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3 years ago

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

Mathematics

1 answer:

lozanna [386]3 years ago

6 0

Answer:

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:

$\dfrac{MP}{8.7}=0.342$

$\dfrac{MP}{8.7}=\dfrac{342}{1,000}$ cross multiply

$1,000MP=2975.4$ divide both sides by 1,000

$MP=2.9754\to MP\approx2.98$

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