How do you find the vector v with the given magnitude of 9 and in the same direction as u=<2,5>?

Answers

Answer 1

The vector v with a magnitude of 9 and in the same direction as u = <18 / √29, 45 / √29>.

What is the vector?

A vector quantity has both a magnitude and a direction. Speed only has a magnitude, but no direction. Velocity has both.

Given a vector u = <2, 5>, the magnitude of the vector v that is in the same direction as u and has a magnitude of 9 can be found as follows:

Step 1: Find the unit vector in the direction of u

A unit vector in the direction of u can be found by dividing each component of u by its magnitude:

magnitude of u = √(2^2 + 5^2) = √(4 + 25) = √29

unit vector in the direction of u = u / magnitude of u = <2 / √29, 5 / √29> = <2 / √29, 5 / √29>

Step 2: Multiply the unit vector by the desired magnitude

To find the vector v with a magnitude of 9 and in the same direction as u, we can multiply the unit vector by 9:

v = magnitude * unit vector in the direction of u = 9 * <2 / √29, 5 / √29> = <18 / √29, 45 / √29>

Therefore, the vector v with a magnitude of 9 and in the same direction as u = <18 / √29, 45 / √29>.

To learn more about the vector visit,

https://brainly.com/question/15519257

#SPJ4


Related Questions

What is value and what is position in for loop?

Answers

The value represents the content of the current iteration, while the position represents the index or iteration number of that value.

In a for loop, the "value" refers to the current iteration value assigned to a variable, while the "position" refers to the iteration number or index.

For example, in a for loop that iterates over a list of numbers, the value could be each individual number in the list, while the position could be the index of that number in the list.

For example, consider the following code:

numbers = [1, 2, 3, 4, 5]

for i, value in enumerate(numbers):

   print("Position:", i, "Value:", value)

The output of this code would be:

Position: 0 Value: 1

Position: 1 Value: 2

Position: 2 Value: 3

Position: 3 Value: 4

Position: 4 Value: 5

Here, i represents the position, starting from 0 and increasing by 1 for each iteration, and value represents the value assigned to each number in the numbers list.

To know more on loop

https://brainly.com/question/29751512

#SPJ4

A and B are vertical angle. If angle A=(4x13) ∘and B=(7x4) ∘ then find the value of x

Answers

A and B are vertical angles. If angle A=(4x13) ∘and B=(7x4) ∘ then the value of x is 3.

Since A and B are vertical angles, they must and should have equal measures. Therefore, we can set the two expressions equal to each other and solve for x:

4x + 13 = 7x + 4

Subtracting 4 from both sides:

4x + 9 = 7x

Subtracting 4x from both sides:

9 = 3x

Dividing both sides by 3:

x = 3

So the value of x is 3.

After solving the x value, we should subtract 4 from both sides of the equation, which results in 4x + 9 = 7x. Then, we subtract 4x from both sides, then we get 9 = 3x.

Finally, we divide both sides of the equation by 3 to find that x = 3.

To learn more about vertical angles:

https://brainly.com/question/1673457

#SPJ4

suppose x is a random variable that takes values on all positive integers. let a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. describe the events (i) ac; (ii) bc; (iii) ab; and (iv) a ∪ b

Answers

x is a random variable that takes values on all positive integers. Then the events are:

(i) a^c = {0, 1, 5, 6, 7...........}

(ii) b^c = {0, 1, 2, 3}

(iii) ab = {4}

(iv) a ∪ b = {2, 3, 4, 5, 6, 7, 8,..........}

a = {2 ≤ x ≤ 4} and b = {x ≥ 4}.

(i) We have to describe the events a^c

a = {2 ≤ x ≤ 4}

Then a^c = {x : x < 2 or x > 4}

So the elements are

a^c = {0, 1, 5, 6, 7...........}

(ii) We have to describe the events b^c

b = {x ≥ 4}.

Then b^c = {x : x < 4}

Then the elements are

b^c = {0, 1, 2, 3}

(iii) We have to describe the events ab.

