Solve the system of linear equations by graphing.y=2x+5 y=1/2x−1 can someone help with this and show the graph that would be helpful thanks.
Answers
The graph of the system of equations can be seen on the last image, there we can see that the solution is (-4, -3).
How to solve the system of equations graphically?To do so, we just need to graph both equations no the same coordinate axis, and then find the point where the graphs intercept (if they do).
That point will be the solution of the system of equations.
Here the system is:
y = 2x + 5
y = (1/2)*x - 1
And the graph of the equations can be seen below. There we can see that the lines intercept at (-4, -3), so that is the solution.
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Related Questions
A block of wood has a volume of 270 cubic centimeters and weight 0.280 kilograms. what's its density? will it float in water?
The destiny of the block of wood is _______ 9/cm³
Answers
The density of the block of wood is 1.04g/cm³
What is density ?Density is the ratio of the mass of an object to its volume. It is a scalar quantity and it is measured in g/cm³ or kg/m³.
Density = mass/volume
Mass = 0.280kg = 0.280 × 1000 = 280g
volume = 270cm³
Density = mass/volume
Density = 280/270
= 1.04g/cm³
Because the density of the object is just slightly higher than the density of water which is 1g/cm³
, therefore the object will float in water.
For an object to float in water, it must be equal to the weight or density of the water
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I’ll give brainiest
Please help ASAP
Find the area of the rectangle
What is the area of the rectangle?
Answers
Answer:
9x² - 64 square yards
Step-by-step explanation:
Area of a rectangle is L x W where
L = length
W = width
Letting
L = 3x + 8
W = 3x - 8
L x W = (3x + 8)(3x-8)
Using the identity (z + b)(a - b) = a² - b²
with a = 3x, b = 8
(3x+8)(3x-8) = (3x)² - (8)²
= 9x² - 64 square yards
worth 60 points!! question 2)
Answers
Answer:
y = 4
Step-by-step explanation:
the equation of the midline is the average of the sum of the maximum and minimum values.
maximum value = 6
minimum value = 2
then
y = (6 + 2) ÷ 2 = 8 ÷ 2 = 4
y = 4 ← equation of midline
Help 50 points (show your work)
Answers
The solution to the above problems are given as follows:
7) m∠A = 102°. m∠B = 102.°
8) ∠QSR = 59.6°
9) ∠ADC = 55°
What is the rationale for the above solutions?7) Since both angles are vertical, it, therefore, means they are congruent. Ths,
4x + 6 = 7x-66; collect like terms
6+66 = 7x -4x
72 = 3x
x = 72/2
Thus,
x = 24
Plugging in the value of x back into the expressions, we have:
m∠A = 4x + 6
= 4(24) + 6
= 96+6
= 102°
Thus, m∠A = 102.
Since both angles are congruent, that means m∠B is also 102°
8) To find ∠QSR, we need to find x. Note that Angle on a Straight line sums up to 180°. Thus,
4x-8+34+72-x = 180
4x - 8 + 34 + 72 - x = 180
5x + 98 = 180
5x = 82
x = 16.4
So the solution is x = 16.4.
Since ∠QSR = 76-x
∠QSR = 76-16.4
Thus,
∠QSR = 59.6°
9) Applying the same rule (Angles on a straight line to the above problem, we can state that:
2x+1 + (x-7) = 180°;
To solve for x, we can simplify both sides of the equation and then isolate x:
2x + 1 + x - 7 = 180
3x - 6 = 180
3x = 186
x = 62
So the solution is x = 62.
Thus, ∠EDF = 62 - 7
= 55°
since ∠EDF and ∠ADC are opposite angles, and opposite angles are congruent,
∠ADC = 55°
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Homework 1 triangle mid segments
Answers
The triangle mid-segments will be the two opposite or adjacent sides of a triangle.
What is the triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The sum of all angle of triangle = 180
A line connecting the midpoints of two of a triangle's sides is known as the midsegment. There are always three midsegments in a triangle. The midsegment between any two sides of a triangle is parallel to and half the length of the third side, according to the Triangle Midsegment Theorem, often known as the midsegment theorem.
A midsegment of a triangle is a line segment that joins the midpoints or center of two opposite or adjacent sides of a triangle.
Hence The triangle mid-segments will be the two opposite or adjacent sides of a triangle.
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Complete question:
Define the triangle mid segments.
Is the relation shown a function explain
Input 1 3 4 3
Output 1 9 16 27
Answers
Something can be described as a function if there is only 1 of each number in the input or x.
