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givi [52]
3 years ago
6

In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 squ

are units. In Figure 2, the area of square D is 36 square units and the area of square E is 64 square units, and the area of square F is 100 square units. In Figure 3, the area of square G is 25 square units and the area of square H is 144 square units, and the area of square I is 169 square units. What can be concluded about the areas of the squares? A. The sum of the areas of the two smaller squares is less than the area of the larger square. B. The sum of the areas of the two smaller squares is greater than the area of the larger square. C. The sum of the areas of the two smaller squares is equal to the area of the larger square. D. The sum of the areas of the two smaller squares is equal to the area of the triangle.
Mathematics
2 answers:
weqwewe [10]3 years ago
7 0

Answer:

C. The sum of the areas of the two smaller squares is equal to the area of the larger square.

Step-by-step explanation:

9 + 16 = 25

36 + 64 = 100

25 + 144 = 169

The relations "less than" and "greater than" can be ruled out. These observations are consistent with selection C.

The triangle area is half the product of the square roots of the squares on the legs, so the areas of the triangles are (respectively) 6, 24, 30. These are not related to the sum of the smaller squares, so the last selection can also be ruled out.

gtnhenbr [62]3 years ago
7 0

Answer:

A. The sum of the areas of the two smaller squares is equal to the area of the larger square.

Step-by-step explanation:

In Figure 1, a, b, and c form the sides of PQR. They also form the sides of square A, square B, and square C respectively.

For a right triangle, the Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Applying the Pythagorean theorem to PQR, it can be seen that a2 + b2 = c2.

Similarly, the following statements will be true for XYZ and STU.

For XYZ, d2 + e2 = f2.

For STU, g2 + h2 = i2.  

By observation, along with the Pythagorean theorem, the sum of the areas of the two smaller squares is equal to the area of the larger square.

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If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14,
Elis [28]

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

8 0
3 years ago
The graph of function f is shown below. Find f(-4)
NNADVOKAT [17]

Answer:

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3 years ago
A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
How do you do this I need help
Liula [17]
The answer is 2 and 5/6                                                                                            
5 0
3 years ago
Read 2 more answers
Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If
Degger [83]

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

  • 1/45 of all the potatoes

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

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Together, in 1 minute they can peel:

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To peel all the potatoes they need:

  • 1 ÷ 1/18= 1 × 18= 18 minutes

So it will take them 18 minutes to peel all the potatoes

7 0
3 years ago
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