The ab = a ∩ b

As we know that a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. So

ab = {x : 2 ≤ x ≤ 4 ∩ x ≥ 4}

ab = {x : x = 4}

So, ab = {4}

(iv) We have to describe the events a ∪ b

As we know that a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. So

a ∪ b = {x : 2 ≤ x ≤ 4 ∪ x ≥ 4}

a ∪ b = {2, 3, 4, 5, 6, 7, 8,..........}

To learn more about random variable link is here

brainly.com/question/24690730

#SPJ4

What is the Diagonal of Rectangle Formula?

Answers

Answer:

square root of (l^2 + b^2)

The formula for the diagonal of a rectangle is given by the d = √(l² + w²).

What is the length of the diagonal of the rectangle?

We can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

The diagonal of a rectangle is a line segment connecting two opposite corners of the rectangle and passes through the interior of the rectangle.

The formula for the diagonal of a rectangle is given by the Pythagorean theorem:

d = √(l^2 + w^2)

Where,

d is the length of the diagonal,

l is the length of the rectangle,

and w is the width of the rectangle.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In the case of a rectangle, the two shorter sides are the length and the width of the rectangle, and the longest side is the diagonal.

Therefore, the diagonal of a rectangle can be considered as the hypotenuse of a right triangle with sides equal to the length and width of the rectangle.

Hence, The formula for the diagonal of a rectangle is given by the d = √(l² + w²).

To learn more about the Diagonal visit,

https://brainly.com/question/12447616

#SPJ4

Use each of the symbols: +,
-, x, and ÷ to make the
following math sentence
true.
12___3___7___1___11 = 0

Answers

The mathematical operation is as follow:

12/ 3 + 7 x 1 - 11 = 0

What is BODMAS?

BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, (in some cases, 'of'), D - Division, M - Multiplication A - Addition, and S - Subtraction.

Given:

12___3___7___1___11 = 0

We have to put the sign such that the resultant value 0.

First take division operation then addition then multiplication  and then subtraction.

12 / 3 = 4

and, 4 + 7 = 11

and, 11 x 1= 11  

and, 11 - 11 = 0

So, 12/ 3 + 7 x 1 - 11 = 0

Learn more about BODMAS here:

https://brainly.com/question/29795897

#SPJ1

t < 0 expresses t is positive in symbols.

Answers

False, t < 0 expresses that t is negative in symbols.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, t < 0 this explains that the symbolic value of the t will be less than zero in the number line.

Since A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Therefore, We can say t < 0 expresses that t is negative in symbols.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

A 16 foot ladder leans against a brick wall. The ladder reaches a height of 8 feet on the wall. The ladder makes a ___° with the wall.
Solve for x

Answers

The ladder makes a 60° angle with the wall.

What makes a right triangle?

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

In this case, we can draw a diagram. What we get is a right triangle with one leg as 8 and the hypotenuse as 16.

This is a 30-60-90 triangle (because the leg is half the hypotenuse).

They want the angle the ladder makes with the wall, so the angle between hypotenuse and leg, which is 60 degrees.

cos (angle) = adjacent / hypotenuse = 8/16

arcos(8/16) = 60°

x = 60°

Hence, The ladder makes a 60° angle with the wall.

To learn more about right triangle visit : brainly.com/question/29285631

#SPJ4

The ladder makes an angle of 60° with the wall . The angle made between the ladder and the wall is 60°.

Here, these values are given,

Height  of ladder = 16 foot

Height of wall = 8 foot

So, We have to find the angle made between the ladder and the brick wall.

Let, the angle made between the ladder and the wall be x °.

So, According to question ,

We use trigonometry for finding the value of angle between the ladder and the wall.

cos∅ °= base/height ( b/h)

Because, base = height of wall and hypotenuse = height of ladder.

Then, cos x° = 1/2

 cos x ° = cos 60°

 So, x° = 60°

Learn more about trigonometry here:

https://brainly.com/question/26719838

#SPJ4

Drag each symbol to the correct location on the equation. Not all symbols will be used. A group of third-grade and fourth-grade students are taking a field trip. The group will fill a total of vans to take them on the field trip. Each van seats 8 students. There are 27 third-grade students in the group. The rest of the students in the group are fourth-graders. Complete the equation to show how to find , the number fourth-grade students in the group.

