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torisob [31]
3 years ago
6

Can you help me find all the seventh roots of unity? what do they look like graphed?

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

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June had $240 more than Siti. Junr gave 25% of her money to Siti. Siti then gave 20% of her money to June. How much more money d
bulgar [2K]

Answer:

$144

Step-by-step explanation:

Let the money which Siti has be x

Therefore, the money June has will be x+240

First condition is that June gave 25% of her money to Siti, So this amount will be deducted from June's money and will be added in Siti's money.

Siti's money = x+ [25%(x+240)]       June's money = x+240-[25%(x+240)]

                   = 1.25x + 60                                       = 0.75x + 180

Second condition is that Siti now gave 20% of her money to June.This amount will be deducted form Siti's money and added in June's money.

Siti's money = 1.25x+60-[20%(1.25x+60)]    

                    = x+48

June's money = 0.75x +180+[20%(1.25x+60)]

                        = x+192

Difference between Sitit and June's money = x+192-x-48

                                                                        = 144

Hence, June has $144 more money than Siti.

4 0
3 years ago
Use the expression 3n plus 5P +2+n
Lera25 [3.4K]

Answer:


Step-by-step explanation:

3n + 5p + 2 + n


Add up all the 'n's : 4n + 5p + 2


That's all you can do with it

4 0
3 years ago
Which graph correctly represents 5/2x-y< 3
kompoz [17]
5/2x - y < 3
Add y
5/2x < 3 + y
Subtract 3
5/2x - 3 < y
y > 5/2x - 3
Graph "5/2x - 3" and shade the area that is above it
5 0
3 years ago
A rectangular field has an area of 162 m² the width of this field is 9m what is the perimeter of this field
Andru [333]

Answer:

54 m

Step-by-step explanation:

Alrighty, what have we here: an area of 162 m² and a width of 9m.

So: A=162m², W=9m, let's draw this: (see the screenshot attached)

Using the formula for area (Area = width x length) we see that:

162m^{2} =9m*L

Thus: (equating to L by dividing both sides by 9m)

⇒ \frac{162m^{2} }{9m}=18m=L

Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:

perimeter=2W+2L=2*9m+2*18m=18m+36m=54m

And there we have our answer.

3 0
3 years ago
Sofia measures the length of her car as 16 feet. What is the greatest possible error? ______ feet What is the margin of error? _
Genrish500 [490]

Answer:

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?  

<h2> ⇒ 0.5 feet </h2>

What is the margin of error?  

<h2> ⇒ 15.5  TO  ⇒ 16.5 feet</h2>

Step-by-step explanation:


3 0
3 years ago
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