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marusya05 [52]
3 years ago
13

Find m PLEASE HELP 10 POINTS!!

Mathematics
2 answers:
artcher [175]3 years ago
8 0
Use the cos rule

cos^-1(18^2+28^2-12^2 divided by 2*18*28

Which is 16.99 degrees, which is 17 (option d)
Iteru [2.4K]3 years ago
6 0

Answer:

<em>(D). 17 in.</em>

Step-by-step explanation:

c² = a² + b² - 2abcosC

cosC = \frac{a^2 + b^2 -c^2}{2ab}

m∠C = cos^{-1} ( \frac{a^2 + b^2 -c^2}{2ab} )

m∠C = cos^{-1} ( \frac{28^2 +18^2 -12^2 }{2(28)(18)} )

<em>m∠C </em>= cos^{-1} ( \frac{964}{1008} ) ≈<em> 17 in.</em>

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