Answers

The equation that represents the number of fourth-grade students in the group will be 4 x 8 - 27 = f.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The capacity of four vans is given as,

⇒ 4 x 8

There are 27 third-grade students in the group. Then the number of fourth-grade students in the group will be given as,

4 x 8 - 27 = f

The equation that represents the number of fourth-grade students in the group will be 4 x 8 - 27 = f.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Your teacher has the same hat with numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 in it. She wants you to take two turns drawing a number. After the first time you draw, you will put the number back in the hat before drawing again. What are the chances that you will draw 4 two times in a row?

Answers

Answer:

Answer: 1/6

Step-by-step explanation:

Total number of numbers = 12Total number of 4  or 6 = 2P( 4 or 6) = 2/12 = 1/6Answer: 1/6

Select all of the equations that represent linear relationships. 5 + 2y = 13 y = 1/2xsqrd+7 y – 5 = 2(x – 1) y/2 = x + 7 x = –4

Answers

Answer:

Step-by-step explanation:

PLACEHOLDER

The equations that represent linear relationships are:

y – 5 = 2(x – 1)
y/2 = x + 7
x = -4

I don’t know how to solve these questions. Or write a polynomial function in factored form.

Answers

Therefore , the solution of the given problem of polynomial function comes out to be -3x³ -x² - 2x + 3.

Describe polynomials.

A polynomial is a mathematical statement with coefficients and error that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to an expression in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, and increased to negative integer ones of non-variables. A polynomial is an algebraic expression having variables and coefficients.

Here,

Given :

=> - 5 , -4 ,- 3

=> -3 , -1 , -2 ,3

=> 1 , 2, 0

to write a polynomial function in factored form :

=> -5x² - 4x - 3

=> -3x³ -x² - 2x + 3

=> x² + 2x

Therefore , the solution of the given problem of polynomial function comes out to be -3x³ -x² - 2x + 3.

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

Jenny has a bag with seven blue sweets and 3 red sweets in it. She picks up a sweet at random from the bag ,replaces it and then picks again at random. Draw a tree diagram to represent this situation and use it to calculate the probabilities that she picks

Answers

A tree diagram for the scenario is:

      Start

      /    \

    Blue    Red

    /    \

 Blue    Red

 /    \

Blue    Red

What is a Tree Diagram?

A probability space can be represented by a tree diagram in probability theory. A series of independent events or conditional probabilities may be represented using a tree diagram. The diagram's nodes each represent an occurrence and their respective probabilities.

To calculate the probability of picking a blue sweet twice in a row, we need to multiply the probability of picking a blue sweet on the first try (7/10) by the probability of picking a blue sweet on the second try (7/10), resulting in (7/10) * (7/10) = 49/100.

Similarly, to calculate the probability of picking a red sweet on the first try and a blue sweet on the second try, we need to multiply the probability of picking a red sweet on the first try (3/10) by the probability of picking a blue sweet on the second try (7/10), resulting in (3/10) * (7/10) = 21/100.

So the probability of picking a red sweet twice in a row is (3/10) * (3/10) = 9/100.

Thus, the probability of picking blue twice in a row is 49/100, and the probability of picking red-blue or blue-red is 21/100.

Read more about tree diagrams here:

https://brainly.com/question/27635621

#SPJ1

The width of a rectangle is 3 units less than the length. The area of the rectangle is 28 units. What is the length, in units, of the rectangle?

Answers

The length, in units, of the rectangle is 7 units

How to determine the length of the rectangle

The formula for calculating the area of a rectangle is expressed with the equation

A = lw

Given that the parameters are given as;

A is the area of the rectanglel is the length of the rectanglew is the width of the rectangle

Now, we have that;

Length = l

width = 3 - l

Area = 28

Substitute the values, we get;

28 = l(3-l)

expand the bracket

28 = l² - 3l

Solve the quadratic equation

l² - 7l + 4l - 28 = 0

l - 7 = 0

l = 7 or l = -4

Hence, the value is 7 units

Learn about rectangles at:

https://brainly.com/question/25292087

#SPJ1

What number should go in the space?

Multiplying by 0. 05 is the same as decreasing by

_%.

Answers

Multiplying by 0.05 is the same as decreasing by 95%.

Multiplying a number by 0.05 is equivalent to decreasing that number by a certain percentage. To determine this percentage, we can use the formula: 100 - (100 * 0.05) = 100 - 5 = 95. This means that multiplying a number by 0.05 is the same as decreasing it by 95%. For example, if a person has $100 and multiplies it by 0.05, the result will be $5, which is a decrease of 95% from the original amount.

