Answer:
The calculator is $110
Step-by-step explanation:
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Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is
, so the polar form of that number is (18,
)
Two angles in the same parallelogram must either be equal or else add up to 180 degrees. These two are obviously not equal, so they must add up to 180.
A + B = 180
A = 180 - B (we'll use this in just a second)
A = 3B + 40
180 - B = 3B + 40
Add 'B' to each side:
180 = 4B + 40
Subtract 40 from each side:
140 = 4B
Divide each side by 4 :
<u>35 = B</u>
A = 180 - B = <u>145</u>
see the above answer! thanks for reading
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