Here is your answer. 0.117658
Answer:
c
Step-by-step explanation:
the perimeter of the sector
So for this, we will be simplifying √180 and √125 using the product rule of radicals (√ab = √a * √b)
Starting with √180: ![\sqrt{180}=\sqrt{10} *\sqrt{18} =\sqrt{5} *\sqrt{2}*\sqrt{9} *\sqrt{2}=3*2*\sqrt{5} =6\sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B180%7D%3D%5Csqrt%7B10%7D%20%2A%5Csqrt%7B18%7D%20%3D%5Csqrt%7B5%7D%20%2A%5Csqrt%7B2%7D%2A%5Csqrt%7B9%7D%20%2A%5Csqrt%7B2%7D%3D3%2A2%2A%5Csqrt%7B5%7D%20%3D6%5Csqrt%7B5%7D%20)
Now with √125: ![\sqrt{125}=\sqrt{25}*\sqrt{5} =5\sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B125%7D%3D%5Csqrt%7B25%7D%2A%5Csqrt%7B5%7D%20%3D5%5Csqrt%7B5%7D%20)
Now that we have our simplified radicals, our equation looks like this: 6√5 - 5√5 + √5 . Combine everything, and your answer will be 2√5.
5*3 + 5*4
The 5 must multiply through the parenthesis.