Answer:
the answer is 2x-22
Step-by-step explanation:
Answer: we can’t see the dialogue
Step-by-step explanation:
Length of the given arc can be given as,
![\begin{gathered} l=r\theta \\ l=8\times150\times\frac{\pi}{180} \\ l=\frac{8\times15\times\pi}{18} \\ l=20.94 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20l%3Dr%5Ctheta%20%5C%5C%20l%3D8%5Ctimes150%5Ctimes%5Cfrac%7B%5Cpi%7D%7B180%7D%20%5C%5C%20l%3D%5Cfrac%7B8%5Ctimes15%5Ctimes%5Cpi%7D%7B18%7D%20%5C%5C%20l%3D20.94%20%5Cend%7Bgathered%7D)
Hence, option D is correct.
So with this, you'll be using a proportion to solve it. And here's what your equation will look like:
![\frac{30}{x} =\frac{x}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7Bx%7D%20%3D%5Cfrac%7Bx%7D%7B24%7D%20%20)
Firstly, you'll need to cross-multiply. Your equation will look like this: ![720=x^2](https://tex.z-dn.net/?f=%20720%3Dx%5E2%20)
For this, all you need to do is square root, and your answer is
, however this answer can be simplified further.
![\sqrt{720} =\sqrt{30*24} =\sqrt{5*6*6*4}=\sqrt{5*3*2*3*2*2*2} =4*3\sqrt{5} =12\sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B720%7D%20%3D%5Csqrt%7B30%2A24%7D%20%3D%5Csqrt%7B5%2A6%2A6%2A4%7D%3D%5Csqrt%7B5%2A3%2A2%2A3%2A2%2A2%2A2%7D%20%3D4%2A3%5Csqrt%7B5%7D%20%3D12%5Csqrt%7B5%7D%20%20)
In short, your answer is ![12\sqrt{5}](https://tex.z-dn.net/?f=%2012%5Csqrt%7B5%7D%20%20)