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3 years ago

13

A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladd

er reach?

1 answer:

GenaCL600 [577]3 years ago

8 0

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

$a^2 + b^2 = c^2$

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

$a^2 + 7^2 = 25^2$

------------------------

Solve.

$a^2 + 49 = 625$

$a^2 -49 = 625 - 49$

$a^2 = 576$

$\sqrt{a^2} = \sqrt{576}$

$a = 24$

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7. Are the ordered pairs below an arithmetic sequence or geometric

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Answer:

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Step-by-step explanation:

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$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

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Solving (8):

$f(n) = f(1) + f(n-1)$

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

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We need to solve for f(7); substitute 7 for n

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$f(5) = f(1) + f(5 - 1)$

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

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$f(6) = 55 + 80$

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$f(7) = 55 + 135$

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