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NISA [10]
3 years ago
15

Find the length of MP. round to the nearest hundredth.

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

<h2>MP ≈ 2.98 cm</h2>

Step-by-step explanation:

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have:

opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342

Substitute:

\dfrac{MP}{8.7}=0.342

\dfrac{MP}{8.7}=\dfrac{342}{1,000}              <em>cross multiply</em>

1,000MP=2975.4             <em>divide both sides by 1,000</em>

MP=2.9754\to MP\approx2.98

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