Answer:
28.2, 27.63, 27.54, 27.5, 27.22
Answer: 28.2, 27.62,27.5,27.22
Step-by-step explanation:
Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
The area of the shaded regions is 4π + 4, which can be obtained by subtracting 2π - 4 from 3π. This is an exact value, with no further simplification required.
Step 1: Calculate the area of the entire circle.
A = πr^2
A = π(5)^2
A = 25π
Step 2: Calculate the area of the unshaded region.
A = πr^2
A = π(2)^2
A = 4π
Step 3: Subtract the area of the unshaded region from the area of the entire circle.
A = 25π - 4π
A = 21π
Step 4: Calculate the area of the shaded region.
A = 21π - (2π - 4)
A = 21π - 2π + 4
A = 19π + 4
A = 4π + 4
The area of the shaded regions can be found by subtracting the area of the unshaded region from the area of the entire circle. To find the area of the entire circle, we use the formula A = πr^2, where r is the radius of the circle. Plugging in r = 5, we get A = 25π. To find the area of the unshaded region, we use the same formula, but now with r = 2. This gives us A = 4π. Subtracting the area of the unshaded region from the area of the entire circle gives us A = 21π. We then subtract 2π - 4 from 21π to get the area of the shaded region, which is 4π + 4. This is an exact value, with no further simplification required.
Learn more about area here
https://brainly.com/question/13194650
#SPJ4
What does it mean if the question asks "translate triangle ABC with the vector of <-5, 2>
To translate a triangle with vector (-5/2), you need to subtract 5/2 from the x-coordinate and add 2 to the y-coordinate of each vertex of the triangle. This will move the triangle 5 units to the right and 2 units up.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
To translate a triangle with a vector, you can use the vector to adjust the coordinates of the triangle's vertices.
For example, if the triangle has vertices at (x1, y1), (x2, y2), and (x3, y3), you can translate it by the vector (-5/2) by subtracting 5/2 to the x-coordinates of the vertices. The new coordinates of the translated triangle would be (x1-5/2, y1), (x2-5/2, y2), and (x3-5/2, y3).
This will move the triangle 5/2 units to the left along the x-axis.
It is important to note that the translation vector you provided only has one component, which is -5/2. Since the vector only has x component, the translation will only occur along the x-axis and the y-coordinate of the vertices will not change.
To know more about triangle visit:
brainly.com/question/2773823
#SPJ4
6 miles East 4 miles Southeast 4 miles South 7 miles Southwest 4 miles East This person has walked a total of Find the total displacement vector for this walk:
On solving the provided question, we can say that vectors are - 4 miles E: <4, 0>; 4 miles SE: <2√2, -2√2>; 7 miles S: <0, -7>; 6 miles SW: <-3√2, -3√2>; 2 miles E: <2, 0>
what is vector?In mathematics, a vector is a quantity with magnitude and direction but no location. Acceleration and velocity are two examples of such numbers. A thing with both magnitude and direction is called a vector. A vector can be conceptualised geometrically as a directed line segment, the length of which corresponds to the magnitude of the vector, and the direction of which is denoted by an arrow. Size and direction are two independent characteristics of a quantity or phenomena known as a vector. The phrase also describes how these numbers are represented mathematically or geometrically. In nature, vectors may be found in electromagnetic fields, weight, momentum, force, and velocity.
4 + 4 + 7 + 6 + 2 = 23 miles.
vectors are -
4 miles E: <4, 0>
4 miles SE: <2√2, -2√2>
7 miles S: <0, -7>
6 miles SW: <-3√2, -3√2>
2 miles E: <2, 0>
To know more about vector visit:
https://brainly.com/question/30202103
#SPJ4
On a coordinate plane, polygon S prime T prime U prime V prime has points (negative 2, 4), (negative 4, 1), (negative 2, negative 2), and (0, 1).
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y)
and the image S'T'U'V', what are the coordinates of vertex V of the pre-image?
(0, 0)
(0, One-third)
(0, 1)
(0, 3)
The vertex of V' had a preimage of V(0, 3) as V' has a dilation of 3.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, On a coordinate plane, polygon S'T'U'V' has points (- 2, 4), (- 4, 1),
(- 2, - 2), and (0, 1) with a dilation rule DO,1/3 (x, y) to [(1/3)x, (1/3)y].
Therefore, The coordinates of the vertex V had a preimage of,
3(V'), which is 3(0, 1) = (0, 3).
learn more about transformations here :
https://brainly.com/question/11709244
#SPJ1
66. Mechanical Engineering A crossed belt connects
a 10-centimeter pulley on an electric motor with a
20-centimeter pulley on a saw arbor (see figure). The
electric motor runs at 1700 revolutions per minute.
