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4 years ago

Please answer correct answer now fast

Mathematics

1 answer:

RideAnS [48]4 years ago

3 0

Answer:

Approximately 13.9 units.

Step-by-step explanation:

First, note that ΔTVW is a right triangle.

Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.

Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:

$\sin(\theta)=opp/hyp$

Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:

$\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9$

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The collection includes 11 nickels, 7 dimes, and 5 quarters.

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I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
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3 years ago

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marissa [1.9K]

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3 years ago

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3 years ago

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3 years ago

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