In other words, 0.05 is equivalent to 95% of a number, and multiplying by 0.05 is the same as decreasing the number by 95%. This relationship between multiplication by 0.05 and decreasing by a certain percentage is important in various mathematical and real-world applications.

Read more on Multiplying :

https://brainly.com/question/10873737

#SPJ4

x^2+6x complete the square then factor the trinomial

Answers

By adding and subtracting 9, we will be able to complete squares and rewrite the expression as:

x^2 + 6x = (x + 3)^2 - 9

How to complete the square?

Remembert that the perfect square trinomial is:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the quadratic expression:

x^2 + 6x

We can rewrite the second term as:

x^2 + 2*3*x

Then, comparing with the variables on the first equation, we can use:

x = a

3 = b

Then what we need to add to complete squares is 3^2 = 9

To not change the expression, we will add and subtract that number (which is equivalent to adding 0).

x^2 + 2*3*x + 9 - 9

(x^2 + 3*3x + 9) - 9

(x + 3)^2 - 9

That is the expression after we complete squares.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

click and drag the steps in the correct order to show that ¬p → (q → r) and q → (p ∨ r) are logically equivalent. (note: while proving, prove the equivalence from ¬p → (q → r) to q → (p ∨ r).)

Answers

The order of steps will be :

Step 1 : p V (q ⇒ r)

Step 2 : p V ¬ q V r

Step 3 : ¬ q V p V r

Step 4 : q ⇒ (p V r)

Given,

¬p → (q → r)  and q → (p ∨ r) are logically equivalent.

Now to prove the equivalence,

¬p → (q → r) to q → (p ∨ r)

The order of steps is given below:

Step 1 : p V (q ⇒ r)

Step 2 : p V ¬ q V r

Step 3 : ¬ q V p V r

Step 4 : q ⇒ (p V r)

Hence the equivalence can be shown.

Know more about equivalence,

https://brainly.com/question/30229501

#SPJ12

The graph shows linear equations y = f(x) and y = g(x). Find the solution to the equation f(x) - g(x)=0

Answers

The solution to the equation f(x) - g(x)=0 is the x-intercept of the two lines, which is the point at which the two lines intersect.

Find the solution to the equation f(x) - g(x)=0?The solution to the equation f(x) - g(x)=0 is the point of intersection between the two linear equations, which is where both equations have the same value of y.This point of intersection is known as the x-intercept and can be found by solving the equation for x.To do this, we must first rearrange the equation to make x the subject, which can be done by adding g(x) to both sides of the equation, giving us f(x) = g(x).We can then solve for x by setting each side of the equation equal to 0, and then solving for x. The x-intercept is the point where both equations have the same value of y, which means that we can also solve for the y-intercept by substituting the x-intercept into either equation and solving for y.Once we have both the x-intercept and y-intercept, we can plot the point on the graph, which is the solution to the equation f(x) - g(x)=0. This is known as the point of intersection between two linear equations, and is a key concept in algebra and calculus.Knowing how to solve for the point of intersection between two linear equations can be used to solve a variety of equations, and is an important skill for any mathematician.

To learn more about the point of intersection refer to:

https://brainly.com/question/343077

#SPJ1

-3p>-6 or 4p + 1 > 13

Answers

The solution to the inequality equation -3p > -6 or 4p + 1 > 13 is p < 2 or p > 3

How to solve inequality?

-3p > -6

p < -6/-3

p < 2

or

4p + 1 > 13

Subtract 1 from both sides

4p > 13 - 1

4p > 12

divide both sides by 4

p > 12/4

p > 3

Hence, the solution to the given inequality 3p > -6 or 4p + 1 > 13 is p < 2 or p > 3

Read more on inequality:

https://brainly.com/question/25275758

#SPJ1

Find the rate
36 is what percent of 200

Answers

Answer:

36 is 18% of 200

So you will just want to divide 36 by 200, and multiply by 100.

36/200 = 0.18

When multiplying a decimal by 100, you can just move the decimal point 2 digits to the right.

0.18 * 100 = 18

18%

Step-by-step explanation:

Hope it helps! =D

What’s the function of this?

Answers

The hint about this being a linear function is a critical piece of information.


