Answer:
Solution : 
Step-by-step explanation:
![-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]](https://tex.z-dn.net/?f=-3%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%7D%7B4%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%7D%7B4%7D%5Cright%29%5Cright%5D%5C%3A%5Cdiv%20%5C%3A2%5Csqrt%7B2%7D%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,
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As you can see your solution is the last option.
Answer:
549.78
Step-by-step explanation:
V=πr2h=π·52·7≈549.77871
A: no solution!
first, simplify each side of the equation.
3x + 5 - 10x simplifies to -7x + 5.
8 - 7x - 12 simplifies to -7x - 4.
then, add +7x on both sides of the equation to get the variable alone. if you add 7x to each side, you get left with 0.
so, that leaves 5 = -4 which is not true. so, that means there is no solution.
Answer:
Angeline will spend $70.77
Step-by-step explanation:
y = 8.09(5) + 3.79(8)
y= 30.32 + 40.45
y = 70.77
Answer:
3.5 Oz of chocolate
Step-by-step explanation:
1.6 lb of cookie dough is made from chocolate of 8 Oz
1 lb will be made by 8/ 1.6 = 0.5 Oz of chocolate
Therefore
7lb of cookie dough will be made from 7 * 0.5= 3.5 Oz of chocolate/
