1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
14

The 12th roots of unity have arguments that are multiples of _____.

Mathematics
2 answers:
vodomira [7]3 years ago
6 0

Unity is any complex number which when raised to the power 'n' gives 1. Unity means angle around a point.

the angle is 360

for 12th root of unity, we divide the angle in 12 parts, so each part = 360/12= 30

so the arguments of 12th root of unity are multiples of 30 degrees.

kirill [66]3 years ago
5 0
360/12 = 30deg...so the arguments are multiples of 30deg.

You might be interested in
What does 4(2n+10)=2n+4n+10 equal?
Dmitry_Shevchenko [17]

Answer:

n= -15 i belive thats right

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Corey brought $54.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the
lord [1]

Answer: The items cost as follows;

(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28

Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.

The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;

x + y + z = 52.50

However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.

Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.

Note however that, if y = 3z/4, then by cross multiplication,

4y = 3z

4y/3 = z

Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation

x + y + z = 52.50

y/6 + y + 4y/3 = 52.5

using a common denominator which is 6, you now have;

(y + 6y + 8y)/6 = 52.5

By cross multiplication, you now have

15y = 52.5*6

15y = 315

Divide both sides of the equation by 15

y = 21

Therefore, if the sketchbook is y, then the sketchbook costs $21.

Also if the brush is x, then the brush costs

x = y/6

x = 21/6

x = 3.50 (The brush costs $3.50)

Also if the sketchbook costs 3/4 of the paint set, then

y = 3z/4

21 = 3z/4

21*4 = 3z

84 = 3z

Divide both sides of the equation by 3

28 = z (The paint set costs $28)

7 0
3 years ago
BE is a midsegment, Find the value of x. Please
Scrat [10]

Answer:

x10

Step-by-step explanation:

BE=1/2 * CD

x=CB/2

x=20/2

x=10

8 0
2 years ago
Nick's Printing Press promptly sold 5-cent pencils and 10-cent pens to the public. It sold 1000 writing utensils and took $74.50
galben [10]

Answer:

  • 490 pens
  • 510 pencils

Step-by-step explanation:

Let p represent the number of pens Nick sold. Then the revenue is ...

  0.10p +0.05(1000 -p) = 74.50

  0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50

  p = 490 . . . . . . . . . . . . multiply by 20

The number of pencils sold is then ...

  pencils = 1000 -490 = 510

Nick's Printing Press sold 490 pens and 510 pencils.

4 0
3 years ago
If PQ=7 and QR=10, then PR=
Cloud [144]

Answer:

PR=PQ+QR

=7+10

=17

Hope this will help:)

8 0
3 years ago
Read 2 more answers
Other questions:
  • How far is Mars from the sun actually formatted
    15·1 answer
  • Tyra is training for a bicycle race. Each week she rides a total distance greater than 10 kilometers and less than or equal to 3
    12·2 answers
  • Cut 9ft piece into 12inch & Every cut remove 1/8 inch
    8·1 answer
  • What is the answer to 16*40?
    11·2 answers
  • The answer are not in the right order first to answer i will name brainly
    12·2 answers
  • Which of these points lies on the line described by the equation
    7·1 answer
  • The Sugar Sweet Company is going to transport its sugar to market. It will cost $5250 to rent trucks, and it will cost an additi
    10·1 answer
  • f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de fun
    14·1 answer
  • 3, 4, 5, 7, 9, 10, 2, 8<br><br> Mean__<br> Median__<br> Mode__<br> Range__
    9·2 answers
  • Which of the following are possible side lengths for a triangle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!