(c) Let L be the total length of the belt. Write L as
a function of o, where is measured in radians.
What is the domain of the function? (Hint: Add the
lengths of the straight sections of the belt and the
length of the belt around each pulley.)
On solving the provided question, we cans ay that - the value of the each unit in this time will be from unitary method is 85.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
value of the 20 unit is 1700
value of the each unit will be 1700/20 = 85
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
help. pls.
-photo attached !
Find the measures of the numbered angles.
(the angles i need to find)
<1 _?
<2 _?
<3 _?
<4 _?
<5 _?
<6 _?
<7 _?
<8 _?
Answer:
<1=75°[corresponding angles are equal]
<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]
<3=<2=105°[Vertically opposite angles are equal]
<4=75°[Alternate angles are equal]
<6=<2=105°[Corresponding angles are equal]
<7=<6=105°[Vertically opposite angles are equal]
<8=75°[Vertically opposite angles are equal]
*mark me brainliest
what is 60 to the power of 3/2? not sure how to calculate it
Answer: 108000
Step-by-step explanation: Here's how I got my answer:
So, first, we need to know something. Whenever there's a fraction, you need to do this. I'll show you the numbers for this problem:
(60^3) / 2
So, the numerator goes in parentheses, and the denominator is what we are dividing by. So, 60^3 is the same as 60 x 60 x 60. You'd get 216000. Then, divide by 2 to get 108000. I hope this helps!
TIP: do NOT turn 3/2 into an improper fraction; 1 1/2. You would get a completely different answer.
How to find the height of an isosceles triangle given 3 sides?
The height of an isosceles triangle can be found by using the Pythagorean Theorem to calculate the length of the hypotenuse, subtracting the lengths of the other two sides, and taking the square root of the difference.
To find the height of an isosceles triangle given three sides, you can use the Pythagorean Theorem. Begin by calculating the length of the hypotenuse (the longest side of the triangle). To do this, square the lengths of the two other sides and add them together. Then, take the square root of that sum. This is the length of the hypotenuse. Next, subtract the lengths of the other two sides from the hypotenuse and take the square root of the difference. The result is the length of the altitude, which is also the height of the triangle.
Learn more about height here
brainly.com/question/27996736
#SPJ4
i need the ratio i got the numbers
which shapes have 2 obtuse angles
Answer: Trapezoid
Step-by-step explanation:
Answer:
Step-by-step explanation:
Trapezoid square and the down right all the way
# Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups
of sugar that Recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for Recipe A?
Answer: 2 2/3
Step-by-step explanation:
Ali, ben and cathy hare an amount of money in the radio 8:9:10 what fraction of the money doe ben get?
There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
What do you mean of ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
How to find the ratio?Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.
For n/(8+9+10), where n is an integer <27
Ali : Ben : Cathy
8 : 9 : 10
Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
To learn more about ratio visit:
https://brainly.com/question/13419413
#SPJ4
What does Scrooge see out of the window when Marely leaves?
(A Christmas Carol) (it was an English question)
Scrooge sees out of his window when Marley's ghost leaves as all the spirits of people whom Scrooge has not met before in his life. Thus, option B is correct.
What is the ghost?Although ghosts are typically thought of as lone, human-like essences, and there have been reports of ghostly battalions, ghosts that resemble animals instead than people.
Here, we have,
Scrooge discovers "the air filled with phantoms" outside s windowsill after Marley's Apparition hath left it. Some of these imprisoned spirits were people Scrooge had indeed known. It resembles an incredible image of the metropolis that Scrooge has already been familiar with. Scrooge is compelled to agree.
Scrooge responds with the ghost's request to peek out just the balcony. He observes a mass of ghosts, each one imprisoned in bonds. As both they and Marley vanish into darkness, they sob at their failure to live noble, compassionate lives and their incapacity to help other people in need.
Therefore, option B is the correct option.
Learn more about ghosts, here:
brainly.com/question/11648302
#SPJ1
Abdul made $162 for 9 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer:218
explanation: 162 divided by 9 = 18 and 18 multiplied by 12 =218
What are the different types of algorithms?
Different types of algorithms are:
Brute Force algorithm Greedy algorithmRecursive algorithmBacktracking algorithmWhat is Brute Force algorithm?As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search—also referred to as generate and test—involves iteratively listing all potential candidates for the solution and determining whether each one satisfies the problem's statement.
A brute-force algorithm would count all integers from 1 to n and determine whether each one divides n without a remainder in order to find the divisors of a natural number n.
For the eight queens puzzle, a brute force method would look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece could engage in mutually exclusive attacks for each configuration.
Learn more about Brute Force algorithm
https://brainly.com/question/20115984
#SPJ4
#1: The equation below describes the relationship between
the number of months (x) since a customer began renting a
storage unit and the total amount of money (y), in dollars, the
customer has paid to the storage facility.
