Answer:
![x = 0.175\cdot (1-\cos 4\cdot \theta)](https://tex.z-dn.net/?f=x%20%3D%200.175%5Ccdot%20%281-%5Ccos%204%5Ccdot%20%5Ctheta%29)
Step-by-step explanation:
Let use the following trigonometric identities:
![\sin^{2}\theta = \frac{1-\cos 2\cdot \theta}{2} \\\cos^{2}\theta = \frac{1+\cos 2\cdot \theta}{2}](https://tex.z-dn.net/?f=%5Csin%5E%7B2%7D%5Ctheta%20%3D%20%5Cfrac%7B1-%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D%20%5C%5C%5Ccos%5E%7B2%7D%5Ctheta%20%3D%20%5Cfrac%7B1%2B%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D)
Then, the equation is simplified by substituting its components:
![x = 1.40\cdot \left(\frac{1-\cos 2\cdot \theta}{2} \right)\cdot \left(\frac{1+\cos 2\cdot \theta}{2} \right)](https://tex.z-dn.net/?f=x%20%3D%201.40%5Ccdot%20%5Cleft%28%5Cfrac%7B1-%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D%20%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%2B%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D%20%5Cright%29)
![x = 0.35\cdot (1-\cos^{2}2\cdot \theta)](https://tex.z-dn.net/?f=x%20%3D%200.35%5Ccdot%20%281-%5Ccos%5E%7B2%7D2%5Ccdot%20%5Ctheta%29)
![x = 0.35\cdot \sin^{2}2\cdot \theta](https://tex.z-dn.net/?f=x%20%3D%200.35%5Ccdot%20%5Csin%5E%7B2%7D2%5Ccdot%20%5Ctheta)
![x = 0.35\cdot \left(\frac{1-\cos 4\cdot \theta}{2} \right)](https://tex.z-dn.net/?f=x%20%3D%200.35%5Ccdot%20%5Cleft%28%5Cfrac%7B1-%5Ccos%204%5Ccdot%20%5Ctheta%7D%7B2%7D%20%20%5Cright%29)
![x = 0.175\cdot (1-\cos 4\cdot \theta)](https://tex.z-dn.net/?f=x%20%3D%200.175%5Ccdot%20%281-%5Ccos%204%5Ccdot%20%5Ctheta%29)
B if you need an explanation just comment
Answer:
B
Step-by-step explanation:
31-23=8
41-31=10
53-41=12
So next number should be 53+14, that is 67.
Follow the rule:
67+16=83
83+18=101
Answer: 28 computers
Step-by-step explanation: First you would do 4 times 6, then add that to 4. 4 times 6 = 24+4=28