The right triangle below has legs of length and.
The hypotenuse has length.
Four copies of this triangle are arranged as follows.
The hypotenuses form a square of side length and area.
Answer the questions below to find how, and are related.
Part 1: Compute the total combined area of the four triangles:

Part 2: Compute the area of the large (outer) square:
Part 3: Using your answers in Parts 1 and 2, find the area of the small (inner) square.
Part 4: We are given the side lengths and. Compute.
Part 5: Use, or complete the statement below.

Answers

Answer 1

Answer + explanation:

Part 1: First, find the area of one triangle using the formula base * height / 2. You have base = 10 and height = 7, so area = 7 * 10 /2 = 70/2 = 35. Since you're finding the combined area of 4, you have to do 35 * 4 = 140.

Part 2: To do this, find the side length of the square. Looking at the picture, you see that all you have to do is 10 + 7 = 17 to find one side. Then, to find the area do 17 * 17 = 289.

Part 3: To find the area of the small square, all you do is area of the large square - combined area of 4 small triangles, so 289 - 140 = 149.

Part 4: a^2 = 7 * 7 = 49. Then, b^2 = 10 * 10 = 100. Adding them together, you get 100 + 49 = 149.

Part 5: Since you already have the a^2 + b^2 part, all you need to do is find what c^2 is. You can see in the picture that c^2 equals the area of the small square, which you found in part 3. c^2 = 149. Then, you have 149 and 149, which are equal so the answer is =.

Related Questions

Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?

Answers

Answer:

you would of bought three bags of tomatoes

Sam wants to make a sketch of the white house with a scale factor of 2 inches to 15 feet. She knows that the white house is about 85 feet wide and 152 feet long. What will the width and height of her model be?

Answers

Answer: The width of the model = 11.33 inches and the height of the model = 20.27 inches.

Step-by-step explanation:

Given: Scale factor: 2 inches in model = 15 feet in actual.

White house is about 85 feet wide and 152 feet long.

Width of model = [tex]\dfrac2{15}\times85=\dfrac{34}{3}=11.33\text{ inches}[/tex]

Height of model = [tex]\dfrac{2}{15}\times152\approx20.27\text{ inches}[/tex]

Hence, the width of the model = 11.33 inches and the height of the model = 20.27 inches.

Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.

Answers

The radius of the outer circle is 17 so you put that in the formula to find the area of a circle and solve to get 153.86 squared meters as the final answer. The radius of the inner circle is 7 because it shows that the upper part of the circle is 10 and the whole thing is 17, so you do 17-10 to get 7 as the radius. Then put it in the formula and get the final answer as 907.46 squared meters.

Subtract the following polynomials

1. (q² + 8) - (4q² + 1)

2. (3x + 7x² - 6) - (5x² + x + 9)

Answers

Answer:

1. (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

Question 1
= q^2 -4q^2 + 8 -1
= 3q^2 + 7

Question 2
=7x^2 - 5x^2 + 3x - x -6 - 9
=2x^2 + 2x - 15

What is the change in temperature from -8°F to 14°F?
-6°F
6°F
0
-22°F
22°F

Answers

-17 +17
Shsjxjxnxxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxj

Pleas help if possible :)

Answers

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

ANSWER M= (0, 5)
To get the midpoint you will need to use the formulas: x1 +x2 divided by 2, and y1 + y2 divided by 2.
X=0 (or undefined) Y=5
ANSWER AB: 6
Square root: (3 - (3))^2 + (5 - 5)^2 to get 6
I’m sorry if that sounds a little complicated

Which pairs of expressions below are equivalent? A9m+4m13m2 B2(3m−4n)6m−4n C7(2m−3n)14m−21n D5m+5n+5m+5n5(m+n)

Answers

Answer:

7(2m−3n)14m−21n

Step-by-step explanation:

The following pairs are equivalent

7(2m - 3n)

14m - 21n

If you solve 7(2m - 3n)

7(2m) - 7(3n)

14m - 21n

So according to the given options, the option c is correct as this pairs is to be considered as equivalent

The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer:

16p^2 - 24p - 9

Step-by-step explanation:

I literally just took the test lol

Please help me answer all three

Answers

Step-by-step explanation:

You have to give us more information, who is the character. Is it you? Someone else?

the answers are the back of the book. I know because I have the same one

The equation is written in point-slope form. What is the equation written in slope-intercept form?

Answers

Answer:y+6 = 1/3 (x, -9)

Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.

What is the y intercept and slope??

Answers

Answer:

y = .5x+30

Step-by-step explanation:

[tex]m= \frac{y2-y1}{x2-x1}[/tex]

hope this helps, good luck :)

Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1?

