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Mnenie [13.5K]
1 year ago
6

Mr. Haley is leaning a ladder against the side of his house to repair the roof.

Mathematics
1 answer:
natima [27]1 year ago
5 0

Answer:

15 ft

Explanation:

We can represent the situation with the following figure

Therefore, the length of the ladder is the hypotenuse of the right triangle formed, where the legs are 12 ft and 9 ft. Using the Pythagorean theorem, we can calculate the length of the ladder as

\begin{gathered} Ladder=\sqrt{12^2+9^2} \\ Ladder=\sqrt{144+81} \\ Ladder=\sqrt{225} \\ Ladder=15 \end{gathered}

Therefore, the length of the ladder is 15 ft

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Answer:

Step-by-step explanation:

I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.

..

let quarters be x

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...

dimes + quarters = x+x+2=2x+2

...

nickels = 30-(2x+2)

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5(30-(2x+2))+10(x+2)+25x=460

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x+2= 12+2=14 dimes

30-(2x+2)=4 nickels

...

check

4*5+14*10+12*25=20+140+300=460

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