A linear function has a fixed slope, so you can use the slope formula to find that slope using the two given points, (-3,-5) and (-1,-1).

        [tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{-1-(-5)}{-1-(-3)} = \dfrac{4}{2}=2[/tex]

Now you can use that slope and a point to find the equation of the function.

g(x) = mx + b, but m=2, so g(x) = 2x + b

If we plug in one of the points, we can calculate b:

     -5 = 2(-3) + b

     -5 = -6 + b

       1 = b

Now you have your function: g(x) = 2x + 1

You can use it to calculate the missing values in the table.

Verify that phi(x) = 2/1-ce^3x, where c is an arbitrary constant a one-parameter family of solutions to the de dy/dx=3y^2-6y/2?

Answers

The function phi(x) = 2/1-ce³ˣ  is a one-parameter family of solutions to the differential equation dy/dx = 3y² - 6y/2.

A function is a one-parameter family of solutions to a differential equation if it satisfies the equation for all values of the arbitrary constant "c".

In this case, the function phi(x) = 2/1-ce³ˣ is a one-parameter family of solutions to the differential equation because, no matter what the value of "c" is, the function will always satisfy the equation.

So, when we say that

=> phi(x) = 2/1-ce³ˣ

is a one-parameter family of solutions to the differential equation

=> dy/dx = 3y² - 6y/2,

we mean that the function can be used to describe the rate of change of y with respect to x for a range of values of y.

By changing the value of the constant "c", we can get different specific solutions to the differential equation, each corresponding to a different curve in the x-y plane.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

1. region above both lines
2. Region below both lines
3. Region Between both lines
4. No Solution

100 POINYS

Answers

a. Region is below both lines.

b. Region is above both lines

c. No solution

d. Region between both lines

What is an inequality?

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given inequalities,

a. y < 8+2x and 3 + 2x >y

by the graph

Region is below both lines

b. 5 + x < y and y > 7 + x

by the graph

Region is above both lines

c. y > 12 - 3x and 10 - 3x > y

by the graph,

No solution.

d. 6 - x < y and y < 9 - x

by the graph

Region is between both lines.

Hence,

a. Region for the inequalities is below both lines

b. Region for the inequalities is above both lines

c. Region for the inequalities has no solution

d. Region for the inequalities is between both lines

Learn more about inequality here:

https://brainly.com/question/30228778

#SPJ1

A pilot was asked to drop food packets in a terrain. He must fly over the entire terrain only once but cover a maximum number of drop points. The points are given as inputs in the form of integer co-ordinates in a twodimensional field. The flight path can be horizontal or vertical, but not a mix of the two or diagonal. Write an algorithm to find the maximum number of drop points that can be covered by flying over the terrain once.

Answers

The algorithm to find the maximum number of drop points that can be covered by flying over the terrain once is coded below.

To find the maximum number of drop points that can be covered by flying over the terrain once, use the following algorithm:

1. Read the input values:

Read the integer xCoordinate_size, representing the number of x coordinates (N).

Read the N space-separated integers representing the x coordinates.

Read the integer yCoordinate_size, representing the number of y coordinates (M).

Read the M space-separated integers representing the y coordinates.

2. Create two sets to store the unique x and y coordinates.

Let's call them xCoordinatesSet and yCoordinatesSet.

3. Traverse the input x coordinates:

  - For each x coordinate, add it to the xCoordinatesSet.

4. Traverse the input y coordinates:

For each y coordinate, add it to the yCoordinatesSet.

5. Calculate the number of drop points that can be covered:

The maximum number of drop points that can be covered is the minimum between the size of xCoordinatesSet and yCoordinatesSet.

6. Output the result:

Print the calculated maximum number of drop points.

The algorithm in pseudocode:

function findMaxDropPoints():

   Read xCoordinate_size

   Read xCoordinates (N space-separated integers)

   Read yCoordinate_size

   Read yCoordinates (M space-separated integers)

   xCoordinatesSet = new Set()

   yCoordinatesSet = new Set()

   for each x in xCoordinates:

       xCoordinatesSet.add(x)

   for each y in yCoordinates:

       yCoordinatesSet.add(y)

   maxDropPoints = min(xCoordinatesSet.size, yCoordinatesSet.size)

   Print maxDropPoints

By following this algorithm, efficiently find the maximum number of drop points that can be covered by the pilot while flying over the terrain only once.

