Select the correct answer.
Convert 3-3i to polar form.
A. 3√2cis π/4
B. 3√2cis 3π/4
C. 3√2cis 5π/4
D. 3√2cis 7π/4

Answers

Answer 1

(Please mark brainliest <3)

Correct option is D.

We have been given a complex number 3-3i we have to convert it in the polar form:

Polar form of a complex number: z=r(cosθ+isinθ)

Where, r=√x^2+ y^2

the general form of complex number is:

x+iy

•Here, x=3 and y=-3

•Hence, r=√3^2+(-3)^2}= √18

•And θ=tan −1 y/x

•θ=tan −1 -3/3

•θ=tan −1 (−1)

•θ=2π− π/4

•θ= 7π/4

•Hence, substituting all the values in polar form formula we get:

z= √18cos( 7π/4) + isin (7π/4)


Related Questions

A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)

Answers

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the mean absolute deviation is calculated as:

[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

I WILL NAME BRAINSLEST WHI EVER ANSWRS FIRST AND DOESNT MAKE ME READ A LOT
The lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters.
The measures of two angles are 30 and 60 and the length of the included side is 12 inches.
The measures of the three angles are 45, 75, and 60"
Number of
Triangles
Glven Conditions
0
1
infinitely
many

Answers

Answer:

60? Maybe could be wrong

Step-by-step explanation:

0               Sides 4 cm, 2 cm, 7 cm

     1                ASA = 30°, 12 in, 30 cm

    ∞                Angles 25°, 75°, 60 °

FOUND THIS IN BRAINLY

Answer:

0 matches with 4,2, and 7 centimeters.

1 matches with 30, 60, and 12

infinitely many matches with 45, 75, and 60!

1 2 3 4 5 6 7 8 9 0 q w e r the y u I o p a s d f g h j k l z x c v b n m ​

Answers

Answer:ABCDEFGHIJKLMNOPQRSTUVWXYZ

Step-by-step explanation:

Tom needs AT LEAST $400 for a new video game system. He already has $120. He earns $8 an hour at his job. Solve the equality.

Answers

Answer:

428

Step-by-step explanation:

HELP please please please please please​

Answers

Hello!

This is just a conceptual problem where you'll be converting units.

If her semitrailer is 3.5m high and the bottom of the bridge (how tall the support beam are) is 11ft 9in high, we'll need to convert them into the same units and then compare both values.

Let's convert from inches to meters.

Since there are 12 inches in a feet, we can convert 11 feet into 132 inches, meaning that the bottom of the bridge is at 141 inches.

In 1 meter, there is around 39.37 inches, so we'll be dividing 141 by 39.37, giving us a number of around 3.5814, meaning that the bottom of the bridge is higher than the height of the semitrailer, and her vehicle will fit under the bridge.

Hope this helps!

Anyone know the answer?

Answers

Answer:

No. Im sorry!

Step-by-step explanation:



C4W2 Day 4_Weekly DOL Change In-Surface Area (1)
4. What is the approximate area of the
hexagon?
A 86.41 cm?
B 42.42 cm
C 62.35 cm?
D 33.49 cm?

Answers

I think it would be d

Find the length of a rectangular prism if the volume is 70 m3, the width is 2 m, and the height is 7 m. 5 m

Answers

Answer:

5 m

Step-by-step explanation:

4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6​

Answers

the answer is the second option, 5 1/5

Henry bought a car for $14,000. After two years, the value of the car was $8,400. What was the percent decrease in the value of the car after two years?

Answers

Answer:

40%

Step-by-step explanation:

I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.

There will be 40 percent decrease in the price of the car after two years.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The initial price of car = $14,000

After two year, the price of car = $8,400

The decrease in the price of the car = 14,000- 8,400

                                                             = 5600

The decrease in percentage = 5600×100/14000

                                                = 560/14

                                                 = 40%

The percent decrease in the value of the car after two year is 40%.

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Answer correctly and. I will give Brainly

Answers

Answer:

5

Step-by-step explanation:

since its isosceles AB = BC

3x - 4 = 5x - 10

2x = 6

x = 3

AB = 3(3) - 4

= 9 - 4

= 5

Please help due today

Answers

In order to form a more perfect union.

how did they get that answer? please answer

Answers

Answer:

Look at my explanation

Step-by-step explanation:

The circumference of a circle is 2πr, so you can set it up like this since the circumference was 22π.

2πr = 22π

divide both sides by 2

πr = 11π

divide both sides by π

you get r = 11

So your radius is 11.

To find the area, you must do πr^2 ("^2" means squared)

if you substitute 11 for r you get

11π^2

you can do 11 squared first

11^2 = 121

the area of the circle = 121π

Keep in mind that they said to use 3.14 for π

so you can do 121 x 3.14

Final Answer: 379.94

Points A and B are on opposite sides of the Grand Canyon. Point C is 200 yards from A. Angle B
measures 87° and angle C measures 67º. What is the distance between A and B? Round answer to
nearest tenth.

Answers

Answer:

AB = 184.4 yards

Step-by-step explanation:

The description here gives a triangle with two angles and a side. Let the distance between A and B be represented by d. Thus applying the Sine rule, we have;

[tex]\frac{a}{Sin A}[/tex] = [tex]\frac{b}{Sin B}[/tex]

[tex]\frac{200}{Sin 87}[/tex] = [tex]\frac{d}{Sin 67}[/tex]

d = [tex]\frac{200*Sin 67}{Sin 87}[/tex]

  = [tex]\frac{200*0.9205}{0.99863}[/tex]

d = 184.3526

Thus, the distance between points A and B is 184.4 yards

Answer:184.4

Step-by-step explanation:

Identify the terms, coefficients, and constants in the expression: 10x + 19 HDLSJSHSG SHSHAS HELP

Answers

Step-by-step explanation:

the term is 10x +19

cosf$icients is 10 and

constant is 19

Tina walks 1/2 mile in each 1/3 hour.

