3 years ago

Simplify the expressions below. A. 8-13-(-4) B. 4-(-7)+(-2) C.-7+3-20

Mathematics

1 answer:

babunello [35]3 years ago

8 0

Answer:

a -9

b 9

c -24

Step-by-step explanation:

this are the answers

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3 years ago

What is the measurement of PQ?

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<em>The measure of PQ is 12.72</em>

<h2>Explanation:</h2>

We have the right triangle ΔPQR and we want to know the measure of PQ. PQ is opposite to ∠R, so from trigonometry we know that:

$sin(\alpha)=\frac{Opposite \ side}{Hypotenuse} \\ \\ \\ Here: \\ \\ \alpha=m\angle R=58^{\circ} \\ \\ Opposite \ side=\overline{PQ} \\ \\ Hypotenuse=\overline{RQ}=15 \\ \\ \\ So: \\ \\ sin(58^{\circ})=\frac{\overline{PQ}}{15} \\ \\ \\ Isolating \ \overline{PQ}: \\ \\ \overline{PQ}=15sin(58^{\circ}) \\ \\ \overline{PQ}=15(0.848)\\ \\ \boxed{\overline{PQ}=12.72}$