(1, –1)
(0, 0) and (0, –1)
(0, 0) and (2, 0)
no solutions

Answers

Hopefully someone comes along and helps, 0,0 - 732 + 3

Answer:

D) no solutions :D

Determine the value of y, if x is-9.

Answers

Answer:

[tex]y=82[/tex]

Step-by-step explanation:

We know the value of x is -9 so we can plug it in as -9.

[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]

Answer:

82=y

Step-by-step explanation:

-9 x -9 = 81

81 + 1 = 82

i really need help ASAP, its due on midnight

Answers

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

Tucker got in his car and started driving toward his grandmother's house. After driving for 1 hour and 30 minutes, Tucker took a break for 40 minutes to have a snack. Then Tucker drove 1 hour and 40 minutes and finally arrived at his grandmother's house at 6:05 P.M. What time did Tucker start driving?

Answers

Answer: He started driving at 2:15 P.M.

Step-by-step explanation:

Answer:

3:05 P.M

Step-by-step explanation:

6:05 - 1 hour and 30 min = 5:25

5:25-40 minutes = 4:45

4:45 - 1 hour 40 minutes = 3:05 P.M

Assume that the lines are parallel.

Answers

Answer:

left ?= 110

right?= 70

Step-by-step explanation:

What is the reciprocal of 3 2/3

Answers

Answer:

the answer is 5

Step-by-step explanation:

Answer:

0.27272727272 is the reciproval of 3 2/3

what is the factored form of 4(3x + 12) + 4?

Answers

Answer:

12x + 52

Step-by-step explanation:

Distribute.

(4 • 3x + 4 • 12) + 4

12x + 48 + 4

12x + 52

Gordon types 2,964 words in 39 minutes. Find the unit rate.

Answers

Answer:

76 words per minute

Step-by-step explanation:

2964/39=76 words per minute

Select the correct answer.
What is the simplified form of V45?
OA. 15
OB. 19.5
O c. 35
OD. 53

Answers

Answer:

C. 3√5

Step-by-step explanation:

45 = 3 × 3 × 5 considering this the answer is C

Answer:

Step-by-step explanation:

A 2 lb bag of sunflower seeds cost $1.29. Find the unit price. If needed
round the unit price to the nearest cent.

Answers

Answer:

0.65

Step-by-step explanation:

1.29/2=0.645

0.645 rounded is 0.65

0.65 is the unit rate and the cost per bag of sunflower seeds.

Hope this helps! :)

An isosceles triangle includes two 72°
angles. Which equation could be used to
find the measure of the third angle?
A X + 72 = 180
B X = 180 - 72
C 72-X= 180
D 180 - 2(72) = X

Answers

I don't understand the options but I will explain it to u!

Step-by-step explanation:

An Isosceles triangle has two equal sides that means , In this question it is given that there are two 72°angles so,

72+72+x =180

(Transpose)

x = 180-(72+72)

x = 180-(144)

Therefore, x= 36

In an isosceles triangle, two sides are equal and their opposite angles are also equal. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

An isosceles triangle includes two 72° angles.

In an isosceles triangle, two sides are equal and their opposite angles are also equal.

And the sum of the angles of the triangle is 180°.

Let the third angle be x. Then we have

72° + 72° + x = 180°

180° - 2(72°) = x

Thus, the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

subtract (2y + 3x-x²) from (5x²-y2-2x)

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

= 6x² - 5x - y² - 2y

5/x=-9

find the variable

Answers

5/x = -9

5 = -9x (we have multiplied x out from the denominator)

5/-9 = x (divided by -9 to isolate x)

Answer:

x = -5/9

Step-by-step explanation:

5/x = -9

multiply by x on both sides

5 = -9/x

multiply by 1/-9 on both sides

-1/9*5 = -1/9 *-9/x

-5/9 = x

Find the slope!! Please

Answers

Answer:

The slope is -(1/3)

Step-by-step explanation:

For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).

This observation yields the following equation for your line:

f(x) = y = -(1/3)x + 1

Therefore, the slope is -(1/3).

I am going to repeat myself ONE LAST TIME. Please help!

What is the domain of the function y = StartRoot x EndRoot?

Answers

It’s C!

Hope this helps :)

What is the solution to 5x-2<13

Answers

Answer:

x<3

Step-by-step explanation:

Step 1: Add 2 to both sides.

5x−2+2<13+2

5x<15

Step 2: Divide both sides by 5.

5x/5 < 15/5

x<3

Solve the equation, and choose the type of solution you
found.
2x + 8 = 2(x + 4)

Answers

Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.

Answers

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

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