For example: (9,6) and (9,3) would not be a function because there are two 9’s as the input.
So, for this problem there are two 3’s meaning this is NOT function because there are two outputs for the same number.
Your answer is going to be D.
(x⁵ - 7x⁴ + 3x² - 8) : (x² - 3x + 1)
Answers
Answer:
x³ - 4x² + 3x - 8. is the answer.
Which value is incorrect? 1, 2, 4, 6, 42, 21, 14, or 7?
Answers
Answer:
42?
Step-by-step explanation:
If each of A,B, C stands for a nonzero digit in the following addition, then find the three-digit number ABC.
Answers
The three-digit numbers are:
A = 3
B = -1/3
C = -4/3
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,
A C B
B A C
B C A
C A B
+ C B A
1 2 2 3
Now,
A = 3 _____(1)
B + C + A +B + B = 2
3B + C + A = 2
3B + C + 3 = 2
3B + C = -1
C + A + C + A + C = 2
3C + 2A = 2
Substituing A = 3.
3C + 6 = 2
3C = 2 - 6
3C = -4
C = -4/3 _____(2)
A + B + B + C = 1
Substituting A and C.
3 + 2B - 4/3 = 1
2B = 1 - 3 + 4/3
2B = (3 - 9 + 4)/3
2B = -2/3
B = -2/6
B = -1/3 ______(c)
Thus,
A = 3
B = -1/3
C = -4/3
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to What is the Nalue of angle marked X in the figure below X 2 126 O 115
Answers
Quadrilaterals are objects with four sides, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
What is meant by quadrilateral?A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees. A quadrilateral is a polygon with four sides, such as a square, rectangle, or rhombus. You are most likely currently staring at a computer screen which resembles a quadrilateral. Geometry lessons cover the quadrilateral as a geometrical shape.Two-dimensional shape with sides is known as a quadrilateral. Having four straight sides, a quadrilateral is a two-dimensional shape. Four-sided shapes including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses are examples of quadrilaterals.Sum of all interior angles of quadrilateral [tex]$=360^{\circ}$[/tex]
[tex]& \therefore 50+130+120+\mathrm{x}=300 \\[/tex]
[tex]& \mathrm{x}=60^0[/tex]
(b) [tex]& 90+a=180 \\[/tex]
a = 90
Sum of all angles of quad = 360
[tex]& x+70+60+90=360 \\[/tex]
[tex]& x=140^{\circ}[/tex]
(c) [tex]70+\mathrm{a}=180$ (Linear pair)[/tex]
a = 110
[tex]60+\mathrm{b}=180$ (Linear pair)[/tex]
[tex]$\mathrm{b}=120$[/tex]
Sum of measures of all angles of pentagon [tex]$=540^{\circ}$[/tex]
[tex]& \therefore 120+110+\mathrm{x}+\mathrm{x}+30=540 \\[/tex]
[tex]& 2 \mathrm{x}=280 \\[/tex]
[tex]& \mathrm{x}=140^{\circ}[/tex]
(d) Sum of all angles of pentagon 540
Given all angles are equal
[tex]& \therefore 5 x=540 \\[/tex]
[tex]& x=108^0[/tex]
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It was an extremely cold day on the mountain. The temperature dropped 22 degrees to -13 Degrees F. What was the temperature before the drop?
Answers
If the temperature dropped 22 degrees to -13 Degrees F, the temperature before the drop was 9 Degrees F.
What is temperature drop?Temperature drop refers to a decrease in the temperature of a system or environment.
This decrease can be measured in units of temperature such as degrees Celsius or Fahrenheit, and it can occur due to a variety of reasons such as changes in atmospheric conditions, the loss of heat from a body or system, or other physical processes.
The initial temperature is calculated by
initial temperature = final temperature + temperature drop
initial temperature = -13 + 22
initial temperature = 9
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The nearest whole number of 7 and 3/8
Answers
Answer:
7
Step-by-step explanation:
Part C Aiden and Natalie each built a catapult for their school’s science fair. They constructed their catapults using an elastic band system, where the arm of the catapult is pulled back and then released to launch a tennis ball into the air. The elastic band provides the energy to propel the ball.
Answers
There is not enough information to know whose Tennis ball would go further. Option D.
Is the Catapult a projectile?
We know that the projectile is an object that can be able to move along a parabolic path. In this case, we have a catapult which the energy that launces forth the projectile is derived from the energy that have been stored in the spring of the catapult.