The solution has a time complexity of O(n), where n is the number of drop points, which is optimal.

Learn more about Algorithm here:

https://brainly.com/question/33268466

#SPJ4

The question attached here seems to be incomplete, the complete question is:

A pilot was asked to drop food packets in a terrain. He must fly over the entire terrain only once but cover a maximum number of drop points. The points are given as inputs in the form of integer co-ordinates in a two- dimensional field. The flight path can be horizontal or vertical, but not a mix of the two or diagonal.

Write an algorithm to find the maximum number of drop points that can be covered by flying over the terrain once.

Input

The first line of input consists of an integer-xCoordinate_size, representing the number of x coordinates (N).

The next line consists of N space- separated integers representing the x coordinates.

The third line consists of an integer- yCoordinate_size, representing the number of y coordinates (M).

The next line consists of M space- separated integers representing the

Coordinator

h/6 − 1 = −3

thanku

Answers

Answer:

h = -12

Step-by-step explanation:

Here's a step-by-step explanation to solve the equation:

h/6 - 1 = -3

Start by adding 1 to both sides of the equation to isolate h/6 on one side.

h/6 - 1 + 1 = -3 + 1

h/6 = -2

Next, multiply both sides of the equation by 6 to isolate h on one side.

6 * (h/6) = 6 * (-2)

h = -12

So the solution is: h = -12.

Your answer will be h = -12

ethan is using his compass and straightedge to complete a construction of a polygon inscribed in a circle. which polygon is he in the process of constructing? (1 point)a circle with a diameter is drawn with two arc markings shown.

Answers

Ethan is in the process of constructing an equilateral triangle. So, option(A) is the correct answer.

Circle:

All points in a plane that are at a particular distance from a specific point, the center, form a circle.In other words, it is the curve that a moving point in a plane draws to keep its distance from a fixed point constant.

Polygon:

In geometry, a polygon is any closed curve made up of a group of continuous line segments without any intersections.Triangles (three sides), quadrilaterals (four sides), and pentagons are the three basic polygons (five sides).

Triangle:

A polygon that has three edges and vertices is called a triangle.ΔABC is the designation for a triangle with vertices A, B, and C.In Euclidean geometry, any three points that are not collinear make a distinct triangle and a distinct plane.

Therefore, Ethan is in the process of constructing an equilateral triangle.

Read more about equilateral triangles:

https://brainly.com/question/17264112

#SPJ4

The complete question is:

Ethan is using his compass and straightedge to complete the construction of a polygon inscribed in a circle. Which polygon is he in the process of constructing?

1. An equilateral triangle

2. A square

3. A regular pentagon

4. A regular hexagon

Cycle carbon out of the atmosphere V.s Cycle carbon into the atmosphere

Answers

Carbon is released back into the atmosphere when organisms die, volcanoes erupt, fires blaze, fossil fuels are burned, and through a variety of other mechanisms.

About the Atmosphere

The atmosphere is the layer of gas that surrounds a planet, including Earth. Atmosphere is taken from the Greek words "atmos" and "sphaira". Atmos means water vapor or gas and sphaira means blanket.

As mentioned above, the atmosphere also surrounds the planets other than Earth. Generally the thickness of the atmosphere is approximately 1,000 kilometers. On Earth alone, the atmosphere is 560 kilometers thick from the ground to space.

The mass of Earth's atmosphere is known to be 59 x 1014 tonnes. The gas content of each planet's atmosphere is usually different, depending on the most abundant gas elements or compounds on that planet.

Learn more about atmosphere at https://brainly.com/question/26767532

#SPJ1

Jessie and Bob are financing $425,500 to purchase a house. They obtained a 30/8 balloon mortgage at 6. 55% What will their balloon payment be? (3 points)

Answers

Jessie and Bob's balloon payment will be $529,229.56.

A balloon mortgage is a type of mortgage in which the borrower makes smaller monthly payments over the term of the loan, with a large balloon payment due at the end.

To calculate the balloon payment, we need to know the amount of the loan, the interest rate, and the term of the loan.

