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Juliette [100K]
4 years ago
9

Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh

at was the length of the trim when she started? Enter your answer in yards.
Mathematics
1 answer:
Sergio039 [100]4 years ago
5 0

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 3\times 21=63 inches.

Now we need to convert 63 inches into feet.  

12 inches = 1 feet

63 inches = \frac{63}{12}  feet = 5.25 feet.

We are also told that Maria has \frac{3}{4} foot of trim left, so total length of trim would be trim used plus trim left that is 5.25+\frac{3}{4}=5.25+0.75=6 feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = \frac{6}{3} yards = 2 yards

Therefore, the length of the trim was 2 yards.

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​

<u><em>28.1 feet</em></u>

<u><em></em></u>

<em><u>explaination</u></em>

<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>

<u><em>cosU= </em></u>

<u><em>hypotenuse</em></u>

<u><em>adjacent</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

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<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>\cos 70=\frac{9.6}{x}</em></u>

<u><em>cos70= </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>x\cos 70=9.6</em></u>

<u><em>xcos70=9.6</em></u>

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<u><em>cos70</em></u>

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<u><em>cos70</em></u>

<u><em>9.6</em></u>

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<u><em> </em></u>

<u><em>Divide each side by cos 70.</em></u>

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<u><em>x= </em></u>

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<u><em>​ </em></u>

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<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>

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