Answer:
they deleted my account
Step-by-step explanation:
Image of question is not attached
Total number of students = 35
Number of male students = 14
% of students that are male =
![\frac{14}{35} * 100 = \frac{14}{7} * 20 = 2 * 20](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%7D%7B35%7D%20%2A%20100%20%3D%20%20%5Cfrac%7B14%7D%7B7%7D%20%2A%2020%20%3D%202%20%2A%2020%20)
= 40 %
First of all, let's calculate the the circumference. This is found by this equation:
![P=2\pi r \\ \\ Since \ r=6 \\ \\ P=2\pi \times 6 \\ \\ \therefore P=12\pi](https://tex.z-dn.net/?f=P%3D2%5Cpi%20r%20%5C%5C%20%5C%5C%20Since%20%5C%20r%3D6%20%5C%5C%20%5C%5C%20P%3D2%5Cpi%20%5Ctimes%206%20%5C%5C%20%5C%5C%20%5Ctherefore%20P%3D12%5Cpi)
The distance of completing 5 full rotations is:
![D_{5}=5P \\ \\ \therefore D_{5}=5(12\pi) \\ \\ \therefore D_{5}=60\pi \ radians](https://tex.z-dn.net/?f=D_%7B5%7D%3D5P%20%5C%5C%20%5C%5C%20%5Ctherefore%20D_%7B5%7D%3D5%2812%5Cpi%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20D_%7B5%7D%3D60%5Cpi%20%5C%20radians)
In one second the particle traveled:
![\frac{\pi}{8} \ radians](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B8%7D%20%5C%20radians)
Since the particle traveled for 2 more seconds and stopped, this distance is:
![2\left(\frac{\pi}{8}\right) \\ \\ \frac{\pi}{4} \ radians](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B%5Cpi%7D%7B8%7D%5Cright%29%20%5C%5C%20%5C%5C%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5C%20radians)
Finally, the length of the total distance the particle traveled is:
![D=60\pi+\frac{\pi}{4} \\ \\ \therefore \boxed{D=\frac{241}{4}\pi}](https://tex.z-dn.net/?f=D%3D60%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20%5Cboxed%7BD%3D%5Cfrac%7B241%7D%7B4%7D%5Cpi%7D)
You multiply 1410 by 0.06 which equals 84.6, and then add 1410 + 40 + 154.30 and that equals 1688.90