Answer:
AA
Step-by-step explanation:
Answer:
![(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2} = \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32}) = 0.99 + i0.09](https://tex.z-dn.net/?f=%28%5C%2C%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B16%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B%5Cpi%7D%7B16%7D%29%20%5C%2C%29%5E%7B1%2F2%7D%20%20%3D%20%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B32%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B%5Cpi%7D%7B32%7D%29%20%20%3D%200.99%20%2B%20i0.09)
Step-by-step explanation:
The complex number given is
![z = (\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2}](https://tex.z-dn.net/?f=z%20%3D%20%28%5C%2C%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B16%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B%5Cpi%7D%7B16%7D%29%20%5C%2C%29%5E%7B1%2F2%7D)
Now, remember that the DeMoivre's theorem states that
![( \cos(x) + i\sin(x) )^n = \cos(nx) + i\sin(nx)](https://tex.z-dn.net/?f=%28%20%5Ccos%28x%29%20%2B%20i%5Csin%28x%29%20%29%5En%20%20%3D%20%5Ccos%28nx%29%20%2B%20i%5Csin%28nx%29)
Then for this case we have that
![(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2} = \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32}) = 0.99 + i0.09](https://tex.z-dn.net/?f=%28%5C%2C%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B16%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B%5Cpi%7D%7B16%7D%29%20%5C%2C%29%5E%7B1%2F2%7D%20%20%3D%20%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B32%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B%5Cpi%7D%7B32%7D%29%20%20%3D%200.99%20%2B%20i0.09)
Answer:
Tisco
Step-by-step explanation:
T=1.65x4 is 6.6
A=1.36x5 is 6.8
6.8>6.6
sry if wrong
The slope is 4/3 the unit rate is 1