`y=20x+35
Which statement describes a solution of the equation based
on the number of months the customer has rented the storage
unit?
A. After exactly 355 months, the customer has paid $16.
B. After exactly 16 months, the customer has paid $355.
C.After exactly 320 months, the customer has paid $16.
D.After exactly 16 months, the customer has paid $320.
The correct option for the given linear equation is option (B).
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
The given equation is y =20x + 35
y = total amount of money
x = number of months the customer has been renting the storage unit
A) If x = 355
y = 20 * 355 + 35 = $7135
This is not the correct option.
B) If x = 16
y = 20*16 + 35 = $355
This is the correct option.
C) if x = 320
y = 20 * 320 + 35 = $6435
This is not the correct option.
D) If x = 16
y = 20*16 + 35 = $355
This is not the correct option.
Therefore the correct option for the given linear equation is option (B).
To learn more about linear equations, follow the link.
https://brainly.com/question/2030026
#SPJ1
a sample of a radioactive isotope had an inital mass of 130 mg in the year 2010 and decays exponentially over time. a measurmentin the year 2012 found that the samples masshad decayed to 80 mgwjat would be the expected mass of the sample in the year 2021 to the nearest whole number
The expected mass of the sample in the year of 2021 is given as follows:
9 mg.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.The initial mass was of 130 mg, hence the parameter a is given as follows:
a = 130.
In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:
b² = 80/130
b = square root(80/130)
b = 0.78446454055.
This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:
y = 130(0.78446454055)^x.
2021 is 11 years after 2010, hence the expected mass is obtained as follows:
y = 130(0.78446454055)^11
y = 9 mg.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Sally completely solves at least 7 calculus problems per hour and at most 10 calculus problems per hour. Based on this information, what is a possible number of calculus problems that Sally can completely solve in five hours?
Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.
What does calculus mean in plain English?Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!
Calculus is used by who?Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.
minimum = 35
maximum=50
To know more about calculus visit:-
brainly.com/question/6581270
#SPJ4
Angel missies 4% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 55
Answer:
Step-by-step explanation:
55 times 25, making Angel attempt 1375 free throws
Answer:
Step-by-step explanation:
Its 700% because 7x3 = 11
Someone please help me on this & I promise I’ll make sure you get points
The common factors and the greatest common integer for each pair of numbers are:
Common prime factors Greatest common factor
30, 45 3 and 5 5
40, 70 2 and 5 5
63, 42 3 and 7 7
81, 54 3 3
33, 99 3 and 11 11
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
30 and 45
3 x 5 x 2 = 30
3 x 3 x 5 = 45
Common prime factors = 3 and 5
Greatest common factor = 5
40 and 70
2 x 5 x 4 = 40
2 x 7 x 5 = 70
Common prime factors = 2 and 5
Greatest common factor = 5
63 and 42
3 x 3 x 7 = 63
2 x 3 x 7 = 42
Common prime factors = 3 and 7
Greatest common factor = 7
81 and 54
3 x 3 x 3 x 3 = 81
2 x 3 x 3 x 3 = 54
Common prime factors = 3
Greatest common factor = 3
33 and 99
3 x 11 = 33
3 x 3 x 11 = 99
Common prime factors = 3 and 11
Greatest common factor = 11
Thus,
Common prime factors are given above.
The greatest common factor is given above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Wilbur left school and drove toward the town hall at an average speed of 30 mph. Jack left sometime later driving in the same direction at an average speed of 75 mph. After driving for two hours Jack caught up with Wilbur. How long did Wilbur drive before Jack caught up.
Wilbur drove for 5 hours before Jack caught up with him.
How to calculate the distance?Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))
We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.
So we can write:
distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)
We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:
distance = 30 mph x (time) = 75 mph x 2 hours
Then we can solve for time by dividing both sides of the equation by 30:
time:
= (75 mph x 2 hours) / 30 mph
= 5 hours
Learn more about distance on:
https://brainly.com/question/26046491
#SPJ1
How do you solve this
The measure of angle TQW from the given figure is 25°.
What are perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.
Given that, QT⊥PQR at Q, QW⊥QS at Q, and m∠SQP=25°.
From the given figure, m∠SQP+m∠SQT=90° -------(I)
m∠TQW+m∠SQT=90° -------(II)
Here, equation (I)=(II), we get
m∠SQP+m∠SQT=m∠TQW+m∠SQT
m∠SQP=m∠TQW
25°=m∠TQW
Therefore, the measure of angle TQW from the given figure is 25°.
To learn more about the perpendicular lines visit:
https://brainly.com/question/18271653.