A catapult is a type of projectile weapon that uses mechanical energy to launch a projectile over a long distance as we can see in this problem.
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CAN SOMEONE HELP I WILL GIVE BRAINLIST IT'S DUE TODAY :(
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 8
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.
0.03
0.23
0.30
0.77
The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.
Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Joseph has a bag filled with 3 red, 3 green, 15 yellow, and 9 purple marbles. Determine P(not red) when choosing one marble from the bag.
10%
30%
50%
90%
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a spade.
0.15
0.25
0.35
0.50
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on blue, P(not blue).
0.375
0.625
0.750
0.875
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 8
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.
0.03
0.23
0.30
0.77
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
List the sample space for rolling a fair eight-sided die.
S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials.
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event
Which event will have a sample space of S = {h, t}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
ulia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Sandy used a virtual coin toss app to show the results of flipping a coin 50 times, 400 times, and 2,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 400 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 50 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Answers
Answer:
Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.
0.23
If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Likely
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Joseph has a bag filled with 3 red, 3 green, 15 yellow, and 9 purple marbles. Determine P(not red) when choosing one marble from the bag.
90%
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a spade.
0.15
A spinner with repeated colors numbered from 1 to 8 is shown.
Sections 1 and 8 are purple.
Sections 2 and 3 are yellow.
Sections 4, 5, and 6 are blue.
Section 7 is red.
Determine the theoretical probability of the spinner not landing on blue, P(not blue).
0.375
A spinner with repeated colors numbered from 1 to 8 is shown.
Sections 1 and 8 are purple.
Sections 2 and 3 are yellow.
Sections 4, 5, and 6 are blue.
Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
List the sample space for rolling a fair eight-sided die.
S = {1, 2, 3, 4, 5, 6, 7, 8}
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials.
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Likely
Equally likely and unlikely
Which event will have a sample space of S = {h, t}?
Flipping a fair, two-sided coin
Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
50 POINTS IF CORRECT
Answers
Step-by-step explanation:
I just answered this.
the first group is consistent independent, because both equations are lines with different slope. so, they have 1 intersection, which is the solution.
the second group is consistent dependent, because both equations describe the same line.
multiply the second equation by -2, or divide the first equation by -2, and you see they are identical. multiplying an equation by a factor on both sides does not change the equation or function.
so, as both lines are identical, every point on the line is an intersection and solution. therefore, there are infinitely many solutions.
the third group is inconsistent.
they represent 2 lines with identical slope but different y-interceptions. so, they are parallel and have no intersection or solution at all.
just think : there is no pair of numbers x,y, for which their sum can have 2 different results.
Mr. Argo went to dinner with a friend at Outfront Steakhouse. His dinner cost $40, and he left a 20% tip. What was his total cost?
Answers
Answer: 48$
Step-by-step explanation: well 20% of 40$ is 8$ so the total cost is 48$ that he payed
Answer:
$48.00
Step-by-step explanation:
12. The circle graph represents the jobs at a digital
animation company with 1540 employees
How many more story artists are there
than interns?
Answers
Answer:
231
Step-by-step explanation:
From the pie chart we see that the story artists constitute 20% of the total employee strength of 1540 employees and the interns constitute only 5% of that number
In actual values
Number of story artists = 1540 x 20% = 1540 x 20/100 = 308
Number of interns = 1540 x 5% = 1540 x 5/100 = 77
Difference = 308 - 77 = 231
X is the midpoint of VW. Complete the proof that you UVX = UWX
The options for VX = WX additive property of length, all right angles are congruent, definition of angle, bisector, definition of equilateral triangle, definition of midpoint, reflexive property of congruence, reflexive property of equality, substitution, transitive property of congruence, transitive property of equality, vertical angle, theorem
The answer choice for UX = UX additive property of length, all right angles are congruent, definition of angle, bisector, definition of equilateral triangle, definition of midpoint, reflexive property of congruence, reflexive property of equality, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem
The answer choices for UVX = UWX are CPCTC definition of congruent SAS SSS
I do not need you to show your work , I just need the answers.
Answers
Note that the statement that completes the above proof is "Definition of Angle Bisector"
What does the Angle Bisector Theorem Say?
An angle bisector of a triangle's angle divides the opposing side into two portions that are proportionate to the triangle's other two sides, according to the angle bisector theorem.
