Multiple each number I think
Pythagorean Theorem: a^2+b^2=c^2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =
![\sqrt{448}](https://tex.z-dn.net/?f=%20%5Csqrt%7B448%7D%20)
b = 21.2
Answer:
![\huge\boxed{ 12\ people}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%2012%5C%20people%7D)
Step-by-step explanation:
At least 6 hours means that the people took at least 6 hours and at most any number that is greater than 6. Here the greatest no. is 10.
<em><u>So, the range for this will be 6-10</u></em>
No. of People who sleep for 6-8 hours = 9
No. of People who sleep for 8-10 hours = 3
No. of People who sleep for 6-10 hours = 9+3
=> 12 people
<u>Answers with step-by-step explanation:</u>
1. Area of sector 1 = ![\frac{90}{360} \times \pi \times 12^2 = 36\pi](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2012%5E2%20%3D%2036%5Cpi)
2. Area of sector 2 = ![\frac{45}{360} \times \pi \times 19^2 = \frac{2527}{8} \pi](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2019%5E2%20%3D%20%5Cfrac%7B2527%7D%7B8%7D%20%5Cpi)
3. Area of sector 3 = ![\frac{270}{360} \times \pi \times 15^2 = \frac{675}{4} \pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2015%5E2%20%3D%20%5Cfrac%7B675%7D%7B4%7D%20%5Cpi)
4. Area of sector 4 = ![\frac{270}{360} \times \pi \times 6^2 = 27 \pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%206%5E2%20%3D%2027%20%5Cpi)
5. Arc length of sector 1 = ![\frac{90}{360} \times 2 \times \pi \times 12 = 6\pi](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%2012%20%3D%206%5Cpi)
6. Arc length of sector 2 = ![\frac{315}{360} \times 2 \times \pi \times 19 = \frac{133}{4} \pi](https://tex.z-dn.net/?f=%5Cfrac%7B315%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%2019%20%3D%20%5Cfrac%7B133%7D%7B4%7D%20%5Cpi%20)
7. Arc length of sector 3 = ![\frac{270}{360} \times 2 \times \pi \times 15 = \frac{45}{2}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%2015%20%3D%20%5Cfrac%7B45%7D%7B2%7D%5Cpi%20)
8. Arc length of sector 4 = ![\frac{270}{360} \times 2 \times \pi \times 6 = 9\pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%206%20%3D%209%5Cpi)