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Deffense [45]
1 year ago
14

Reviewrship10These figures are similar. The area ofone is given. Find the area of the other.Help ResourcesArea = 100 in.2ㅁ nSkip

8 in.10 in.[? ] in.2Enter
Mathematics
1 answer:
Katarina [22]1 year ago
6 0

SOLUTION:

Step 1:

Since the two figures are similar, it means that they have properties in common.

Step 2:

In the bigger figure, the side given is 10in and its area is 100 square inches meaning (10 in x 10 in).

Step 3:

In the smaller figure, the side given is 8in, and from step 1, we can see that the two figures are similar, so the area of the smaller figure will be (8 in x 8 in) = 64 square inches.

CONCLUSION:

The area of the smaller figure is 8in x 8in = 64 square inches

8inx8in=64in^2

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Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

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40=-16t^2+55t+4

-16t^2+55t+4-40=0

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The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

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in this problem we have

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a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

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x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

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