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klio [65]
3 years ago
7

PLS help. 30 points and brainliest

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Since we are given three sides and we want to find an angle, we can use the law of cosines.

The law of cosines is given by:

b^2=a^2+c^2-2ac\cos(B)

In this case, a = 3, b = 5, and c = 7. Therefore:

(5)^2=(3)^2+(7)^2-2(3)(7)\cos(B)

Evaluate:

25=58-42\cos(B)

Therefore:

-42\cos(B)=-33

Dividing both sides:

\displaystyle \cos(B)=\frac{33}{42}

And by taking the inverse cosine of both sides:

\displaystyle \angle B=\cos^{-1}\Big(\frac{33}{42}\Big)=38.2132...\approx 38^\circ

Our answer is C.

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