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3 years ago

Please Help, Will give Brainliest! Law Of Cosines.

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer:

B) a = 6.7, B = 36°, C = 49°

Step-by-step explanation:

Fill in the numbers in the Law of Cosines formula to find the value of "a".

a² = b² + c² -2bc·cos(A)

a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862

a ≈ √44.4862 ≈ 6.66980

Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...

sin(C)/c = sin(A)/a

sin(C) = (c/a)sin(A)

C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°

The third angle is ...

B = 180° -A -C = 180° -95° -48.31° = 36.69°

The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.

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2 years ago

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2 years ago

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miv72 [106K]

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2 years ago

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allochka39001 [22]

Answer:

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Step-by-step explanation:

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2 years ago