Answer:
z=2
Step-by-step explanation:
Just solve
1 + z = 3 (minus 1 on both sides)
z = 2
Plug in
3=(2+1)
3 = 3
A whole turn around the circumference is an angle of 2pi.
So, two turns are 4pi, and three turns are 6pi.
With every turn the trigonometric functions reset, because you keep visiting the same points along the circumference.
This is why we have
![\cos(x) = \cos(x+2k\pi)](https://tex.z-dn.net/?f=%5Ccos%28x%29%20%3D%20%5Ccos%28x%2B2k%5Cpi%29)
i.e. the value of a trigonometric function (in this case the cosine) doesn't change if you add another turn around the circumference.
In this case, we have
![\cos(7\pi)=\cos(\pi+6\pi)](https://tex.z-dn.net/?f=%5Ccos%287%5Cpi%29%3D%5Ccos%28%5Cpi%2B6%5Cpi%29)
i.e. an angle of 7pi means to make 3 turns around the circle, and then an additional angle of pi. Since the 3 turns are irrelevant, we finally have
![\cos(\pi+6\pi)=\cos(\pi)=-1](https://tex.z-dn.net/?f=%5Ccos%28%5Cpi%2B6%5Cpi%29%3D%5Ccos%28%5Cpi%29%3D-1)
Answer:
1, 2, 3, 4, 6, 8, 12, and 24. Factors of 24 include negative numbers.
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
You add the amount of pages that she has read in all which is 42+32=72. Then you subtract the sum by the amount fo pages in the book: 232-72 which equals 160
Answer: 60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)
also daM, that's a lot of calls
Step-by-step explanation: