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DiKsa [7]
3 years ago
15

What is the average distance from the sun (in AU's) of an astroid with an orbital period of 8 years?

Mathematics
1 answer:
masya89 [10]3 years ago
5 0
The answer is 2 or 4 .
Hope this helps ❤️
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Please help me!!!!! How do you get 67.3 and 112.7 from .9228
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Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: \frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}.

Here, when we use the Law of Sines, we have: \frac{28}{sin(63)}=\frac{29}{sinB}.

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

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Now, in order to solve for B, we need to use inverse sin (sin^{-1}):

sin^{-1}(sinB)=sin^{-1}(0.9228)

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

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