What is Tina's walking rate?


6 miles per hour

5 miles per hour

3/2 miles per hour

16 mile per hour

Answers

Answer:

6 mile per hour

Step-by-step explanation:

Tina runs 3/2 miles in an hour and it is her walking rate.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Tina walks 1/2 mile in each 1/3 hour.

So, Tina's walking rate is the distance she runs in an hour which is,

In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.

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what is m <1 + m <4?​

Answers

Answer:

m < 3 ?

Step-by-step explanation:

M>3 I’m guessing I need to answer 2 questions lol

sinx dx+y[tex]sinx dx+y^{2} dy=0

Answers

use photo math it should help hehe

5(x + 2) = 5x + 10 is an example of the property?.​

Answers

Answer:

Distributive property

Step-by-step explanation:



please help! i’ll mark brain list!!

Answers

Answer:

160

Step-by-step explanation:

LxWxH divided by 2

8x8x5=320

320/2=160

If the Volume of a Cylinder is 25*pi* and the radius is 4, what is the height "h"?
Round your answer to the nearest tenth if needed.

Answers

Answer:

The height of the cylinder is 0.497.

Step-by-step explanation:

Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):

3.14 x (4x4) x h = 25

3.14 x 16 x h = 25

50.24 x h = 25

h = 25 / 50.24

h = 0.497

Therefore, the height of the cylinder is 0.497.

what is the median of 11, 10, 8, 7, 7, 7, 5, 4, 3, 3, 3,

Answers

The correct answer is the median is 7
7 is the median mark

suppose that you borrow $12000 for 4 years at 6% towards the purchase of a car. use pmt to find the monthly payments and the total interest for the loan​

Answers

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

WILL MARK BRAINLIEST
Solve for x.

3
1
2
140

Answers

Answer:

x=1

Step-by-step explanation:

141x-1=2(70)

141x=140+1

141x=141

x=141/141

x=1

To investigate the relationship between age and preference for two mayoral candidates in an upcoming election, a random sample of city residents was surveyed. The residents were asked which candidate they preferred, and each resident was classified into one of three age-groups. The test statistic for the appropriate hypothesis test was 3.7408. Approximately what is the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference?
A. 0.0001
B. 0.1541
C. 0.2908
D. 0.5873
E. 0.7117

Answers

Answer:

B. .1541

Step-by-step explanation:

Not sure why but the teacher answer key had this listed, came on here to see why

Please answer I need help for math

Answers

Answer:

D. 248mi^2

Step-by-step explanation:

first find the area of the top and bottom which is 6x4 which is 24

then find the area of the side squares 10x4 which is 40 and then find the front and back squares which is 6x10 which is 60. then add them all up 24+24+40+40+60+60=248

WHAT IS 225/100 IN DECIMALS AND PERCENTAGES

Answers

That would be 225% and 2.25 I really hope this helps!!

Answer:

2.25 and 225%

Step-by-step explanation:

Suppose you invest, every month, in an annuity that pays 3% interest, compounded monthly. After 25 years, you have $550,000. How much money do you earn from interest? Round your answer to the nearest hundred dollars. Do NOT round until you have calculated the final answer.

Answers

Answer:

180100

Step-by-step explanation:

Use savings annuity formula

Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.

You have earned 292589 dollars from compound interest.

What is compound interest ?

Compound interest is calculated from both the initial principle and the previous accumulated interest.

According to the given question you invest, every month, in an annuity that pays 3% interest.So r = 3.

After 25 years, you have 550,000 dollars so amount (A) = 550,000.

We know, Interest = Amount - Principle.

A = P(1 + r/100)ⁿ, where n represents time in years.

Given n = 25.

The interest is compounded monthly so the formula will be

A = P[1 + (r/12)/100]¹²ⁿ.

555000 = P[ 1 + 3/1200]¹²ˣ²⁵.

555000 = P[ 1203/1200]³⁰⁰.

555000 = P(1.0025)³⁰⁰.

555000 = 2.115P

P = 262411.

CI = ( 555000 - 262411) dollars.

CI = 292589 dollars.

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If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?

Answers

Answer:

dimensions are 2 ft, 24ft

Step-by-step explanation:

width = w

length = 12w

Area of rectangle = 48 square feet

length * width = 48

12w * w = 48

12w² = 48           {Divide both side by 12}

w² = 48/12

w² = 4 =2²

w =2 ft

l = 12*2 = 24ft

Answer:

Solution :-

Let the width be w and Length will be 12w

So,

Area = lw

48 = 12w × w

48/12 = w²

4 = w²

√4 = √w²

2 = 2

Length = 12(2) = 24 cm

Breadth = 2 cm

[tex] \\ [/tex]

Which expression does NOT equal 10/12?

1. 5/12 + 5/12

2. 3/12 + 2/12 +2/12 + 2/12 + 1/12

3. 4/12 + 3/12 + 2/12 + 1/12

4. 5/12 + 4/12 + 3/12 + 2/12 + 1/2

Answers

Answer:

4.

Step-by-step explanation:

5+4+3+2+1 does not equal 10, from what i've learned. :)

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