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
ValentinkaMS [17]
3 years ago
10

Given z1 and z2 below. Calculate z1/z2 and write your answer in rcistheta form.

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

  (2/9)cis(30°)

Step-by-step explanation:

We can express the two numbers in magnitude∠angle form, then find their ratio.

  |z1| = 3√((-1)² +(√3)²) = 3√4 = 6

  ∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°

  z2 = 27∠90°

So, the ratio is ...

  z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)

  z1/z2 = (2/9)∠30°

You might be interested in
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was o
Roman55 [17]

Answer:

Option C.

Step-by-step explanation:

Given information:

Sample size = 150

Number of Opinions = 3 (Yes, No, No Opinion)

Yes = 40

No = 60

No opinion = 50

We need to find the expected frequency for each group.

Expected frequency for each group is the quotient of sample size and number of opinions.

\text{Expected frequency for each group}=\dfrac{\text{Sample size}}{\text{Number of Opinions}}

\text{Expected frequency for each group}=\dfrac{150}{3}

\text{Expected frequency for each group}=50

Therefore, the correct option is C.

6 0
3 years ago
Select all irrational numbers. 1/8 1/2 1/4 1/10 1/16
NNADVOKAT [17]
There are no irrational numbers because all these fractions come to a stop
6 0
3 years ago
Read 2 more answers
One u.s. fluid gallon contains a volume of 231 cubic inches. how many liters of gasoline would you have to buy in canada to fill
denis23 [38]
For this problem, we are asked to convert from one unit to another unit so we need conversion factors to be able to do this. We need to convert from gallon to cubic inches then from cubic inches to liter. We do as follows:

14 gallon ( 231 in^3 / 1 gallon ) ( 2.54 cm / 1 in )^3 ( 1 L / 103 cm^3) = 514.52 L
6 0
3 years ago
if one m&m is randomly selected from a dish containing 7 green, 4 red, 5 blue and 8 yellow m&ms, find the probability th
Bad White [126]

Answer:

1/6 = 16.67%

Step-by-step explanation:

There are a total of 24 m&ms. The probability of picking an m&m that has a quantity of 4 is 4/24 = 1/6 = 16.67%

6 0
3 years ago
Who want crown things
ivolga24 [154]

Answer:

meeee plzzzzzzz even thow i have no idea whta that ios

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40
    13·2 answers
  • If the price is 15 and the sales tax is 3%,what is the amount you will have to pay for tax?​
    11·1 answer
  • What is the gcf of 56 and 14
    15·2 answers
  • Find the 9th term of the geometric sequence whose common ratio is ⅔ and whose 1st term is 2. BRANLIEST ASAP TY!!!​
    9·1 answer
  • Radius how do I get a radius of 4cm
    15·2 answers
  • What is the sum of 12-5¡ and -3+4¡
    11·2 answers
  • Help please. I have most of the problem done.
    8·1 answer
  • What is the following product?<br> 3 square root of 5 • square root of 2
    11·1 answer
  • Suppose y varies directly with x. Write a direct variation equation that relates x and y.
    5·1 answer
  • A = 2b so what is the value of b-a=?<br>​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!