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SpyIntel [72]
2 years ago
10

The law of cosines is a² + b² - 2abcosC = c². Find the value of 2abcosC.

Mathematics
1 answer:
galina1969 [7]2 years ago
8 0

Answer:

C

Step-by-step explanation:

a = 4

b = 5

c = 2

C = arccos((a² + b² - c²) / 2ab)

C = arccos((16 + 25 - 4) / 2(4)(5))

C = arccos(37 / 40)

C = 22.33°

2abcosC

2(4)(5)cos(22.33)

40(0.925)

37

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simplify exponent:

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two negatives make positive so,

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<h3>further simplification if needed:</h3>

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simplify addition:

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and we are done!

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