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.
h = 6
Work Shown:
4h + 6 = 30
1. 4h + 6 -6 = 30 - 6 ---> 4h = 24
2. 4h /4= 24/4 ---> 6
h = 6
Answer:
Initial value
Step-by-step explanation:
Initial value never changes, whatsoever.
Slope is either a constant increase or decrease.
Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.
Answer:
The answer to this question should be 28.3
Answer:
79.2 units
Step-by-step explanation:
Tangents to a circle from an external point are congruent , then
PQ = 27.4
QR = 5.9 + 12.2 = 18.1
PR = 12.2 + (27.4 - 5.9 ) = 12.2 + 21.5 = 33.7
Then
perimeter = PQ + QR + PR = 27.4 + 18.1 + 33.7 = 79.2
