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
DUPLICATE. WITH ATTACHMENTS
Inessa05 [86]
7.) Area of a square pyramid is given by A = s^2 + 2sl; where s is the side length of the base and l is the slant height.
Area of given pyramid = 4^2 + (2 x 4 x 7) = 16 + 56 = 72 ft^2

8.) Area of the given pyramid is the area of the hexagonal base plus the area of the six slant triangles.
Area of hexagonal base = (3sqrt(3))/2 x 10^2 = 150 x 1.732 = 259.8
Area of the 6 traingles = 6(1/2 x 10 x 13) = 6 x 65 = 390
Total surface area of the pyramid = 259.8 + 390 = 649.8 ≈ 650 m^2

9.) Using pythagoras rule, the slant height is sqrt(6^2 + 3.5^2) = sqrt(36 + 12.25) = sqrt(48.25) = 6.9 mm

10.) The surface area of a cone is given by πr^2 + πrl
Area = π x 6^2 + π x 6 x 20 = 36π + 120π = 490.1 cm^2

11.) l = sqrt(r^2 + h^2) = sqrt(11^2 + 16^2) = sqrt(121 + 256) = sqrt(377) = 19m
6 0
3 years ago
How to solve it because i have no idea
Angelina_Jolie [31]
First you chang top fractions into decimal add and divide that by 4 which is equal to 0.375 hope it helps.

5 0
3 years ago
6(x+7)x=9<br><br> A.12<br> B.42<br> C.96<br> D.16<br><br> Please work out the problem.
marin [14]
X = -\frac{7}{2} + \frac{1}{2}  \sqrt{55} or x = -\frac{7}{2} + -\frac{1}{2} \sqrt{55}
4 0
3 years ago
Y is inversely proportional to (x+2)² when x=1, y=2
REY [17]

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

-----------------------

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

6 0
3 years ago
On the school football team, 2/12 of the students are first graders. In simplest form, what fraction of the students on the scho
almond37 [142]
I/6 you would just divide it
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is unit form and standard form
    10·2 answers
  • Consider the equation 5 + x = n. What must be true about any value of x if n is a negative number?
    12·1 answer
  • There are 30 students in a class. The teacher will choose 2 students at random to represent the class at an assembly. How many g
    15·1 answer
  • There are six buses transporting students to a baseball game with 32 students on each bus each row at the baseball stadium Seat
    7·2 answers
  • Which polynomial is in standard form?
    6·1 answer
  • 6n + 8 and 2(3n + 4)<br> Are the two expressions equivalent
    9·2 answers
  • PLEASE ANSWER ILL TRY AND MARK BRAINKIEST IF YOH GIVE ME CORRECT ANDWER
    12·2 answers
  • (01.02 HC)
    12·1 answer
  • 2. What is the tangent ratio of angle &amp; within a right triangle?
    9·2 answers
  • +
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!