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Mila [183]
3 years ago
9

The width of a deck is 5 feet shorter than its length. The equation that represents this situation is y = x – 5. What does x rep

resent?
Mathematics
1 answer:
ollegr [7]3 years ago
8 0

X represents the length of a deck. There are three parts to this equations. The 1. width, 2. the length, and 3. the 5 feet shorter. Using the key words, y = the width of a deck (uses the term is which means =) So that takes the width part out of the equation. Then, 5 feet shorter means -5 than a number. That takes away the 5 feet shorter part of the equation. That leaves x to equal the length of the deck.

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Answer:

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Observe attached picture.

On picture we have:
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When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
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you may have to calculate the slope (m) from the formula

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