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
Ivahew [28]
3 years ago
10

PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).

Mathematics
1 answer:
shutvik [7]3 years ago
6 0
◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 )  can be written as -

125.e^i( 288) 
125.e^i( 288 +360 ) 
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 ) 
5 e^( i 216 )  
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 ) 
5(c os 216 + i sin 216 ) 
5 ( cos 336 + i sin 336 ) Ans.
You might be interested in
what is the volume of the cone with radius 6 inches and height 10 inches express the answer in terms of pi
Vanyuwa [196]

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

6 0
3 years ago
Read 2 more answers
You prepare 10 scoops of dog food for 5 dogs, and prepare 16 scoops of dog food for 8 dogs. What
Svetllana [295]

Answer:

<em>12 scoops of dog food are needed for 6 dogs,</em>

Step-by-step explanation:

<u>Proportions</u>

The number of scoops of dog foods and the number of dogs are proportional variables.

We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.

We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.

Thus, the constant of proportionality is 2.

For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.

12 scoops of dog food are needed for 6 dogs,

3 0
3 years ago
Can someone please HELP! FOR BRAINLIEST!
RoseWind [281]

Answer:

1st pic:

step 2.

2nd pic:

Rene should add, not multiply 2 volumes.

The correct answer is 48+216 =264

3rd pic:

a, for blue prism: V = Area of base x Height = 48 x a =720

=> a = 720/48 = 15

b,  for orange prism: V = Area of base x Height = (12xb)/2 x 15 =720

=> b =(720x2)/(15x12)= 8

8 0
3 years ago
How wold you put 4/1 as a fraction?
valentinak56 [21]
4/1 is 4. It's the same as saying 4 divided by 1

7 0
3 years ago
Read 2 more answers
Pls the real answer
Alexxandr [17]

Answer:

79.25 in.

Step-by-step explanation:

multiply 11 and 7.25 to get the actual size

3 0
3 years ago
Other questions:
  • Rewrite the following in Function notation y=2x+6
    9·1 answer
  • Which is the best example of a number written in scientific notation?
    6·2 answers
  • What is the y coordinate of the point that divides the directed line segment from j to k into a ratio of 2 to 3
    7·1 answer
  • How do you solve this
    5·1 answer
  • If I have 500 animals and gave away 267 how much would I have left
    8·2 answers
  • Which of the following is correct?
    15·2 answers
  • 18 cm
    7·1 answer
  • Simplify the expression <br> 3(9+4x−5)<br> 3(9+4x−5)<br> . 
    6·2 answers
  • Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
    9·1 answer
  • Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which stateme
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!