#SPJ1
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ a(1)=20 a(n)=a(n−1)−17 third term
The third term of the arithmetic sequence will be negative 14.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term is 20 and the common difference is calculated as,
aₙ = aₙ₋₁ - 17
aₙ - aₙ₋₁ = - 17
d = - 17
Then the third term is calculated as,
a₃ = 20 + (3 - 1) (-17)
a₃ = 20 + 2 (-17)
a₃ = 20 - 34
a₃ = - 14
The third term of the arithmetic sequence will be negative 14.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ1
x+2y=3x+4 into y=mx+b form
x + 2y = 3x + 4
2y = 3x + 4 - x
y = (2x + 4)/2
y = x + 2
Answer: y=x+2
Step-by-step explanation:
you subtract x on the left on both sides then you'll have 2y=2x+4 we have to get y by itself so divide it by 2 on both side and when you do that on the right you divide both 2x and 4 by 2 thus giving y=x+2
How do I solve x-5(x-1=x-(2 x-3)
Answer:
x = 2/3
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3)
x - 5x + 5 = x - 2x + 3
-5x + 5 = -2x + 3
-3x = -2
x = 2/3
A research company desires to know the mean consumption of meat per week among males over age 27. They believe that the meat consumption has a mean of 4.7
pounds, and want to construct a 98 % confidence interval with a maximum error of 0.09 pounds. Assuming a variance of 1 pounds, what is the minimum number of
males over age 27 they must include in their sample? Round your answer up to the next integer.
Answer:
To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:
n = (2 * standard error of the mean / margin of error)^2
Plugging in the values, we get:
n = (2 * (1 / sqrt(n)) / 0.09)^2
Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.
Step-by-step explanation:
How do you write an equation for a parabola with the vertex and Y intercept?
To write an equation for a parabola with the vertex and y-intercept, the equation of vertex form y=a(x-h)^2+k is used.
What is a parabola?
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
Consider an example where vertex is (2,1) and y-intercept is (0,-3).
The equation of parabola needs to be deduced using these points.
The equation of a parabola in vertex form is -
y=a(x-h)^2+k
Here, a is a constant and (h ,k) are the coordinates of the vertex.
So, (h,k)=(2,1)
⇒y=a(x−2)^2+1
To obtain the value of a, substitute (0,−3) into the equation -
-3=4a+1
4a=-4
a=-1
⇒y=-1(x−2)^2+1
Now, distribute and simplify -
y=-1(x−2)^2+1
y=-(x^2-4x+4)+1
y=-x^2+4x-4+1
y=-x^2+4x-3
On, graphing this equation a parabola is obtained.
Therefore, to write an equation of parabola vertex form is used.
To learn more about parabola from the given link
https://brainly.com/question/64712
#SPJ4
PLEASE PLEASE HELP!!
Need it by the end of the night!
4.
Kelly Waxman's annual salary is $30,000. She takes
a married exemption. Using the graduated income
tax rates in the figure on the right, find the annual
state tax withheld. (Section 2-3)
a. $1,877. 21
c. $1,877. 90
b. $2,159. 85
d. $1,662. 50
Personal Exemptions
Single
$1,500
Married
$3,000
Each Dependent
$ 750
State Tax
Annual Gross Pay Tax Rate
First $3,500
3%
Next $3,500
4. 5%
Over $7,000
7%
The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.
Therefore the answer is d) $1,662.50.
Here is the breakdown of the calculation:
Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000
The first $3,500 are taxed at 3%, which is
= 0.03×3500
= $105
The next $3,500 are taxed at 4.5%, which is
= 0.045×3500
= $157.50
The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is
= 0.07×20000
= $1,400
Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.
To know more on tax
https://brainly.com/question/10114457
#SPJ4
click on photo! help!
Answer:
The answer is D) 5, the number of eggs on the charts never exceeds that number.
1. Is the following a function?
2. Write a function that represents the following description:
“After 8 hours, a person earned $148 in wages”
3. Let f(x)=x and g(x)=x-13
Find (f+g)(9)
4. Paige is paying off her car loan. The function that models how much she has left to pay is P(m) = 6000 -300m where m is the number of months since Paige took out the loan. What was the original amount of her loan?
a) The given relation is function.
b) The function is, $x = 18.5 y
c) The value of (f+ g)(9) is 5.
d) The he original amount of her loan is 6000.
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) The given relation is function because is input have have output, no two outputs have same input.
b) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is $x = 18.5 y.
c) Let f(x)=x and g(x)=x-13
(f+ g)(9)
= (x+ x-13) (9)
= 2x -13
= 2(9)- 13
= 5
d) The modeled function. P(m) = 6000 - 300m.
so, the original amount of her loan is 6000.
Learn more about linear function here:
brainly.com/question/20286983
#SPJ1