Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer:Angle A is equal to 113
Step-by-step explanation:
If two angles are vertical, that would make them equal to each other.
7x-20=6x-1
Add on to both sides
7x-19=6x
Subtract Seven from both sides
-19=-x
Divide by negative one to get rid of the negative
19=x
Then plug x into the equation 7(19)-20
Answer:
This equation can not be simplified any more.
Step-by-step explanation:
If you get any other answer, you are factoring.
Factor
18 out of 36
+
18
x
.
18
(
2
+
x
)
342-72=270
270-72=198
198/2=99
Therefore the width is 99