Given that Jessie and Bob are financing $425,500 to purchase a house, the interest rate is 6.55%, and the term of the loan is 30/8 (or 3.75) years, we can use the below formula to calculate the balloon payment:

Balloon payment = Loan amount * (1 + Interest rate * Loan term)

Balloon payment = $425,500 * (1 + 6.55% * 3.75)

Balloon payment = $425,500 * 1.249625

Balloon payment = $529,229.56

Therefore, Jessie and Bob's balloon payment will be $529,229.56.

To learn more about the interest rate:

https://brainly.com/question/25720319

#SPJ4

HELP PLS IM BEGGING:
You have a checking account and a savings account at a credit union. Your checking account has a constant balance of $500. The table shows the total balance of the accounts over time.
Year (t) Total balance
0. $2500
1. $2540
2. $2,580. 80
3. $2,622. 42
4. $2,664. 86
5. $2,708. 16

a. ) Write a function m that represents the balance of your savings account after t years.
m(t)=
b. ) Write a function B that represents the total balance of the two accounts after t years.
B(t)=

Answers

a.) M(t) = 2500 + 40t is a representation of the savings account amount after t years. The $2500 starting sum is added to a $40 annual increase using this function.

b.) The total balance of the two accounts at the end of t years may be written as B(t) = m(t) + 500. In this function, the constant $500 checking account amount is added to the savings account balance, m(t).

Investment

Investment is the act of allocating funds or capital to buy securities or other assets with the hope of making a profit or seeing their value rise.

Investments come in a variety of shapes and sizes, including stocks, bonds, mutual funds, and other types of real estate and commodities. Choosing the appropriate mix of investments is a crucial component of a smart investing plan since each form of investment has unique risks and possible returns.

Investments are mostly made with the intention of increasing wealth over time. By investing, people can build wealth for long-term financial stability or save for future costs like retirement. Due to the fact that investment returns frequently outperform inflation rates, investing can also act as a hedge against inflation. The type of assets a person chooses and the amount of risk they are ready to take depend on their investment objectives and time horizon.

According to the question

A linear function, m(t) = 2500 + 40t, may be used to describe the savings account balance, where t is the number of years that have elapsed. The $2500 starting sum is taken into consideration, and for each year that has gone, an additional $40 is added. This gain might be compared to an annual interest rate or investment growth.

Then, B(t) = m(t) + 500 may be used to represent the combined balance of both accounts. This function transfers the fixed balance of $500 in the checking account to the savings account balance, m(t). We may simply fill in the value of t to get the total financial condition at any given year by merging both accounts.

Making decisions about spending, saving, and investing may be done using this kind of depiction, which is helpful for tracking financial development over time. It may also be used to define financial objectives and monitor progress toward them. One may change their spending patterns and investing strategies to get to the desired financial position by keeping an eye on the trend in the growth of the overall balance.

To know more about Investment on brainly : brainly.com/question/22530069

#SPJ4

a.) M(t) = 2500 + 40t is a representation of the savings account amount after t years. The $2500 starting sum is added to a $40 annual increase using this function.

b.) The total balance of the two accounts at the end of t years may be written as B(t) = m(t) + 500. In this function, the constant $500 checking account amount is added to the savings account balance, m(t).

Investment

Allocating money or capital to purchase securities or other assets in the hopes of turning a profit or seeing their value increase is known as investing.

Stocks, bonds, mutual funds, and other forms of real estate and commodities are just a few examples of the many shapes and sizes that investments can take. As each type of investment carries specific risks and potential rewards, selecting the right balance of investments is essential to a sensible investing strategy.

Most investments are made with the hope of accumulating money over time. By investing, people can increase their wealth and secure their long-term financial well-being or save for future expenses like retirement. Investing can also serve as an inflation hedge because it frequently outperforms inflation rates in terms of returns. The kind of assets a person selects and the level of risk they are willing to accept are determined by their investment goals and time horizon.

According to the question,

A linear function, m(t) = 2500 + 40t, may be used to describe the savings account balance, where t is the number of years that have elapsed. The $2500 starting sum is taken into consideration, and for each year that has gone, an additional $40 is added. This gain might be compared to an annual interest rate or investment growth.

Then, B(t) = m(t) + 500 may be used to represent the combined balance of both accounts. This function moves the fixed $500 check account balance to the savings account balance m(t). To obtain the complete financial situation for any given year by merging both accounts, we can simply enter in the value of t.

