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Law Incorporation [45]
3 years ago
8

What is half of 16 3/4

Mathematics
1 answer:
zzz [600]3 years ago
7 0
Half of 16 and 3/4th is 8.375.



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a ≈ 5.2, B ≈ 50°, C ≈ 95°

Solution:

Given data:

A = 35°, b = 7, c = 9

Using cosine law,

a^{2}=b^{2}+c^{2}-2 b c \cos A

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Taking square root on both sides.

a ≈ 5.2

Using sine law,

$\frac{\sin A}{a} =\frac{\sin B}{b}

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Multiply by 7 on both sides.

$\frac{0.5735}{5.2}\times 7 =\sin B

Switch the sides.

Sin B = 0.772

B=\sin^{-1}0.772

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Sum of all the angles of a triangle = 180°

A + B + C = 180°

35° + 50° + C = 180°

85° + C = 180°

C = 180° - 85°

C = 95°

Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.

4 0
3 years ago
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