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Lady_Fox [76]
3 years ago
8

For the complex numbers z = 30 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction)

) and w = 6 (cosine (StartFraction pi Over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) ) , which geometric transformation of z on the complex plane describes the quotient StartFraction z Over w EndFraction ?
Scale z by a factor of One-sixth, then rotate clockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of 6, then rotate clockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of One-sixth, then rotate counterclockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of 6, then rotate counterclockwise by StartFraction pi Over 8 EndFraction radians.
Mathematics
2 answers:
dimulka [17.4K]3 years ago
5 0

Answer:

A. Scale z by a factor of 1/6, then rotate clockwise by pi/8 radians.

Step-by-step explanation:

EDGE 2020

scoundrel [369]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Leokris [45]

Answer:

So we have two given angles- 31* and 43*.

First we add those together.

31* + 43* = 74*

Then, we subtract that amount from 180*

180* - 74* = 106*

106* is the missing angle.

x106* - 31* = 75*

x106* + 43* = 149*

~Hope this helps~

6 0
3 years ago
A coat costs £56 in the sale after a 20% discount. What was the original price?
Arturiano [62]

Answer:

£70

Step-by-step explanation:

y×0.8=56

56/0.8= 70

70×0.8=56

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5 0
3 years ago
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Use multiplication and the distributive property to find the quotient 96/6
SashulF [63]
The answer to your problem will be 16
6 0
4 years ago
Jude has 30 coins of quarters and nickels. The total amount he has is $5.10. How many of each coin does Jude have? Write the sys
Lyrx [107]

Answer: Required system

x+y= 30

0.25x+0.05y=5.10

Jude has 18 quarters and 12 nickels.

Step-by-step explanation:

Let x= Number of quarters

y= Number of nickels

As per given,

x+y= 30   (i)

0.25x+0.05y=5.10  (ii)   [1 quarter = $0.25 , 1 nickel = $0.05]

Multiply 0.25 on both sides of equation (i)

0.25x+0.25y= 7.5   (iii)

Eliminate (ii) from (iii) , we get

0.20y=2.4

⇒ y = 12  [divide both sides by 0.20]

Put value of y in (i\), we get

x+12=30

⇒ x= 30-12= 18

Hence, Jude has 18 quarters and 12 nickels.

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