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MrRa [10]
4 years ago
14

Calculate cos 0 to two decimal places

Mathematics
2 answers:
pashok25 [27]4 years ago
7 0

For this case we have by definition of the Cosines Law that:

7 ^ 2 = 10 ^ 2 + 8 ^ 2-2 (10) (8)* cosΘ

49 = 100 + 64-160cosΘ

49 = 164-160cosΘ

49-164 = -160cosΘ

-115 = -160cosΘ

115 = 160cosΘ

cosΘ= \frac {115} {160} = 0.71875

Rounding off we have, 0.72

ANswer:

Option C

Sergio [31]4 years ago
3 0

We can use the law of cosines as follows:

7^2 = 8^2+10^2-2\cdot 8 \cdot 10 \cdot \cos(\theta)

We can rewrite this equation as

49 = 164-160 \cdot \cos(\theta) \iff 160 \cdot \cos(\theta) = 115 \iff \cos(\theta)=\dfrac{115}{160}\approx 0.72

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