Answer:
correct answer to the question is option B
Step-by-step explanation:
as 3 raise to the power 4 equal to 3 raise to power 3 and 3 get cancel and the answer is
Answer:
its answer is a . 28 th term
Step-by-step explanation:
Given
an = 2 + 7(n- 1)
Now
a28 = 2 + 7( 28 -1)
= 2 + 7 * 27
= 2 + 189
= 191
Hope it helps:)
2 1/4 mph because when you divide .75 by .33333333,you get 2.5
0.75 Miles/Minutes
Rate 5 stars please if you found this helpful!
Answer:
![\cos(\theta_1) = \frac{\sqrt{111}}{20}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta_1%29%20%3D%20%5Cfrac%7B%5Csqrt%7B111%7D%7D%7B20%7D)
Step-by-step explanation:
Given
![\sin(\theta_1) = \frac{17}{20}](https://tex.z-dn.net/?f=%5Csin%28%5Ctheta_1%29%20%3D%20%5Cfrac%7B17%7D%7B20%7D)
![Quadrant = 1](https://tex.z-dn.net/?f=Quadrant%20%3D%201)
Required
![\cos(\theta_1)](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta_1%29)
We know that:
![\sin^2(\theta_1) + \cos^2(\theta_1) = 1](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta_1%29%20%2B%20%5Ccos%5E2%28%5Ctheta_1%29%20%3D%201)
This implies that:
![(\frac{17}{20})^2 + \cos^2(\theta_1) = 1](https://tex.z-dn.net/?f=%28%5Cfrac%7B17%7D%7B20%7D%29%5E2%20%2B%20%5Ccos%5E2%28%5Ctheta_1%29%20%3D%201)
Collect like terms
![\cos^2(\theta_1) = 1 -(\frac{17}{20})^2](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta_1%29%20%3D%201%20-%28%5Cfrac%7B17%7D%7B20%7D%29%5E2)
![\cos^2(\theta_1) = 1 -\frac{289}{400}](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta_1%29%20%3D%201%20-%5Cfrac%7B289%7D%7B400%7D)
Take LCM and solve
![\cos^2(\theta_1) = \frac{400 -289}{400}](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta_1%29%20%3D%20%5Cfrac%7B400%20-289%7D%7B400%7D)
![\cos^2(\theta_1) = \frac{111}{400}](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta_1%29%20%3D%20%5Cfrac%7B111%7D%7B400%7D)
Take square roots
![\cos(\theta_1) = \frac{\sqrt{111}}{\sqrt{400}}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta_1%29%20%3D%20%5Cfrac%7B%5Csqrt%7B111%7D%7D%7B%5Csqrt%7B400%7D%7D)
![\cos(\theta_1) = \frac{\sqrt{111}}{20}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta_1%29%20%3D%20%5Cfrac%7B%5Csqrt%7B111%7D%7D%7B20%7D)