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DaniilM [7]
3 years ago
11

Find the value of y.

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

\Huge\boxed{B.18.610}

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

tan= \frac{opposite}{adjacent}

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...

tan28=\frac{y}{35}

now we solve for  y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35

\frac{y}{35} =y\\tan28*35=35tan28

now we let the calculator do the rest of the work

35tan(28)=18.60983011

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B

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Step-by-step explanation:

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<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

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