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Alenkinab [10]
3 years ago
14

Find the quotient of the complex numbers. Leave answer in polar form.

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
\dfrac{z_1}{z_2}=\dfrac{\sqrt3}{\sqrt6}\left(\cos\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)+i\sin\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)\right)
\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac{2\pi}4\right)+i\sin\left(-\dfrac{2\pi}4\right)\right)
\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac\pi2\right)+i\sin\left(-\dfrac\pi2\right)\right)
\dfrac{z_1}{z_2}=\sqrt2\left(\cos\dfrac{3\pi}2+i\sin\dfrac{3\pi}2\right)
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2 years ago
Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

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