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sammy [17]
2 years ago
9

A flagpole stands perpendicular to the ground. It is supported by a 20-foot cable that runs from the top of the flagpole to the

ground at a point that is 12 feet from the base of the pole. Find the height of the flagpole. The Pythagorean theorem is a2 b2
Mathematics
1 answer:
3241004551 [841]2 years ago
7 0

Answer:

h  =  16 feet

Step-by-step explanation:

Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²)  plus  leg  (a²)

Then

c²  =  a²  +  b²

where according to the problem statement

(20)²  =  h²  +  (12)²           (  h is the height of the flagpole )

h²  =  400 -  144

h²  =  256

h  =  √ 256

h  =  16 feet

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See explanation

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Then x ounces of fruit will supply

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\left\{\begin{array}{l}x+y\ge 7\\ 2x+y\ge 11\\x+y\le 10\end{array}\right.

B. See attached diagram

\begin{array}{cccc}&\text{Protein}&\text{Carbohydrates}&\text{Fat}\\\text{Fruit}&x&2x&x\\\text{Nuts}&y&y&y\\&\text{at least 7}&\text{at least 11}&\text{no more than 10}\end{array}

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Answer: 17

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2 years ago
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