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
Misha Larkins [42]
3 years ago
10

For z = 2cis 60°, find z4 in rectangular form.

Mathematics
2 answers:
a_sh-v [17]3 years ago
5 0
By DeMoivre's theorem,

z=2\mathrm{cis}60^\circ\implies z^4=2^4\mathrm{cis}(4\times60)^\circ=16\mathrm{cis}\,240^\circ
z^4=16(\cos240^\circ+i\sin240^\circ)
z^4=16\left(-\dfrac12-i\dfrac{\sqrt3}2\right)
z^4=-8-i8\sqrt3
REY [17]3 years ago
5 0

Answer:

For plato users the answeris -8-8\sqrt{3i}

Step-by-step explanation:

You might be interested in
(2x+5)/3=-7 <br> show all work
Phantasy [73]
→(2X+5)=-21→2X=-26→X=-13
3 0
3 years ago
8. What are the advantages of switching a quadratic function from standard form into vertex form?
Airida [17]

Answer:

vertex form automatically gives you your vertex and your y intercept so all you need to do is graph. Hope this helps

Step-by-step explanation:

3 0
3 years ago
How would I solve for x on this question
gregori [183]

Answer:

use your distributive properties and combine the two equations and just use pemdas.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can some help please
Katyanochek1 [597]

Answer:

Step-by-step explanation:

2 * 10^7   You are to use a single digit. That's the 2 on the left. Then count what it takes to get the decimal between the 2 and the 3. It's 7

0.000136

Count the number of zeros. Add a minus 1. You want the number to be counted until you get minus 1 which is the number of powers after the 1.

1 * 10^-4

26837 becomes 2 * 10^4. 4 is the number of digits you have before you get to a number between 1 and 10.

0.0302 becomes 3 * 10^-(1 + 1) = 3 * 10^-2

4 0
3 years ago
What is the value of the interquartile range of the data below?
Scilla [17]

Answer:

12

Step-by-step explanation:

a box - and - whisker plot. The number line goes from 0 - 52.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Someone PLEASE help me find the answer
    5·1 answer
  • Helppp 8th grade algebra
    7·1 answer
  • Which of the following is equivalent to 14x2 + 35x when it is completely factored? 7x(2x + 5)
    15·2 answers
  • If you divide any number by itself, what is the result? How can you apply this result to the expression -1×60/-1×10?
    13·1 answer
  • What is the slope between the points (9 -1) and (-2 5)
    5·2 answers
  • A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
    14·2 answers
  • What is the value of −4(−0.3) divided by 1/2
    15·2 answers
  • What are the solutions to the quadratic equation 4(x + 2)2 = 36
    13·2 answers
  • GIVING BRAINLIEST
    11·1 answer
  • What is the difference between balance forces and unbalance forces?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!