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creativ13 [48]
3 years ago
15

Find the product of the complex numbers. Express your answer in trigonometric form.

Mathematics
1 answer:
Marianna [84]3 years ago
6 0
In order to find the product of two complex numbers their magnitudes are multiplied and their arguments(measure of angles) are added up.

For z₁
Magnitude = 4
Argument = π/3

For z₂
Magnitude = 3
Argument = 2π/5

So, the product of z₁ and  z₂ will be:

z_{1} z_{2} =4*3(cos( \frac{ \pi }{3}+\frac{2 \pi }{5})+isin( \frac{ \pi }{3}+\frac{2 \pi }{5})) \\  \\ 
z_{1} z_{2} =12(cos( \frac{11 \pi }{5}+isin( \frac{11 \pi }{5}))
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What is 15% of 100? Write an expression for the sequence of operations described below.
PIT_PIT [208]

Answer: 15 ; (g^5) - h

Step-by-step explanation:

  1. To find 15% of 100, multiply 100 and 15/100. The 100's get crossed out and the answer is 15.
  2. The expression is (g^5) - h.
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3 years ago
If Victoria earns $216.30 for working $6 hours in a day, how much does she earn per hour?
geniusboy [140]

Answer:

$36.05

Step-by-step explanation:

Do 216.30 then divide that by 6. With that you get 36.05; the amount she makes per hour.

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3 years ago
Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20
Allushta [10]

Answer:

P = 2x+2y   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

P-2y = 2x

\frac{P-2y}{2} =x

And replacing we got:

x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

P = 2x+2y   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

P-2y = 2x

\frac{P-2y}{2} =x

And replacing we got:

x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in

And the width for this case would be 15.8 in

4 0
3 years ago
At a larger pizza party, there are 18 people. Each person wants 3 slices, and each pizza has 8 slices. How many pizzas should th
-Dominant- [34]

Answer:

7 pizzas

Step-by-step explanation:

18 people × 3 slices each = 54 slices

54 ÷ 8 = 6.75

7 pizzas

4 0
2 years ago
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dalvyx [7]
I think it should be an= 49x3^(n-1)
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3 years ago
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