3 years ago

What are both of the ranges

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

0.8 < x < 16.8

Step-by-step explanation:

The third side of the triangle is always less than the other two sides combined. I think of it like if it was greater than the other two sides added, there would be no triangle- it'd be a line.

The other rule is that it has to be greater than the difference between the two lines.

I hope this helped!

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16. Solve for the angle x.<br> cos(¹/2x) = ¹/2

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Answer:

We know that ,

$\rightarrow \tt \cos( \frac{\pi}{3} ) = \frac{1}{2}$

So ,

$\: \rightarrow \tt \cos( \frac{1}{2}x ) = \cos( \frac{\pi}{3} ) \\ \\ \rightarrow \tt \frac{1}{2}.x = \frac{\pi}{3} \\ \\ \rightarrow \tt x = \frac{2\pi}{3}$

we can add 2 pi to it since there will be no change in the value

Also,

$\: \rightarrow \tt \cos( \frac{14\pi}{6} ) = \frac{1}{2} \\ \\ \\ \rightarrow \tt \frac{1}{2} x = \frac{14\pi}{6} \\ \\ \rightarrow \tt x = \frac{7\pi}{3}$