The angle bisector theorem asserts that if a point is on an angle's bisector, the point is equidistant from the angle's sides. The opposite of the angle bisector theorem asserts that if a point is in the interior of an angle and equidistant from the sides, it sits on the angle's bisector.
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Please help me answer this question
Answers
Answer:
Improper: 7/4
Mixed: 1 3/4
Step-by-step explanation:
Each little pie slice shape is a fourth (there are 4 in one circle)
Count them. In total there are 7. There are seven pie slices. There are seven fourths.
7/4
This is called an improper fraction because the bigger number is on top and the smaller number is below.
If you consider one circle to be a "whole" then you have one whole and 3/4.
1 3/4
This is a mixed number because it has a whole part and a fraction part.
It would take Mary 3 hours to paint her bedroom by herself. Her older brother Brian could paint the room in 8 hours. Working together, how long would it take for Mary and Brian to paint the room?
Answers
Answer:
3hrs to paint by Mary
8hr for Brian to paint
so together, Brian and Mary mean you add the two
together 3hrs
and 8hrs
equals 11 hrs
3+8=11
Someone help quick please
Y=5+3x for x
Answers
For the equation Y=5+3x the solution for x is (y-5)/3=x.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is Y=5+3x
y equal to five plus three times of x
In the given equation x and y are the variables.
We have to solve for variable x.
Subtract 5 from both the sides
y-5=3x
Divide both sides by 3
(y-5)/3=x
Hence, for the equation Y=5+3x the solution for x is (y-5)/3=x.
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Multiply. Write your answer as a fraction or as a whole or mixed number.
3 × 1/2 =
Answers
After performing the operation on the given number we get the fraction 3/2
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here: multiplication of a whole number 3 and the fraction 1/2
When you multiply two fractions together, you're taking a part of a part. When you multiply a fraction by a whole number, you're taking multiple copies of that fraction. In both cases, the result is a new fraction that represents a different part of a whole.
Thus we have the following after simplifying
3×1/2=3/2
Hence, The required fraction is 3/2
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Please help!!! Have to show work
Answers
Step-by-step explanation:
It is explained in the figure above.
Adam sells pencils for $2.50 per dozen. The expression [Drop Down 1] represents the [Drop Down 2], where
a represents the number of dozen pencils sold.
Answers
The total revenue can be calculated as "2.50a" dollars.
What is the dozen?
A dozen is a grouping of twelve objects, shapes, or numbers. It is abbreviated as doz or dz. Dozen is one of the most primitive customary units of numbers. The number system with the base number 12 is called duodecimal or dozenal.
In this scenario, Adam is selling pencils in dozens and the price he charges for each dozen is $2.50.
To calculate the total revenue, we need to multiply the number of dozens sold (represented by "a") with the price per dozen ($2.50).
The expression "2.50a" represents this calculation, where "a" represents the number of dozens sold and "2.50" represents the price per dozen.
Hence, the total revenue can be calculated as "2.50a" dollars.
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In ΔHIJ,
m
∠
�
=
(
�
−
1
)
∘
m∠H=(x−1)
∘
,
m
∠
�
=
(
2
�
+
5
)
∘
m∠I=(2x+5)
∘
, and
m
∠
�
=
(
7
�
+
6
)
∘
m∠J=(7x+6)
∘
. What is the value of
�
?
x?
Answers
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
If in ΔHIJ, m∠H = x - 1, m∠I = 2x + 5, and m∠J = 7x + 6.
The value of x is 17.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
Example:
Triangle ABC:
m∠A + m∠B + m∠C = 180
here, we have,
We have,
ΔHIJ
m∠H = x - 1
m∠I = 2x + 5
m∠J = 7x + 6
We know that,
The sum of the angles of the triangle is 180 degrees.
m∠H + m∠I + m∠J = 180
(x - 1) + (2x + 5) + (7x + 6) = 180
x - 1 + 2x + 5 + 7x + 6 = 180
10x + 10 = 180
Take 10 common.
10 (x + 1) = 180
Divide both sides by 10.
x + 1 = 180/10
x + 1 = 18
Subtract 1 on both sides.
x = 18 - 1
x = 17
Thus,
If in ΔHIJ,
m∠H = x - 1, m∠I = 2x + 5, m∠J = 7x + 6.
The value of x is 17.
