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
Lostsunrise [7]
3 years ago
10

Please help.

Mathematics
1 answer:
kompoz [17]3 years ago
3 0
The answer is going to be C
You might be interested in
Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
slava [35]

Answer:

After solving the power:

\bold{2(cos60^\circ+isin60^\circ)}

Rectangular form:

\bold{1+i\sqrt3}

Step-by-step explanation:

Given the complex number:

2(cos20^\circ+isin20^\circ)^3

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as a+ib where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )

First of all, let us solve:

(cos20^\circ+isin20^\circ)^3

Let us apply the De Moivre's Theorem:

Here, n = 3

(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ

Now, the given complex number becomes:

2(cos60^\circ+isin60^\circ)

Let us put the values of cos60^\circ = \frac{1}{2} and sin60^\circ = \frac{\sqrt3}{2}

2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }

So, the rectangular form of the given complex number is:

\bold{1+i\sqrt3}

3 0
3 years ago
NEED URGENT HELP
AnnyKZ [126]

Answer:

32.5

Step-by-step explanation:

If CED is 65, then AEB is 65, therefore we can calculate that CEA is 115 because 180 - 65 = 115. Then we do 180 - 115 = 65 which is the sum of angles ACE and CAE so 65 / 2 = 32.5 which is CAE.

Hope this helped!

8 0
3 years ago
What side has the same length as BC?
Scorpion4ik [409]

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

3 0
3 years ago
Read 2 more answers
This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight.
antoniya [11.8K]

Answer:

8/3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the value of x. please explain your answer:)
nekit [7.7K]
First do 90-40 because together they make the right angle.

Then do 50=3x+2

48=3x

16=x
4 0
3 years ago
Other questions:
  • What is the MAD of this numbers?
    13·1 answer
  • What is the circumference of a circle with a diameter of 3.4 cm? Use 3.14 for pi.
    8·2 answers
  • If someone could figure out the top question that would be great, thank you so much!
    7·1 answer
  • WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY.
    11·1 answer
  • What is 1pi divided by 132?
    7·1 answer
  • ∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24 . What is the value of x? Enter your answer in the box. x =
    11·2 answers
  • How would I draw the reflection over the line y=2x+5?
    11·1 answer
  • You are making curtains for your little sister's dollhouse. There are 24 windows on the dollhouse and each
    8·2 answers
  • What is the y-value of the solution to this system of equations?<br> y=3x-13<br> y=2/5x-26/5
    12·1 answer
  • Divide the fractions and reduce to lowest terms: 2/5÷3/12​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!