This form of depiction can be used to make decisions regarding spending, saving, and investing and is useful for following the evolution of your finances over time. Setting financial goals and tracking progress toward them are other uses for it. By keeping an eye on the trend in the growth of the overall balance, one can adjust their spending habits and investment methods to reach the desired financial position.

To know more about investments

brainly.com/question/22530069

#SPJ4

Please please help due sooon

Answers

the slope is x =-1
explanation:
the line crosses the x axis at -1 and the line isn’t tilting any which way

Answer:

It would be a undefined slope. This is because the x value of a straight vertical line can go infinite in both ways without ever changing its y value.

A building is in the from of a cylinder of radius 7 m and height 6 m sumounted by a cone of same radius and of siant height 14 m calculate the outer surface area of the building

Answers

The outer surface area of the building is 356 m².

What distinguishes surface area from outer surface area?

The total area of a three-dimensional object's base, top, and any lateral or exterior surfaces is measured as surface area. A cone, cube, cuboid, or cylinder's surface area is the area it covers on the outside. The formula for a cube's total surface area is 6 (side)2. A cuboid's lateral surface area is equal to 2(length + width) height. Similar to this, a cube with side "a" has lateral surface area equal to 4 (side)2.

Given that,

radius of building = 7m

and its saint height = 14m

Outer surface area = πrl + 2πrh

                                  = πr( L + 2h )

                                 = 22/7 × 7 ( 14 + (2×6))

                                  = 22 × (14 + 12)

                                  = 22 × 26

                                  = 356 m².

To know more about outer surface area visit:-

https://brainly.com/question/17055716

#SPJ1

Other Questions
Which of the following transitions would introduce a counterclaim in an argumentative essay? After all For instance Most important Some may say 2 2/3 +2 1/6 as a fraction in how many ways can 8 questions true and false examination be answered if he answers half the questions true and half false A monument is made up of 50,123 sandstone blocks and 100,001 limestone ones. How many blocks make up the monument? Official definitions of sports in the US emphasize... a. formally organized, competitive activities b. health-related activities that reduce obesity rates c. activities in which there are no winners or losers d. age-integrated activities that can be played anywhere Does your audience care what you as a speaker think? Can they see how your speech applies to their lives and interests? B.Select the letter of the choice that best completes the statement.1. A genetic disorder is caused by a conditiona. that occurs in the first trimester.b. that occurs during delivery.c. that occurs in the last trimester.d. that results from a variation in the genetic pattern. What is the difference between the area of Figure A and thearea of Figure B? Each grid square represents 1 square foot a[]+Score on last try: 0 of 1 pts. See Details for more.> Next questionGet a similar question You can retry this question belowYou want to buy a $237,000 home. You plan to pay 20% as a down payment, and take out a 30 yearloan for the rest.a) How much is the loan amount going to be?b) What will your monthly payments be if the interest rate is 6%?c) What will your monthly payments be if the interest rate is 7%?Enter an integer or decimal number [more]Question Help: VideoSubmit Question The most benevolent king communicates through your dreams"a. Shakespeareb. Hip Hop Determine the following limits, using [infinity] or [infinity] whenappropriate, or state that they do not exist. a. limx5+ 1/x5 b. limx5 1/x5 c. limx5 1/x5 Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. two ceramic balls of identical radius are placed on a lab table and shot towards one another with identical speeds. after colliding with each other, ball b recoils farther from the point of impact than does ball a. which ball has the greater density? What is an algebraic rule yall didnt teach me this stuff Ethical sensitivity is enhanced by identifying which ethical and professional issues? (Check all that apply)StakeholdersHarms and benefitsEthical reasoning methodsGAAP and GAAS T/F economics is the study of how society manages its unlimited the great red spot is a hurricane-like storm (twice the size of earth) that has existed on the surface of jupiter for over 300 years. how is it possible for this storm to have lasted so long? the rate of unemployment is found by dividing the: a. a labor force by the number of people looking for work. b. unemployed and discouraged. c. number of people looking for work by the population. d. number of people looking for work by the number of people looking for work plus the number of people employed. calculate the integral, assuming that 10()=4, 20()=5, 41()=10. How would you modify the portion of Territory Loss on the Treaty of Versailles