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Parker draws a circle with an area of
40 squared
. He challenges Lauren to draw a circle that has a radius
4 times bigger than the radius of his circle.
what is the estamaited area of laurens circle
Answers
The estimated area of Laurens's circle is 642 squared.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Parker:
Area = 40 squared
This means,
πr² = 40
r² = 40/3.14
r² = 12.74
r = √12.74
r = 3.6
Laurens:
r = 4 x 3.6
r = 14.3
Area = πr²
Area = 3.14 x 14.3 x 14.3
Area = 642
Thus,
Laurens's circle area is 642 squared.
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A tugboat traveled -1.5 miles in 0.3 hours what was its velocity
Answers
Velocity of tugboat is -5 miles/hour .
What is velocity?The velocity of an object is the change in position (displacement) over a time interval. Velocity includes both speed and direction, thus velocity can be either positive or negative while speed can only be positive.
Given,
Displacement by tugboat = - 1.5 miles
Time taken in travelling = 0.3 hours
Velocity = Displacement/ Time
= - 1.5 / 0.3
= - 5 miles/hours
Hence, -5 miles/hour is Velocity of tugboat.
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چار
is constructed so MP = and PN = y.
M
1
K
D
T
4
O
Complete part A of the proof.
5
Part A: Prove a² = c.x
P
Below is the proof of the Pythagorean theorem, that a² + ² = c². The proof is divided into
three parts, where the title of each part indicates its main purpose.
Statement
ZNOM
ZOMN
C
AMNO AMOP
Pick ratio v
a² = c.x
Show the steps.l
ZOPM
PMO
y
[Show the steps.
Part B: Prove 6² = C. Y
b
#
N
Reason
All right angles are congruent.
Part C: Prove a² + b² = c²
Pick reason
Pick criterion ✓
Lengths of corresponding pairs of sides of similar triangles
have equal ratios. (3)
similarity
Multiply both sides by a 2. (4)
21
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Answers
By the given explanation,
It is proven that in given right angle triangles a² = cx.
Congruent angles:The angles that are identical to each other are known as Congruent angles. The measure of these concurrent angles is always equal to each other.
They can be acute, obtuse, exterior, or interior angles because the congruence of angles is unaffected by the type of angle. As we know a right angle is 90° all right angles are congruent angles.
Here we have
Two right-angle triangles MOP and MNO
Measurements of Δ MNO side are a, b, and c is the hypotenuse
Measurements of Δ MOP sides are a, x, and OP is the hypotenuse
Here we need to prove that a² = c x
We can prove its as follows
As we know all right angles are concurrent
Statement Reason
=> ∠NOM ≅ ∠OPM [ ∵ right-angles are concurrent ]
=> ∠OMN≅ ∠PMO [ ∵ Common angle ]
=> ΔMOP ~ ΔMNO [ By Angle - Angle - Angle criteria ]
Since ΔMOP ~ ΔMNO
=> a/x = c/a [ ratio of the corresponding side ]
=> a² = cx [ Corss multiplication ]
Therefore,
It is proven that in give right angle triangles a² = cx.
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PLEASE HELP!! ILL GIVE BRAINLIEST!!!
Answers
The area enclosed by the track is 7,530.64 m².
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know, The area of a circle is πr² and the area of a rectangle is (length×width).
By observing the diagram the total area enclosed by the track is the
sum of the area of a rectangle having a length of 104m and a complete circle having a diameter(2r) of 52 m and the diameter is equal to the width of the rectangle.
Therefore, The area of the track is,
= (104×52) + π(26)².
= 5408 + 2,122.64 m².
= 7,530.64 m².
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The copay to see a specialist who is a network provideThe copay to see a specialist who is a network provider was $ . Her father needed outpatient surgery, and he found a network provider who could help him. After he paid a deductible of $1,000, he paid 20% coinsurance on a surgery that cost $21,000. Therefore, he paid only $ for the surgery. The total amount Gina’s dad paid for his care was $ .r was $
Answers
The amount paid for the surgery is given as follows:
$4,000.
The total amount Gina’s dad paid for her care was of:
$5,000.
How to obtain the amounts?The amounts are obtained applying the proportions in the context of this problem.
The coinsurance of 20% means that Gina's dad pays only 20% of the surgery's price after the deductible.
The deductible is given as follows:
$1,000.
Hence the price of the surgery after the deductible is of $1,000, and the amount paid for the surgery is given as follows:
0.2 x $2000 = $4,000.
Considering the deductible, the total amount paid is given as follows:
1000 + 4000 = $5,000.
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Answer: $20, $4,000, $5,020
Step-by-step explanation:
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