how do you convert complex numbers to polar form

Answers

Answer 1

Answer:

Step-by-step explanation:

Let r and θ be polar coordinates of the point P (x, y) that corresponds to a non-zero complex number z = x + iy. The polar form or trigonometric form of a complex number P is z = r (cos θ + i sin θ)


Related Questions

Brandon buys a radio for $45.29 in a state where the sales tax is 7%.What is the total Brandon pays for the radio?

Answers

Answer:

Net Amount (excluding tax)$45.29

Tax (7.0%)$3.17

Gross Amount (including tax)$48.46

Step-by-step explanation:

Please don't hate me if i'm wrong.

Answer:

48.46

Step-by-step explanation:

To find the sales tax of this you would have to multiply

$45.29*1.07=48.46

which would get you your answer

Example

You can plug it in with other things like sales tax of 9% for any number like 67.98 so you can just do

$67.98*1.09=74.10

1 /2 (6k+10)+5k Simplify. Then, justify

Answers

Answer:

8k + 5

Step-by-step explanation:

First, you need to distribute the 1/2 to everything in the parentheses.

1/2 x 6k = 3k

1/2 x 10 = 5

The new expression is now:

3k + 5 + 5k

Add like terms.

3k + 5k = 8k

The expression becomes:

8k + 5

Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium and
William is 334 miles away from the stadium. Lily is driving along the highway at a
speed of 44 miles per hour and William is driving at speed of 51 miles per hour. Let L
represent Lily's distance, in miles, away from the stadium t hours after noon. Let W
represent William's distance, in miles, away from the stadium t hours after noon.
Write an equation for each situation, in terms oft, and determine the interval of
hours, t, for which Lily is closer to the stadium than William.

Answers

Answer:

L= -44t +313 W=-51t+334

Lily is closer to the stadium than William when t < 3 hours

Step-by-step explanation:

What is 2 plus 2 giving brainliest

Answers

Answer:

four

Step-by-step explanation:

2 plus 2 = 4 jdhdvsjsisbebsfajwjebdnx xbdus

Step-by-step explanation:

the answer to 2 plus 2

is four

2+2=4

What value of x makes this equation true? x/4 = 44

Answers

Answer:

176

Step-by-step explanation:

The bus fare in a city is $2.00 . People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the coupon​ book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book

Answers

X=26 26+x*1=2x hope this helped

If figure 1 needs 3 toothpicks, figure 2 needs 6 toothpicks and figure 3 needs 9 toothpicks then how many toothpicks will be needed in figure 4?

Answers

Answer:

Figure 4 will need 12 toothpicks.

what the sqare units of a 3 bye 7​

Answers

There is 21 square units by 3 and 7. 3 as the column and 7 as a row. You can solve it by multiplying 3 with 7 which gives you 21 or adding 7+7+7 or 3+3+3+3+3+3+3 and all three gives you 21 as the answer. So the square unit of 3 and 7 is 21.

1) Define the three trigonometric ratios (sine, cosine, and tangent) using opposite side, adjacent side, and hypotenuse)​

Answers

Answers:

sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacent

These three ratios are often expected to be memorized or written on a flashcard, or reference sheet. I recommend memorizing them as they will come up quite often in trigonometry.

One way to remember is to use phrase "SOH CAH TOA" which could sound like "soak a toe-a" when you pronounce it out.

SOH = sine opposite hypotenuse

CAH = cosine adjacent hypotenuse

TOA = tangent opposite adjacent

TVs are described by the length of their diagonals. The diagonal of a TV is
always a WHOLE NUMBER. If Sarah's mom has a cabinet with an opening that
measures 20 inches by 15 inches in her kitchen, what is the largest TV she can fit
in the opening?

Answers

Answer:

32

Step-by-step explanation:

Is 5/11 equivalent to -5

Answers

Answer:

false, no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

List all the points that are on the same plane as point V



Please help me I’ll reward

Answers

I believe it would be X,S,Y,U

I WILL GIVE BRAINLIEST Solve: 2(2x + 9) = 5x + 72

Step 1: 4x + 18 = 5x + 72
Step 2: 9x + 18 = 72
Step 3: 9x = 54
Step 4: x = 6

Which is the first incorrect step in the solution shown above?

Step 1
Step 2
Step 3
Step 4

Answers

Answer:

The first incorrect step would be the second, I think.

Step-by-step explanation:

You need to distribute:

2(2x+9) = 5x + 72

4x + 18 = 72

Then subtract 18 from both sides of the equation. Step 2 dosnt do this.

Next you simplify and get: 4x = 5x + 54

Subtract 5 from both sides of equation

Finally simplify and you get: -x = 54

Answer:

Solve: 2(2x + 9) = 5x + 72

Incorrect :---

Step 1: 4x + 18 = 5x + 72

Step 2: 9x + 18 = 72

Step 3: 9x = 54

Step 4: x = 6

Correct :---

Step 1: 4x + 18 = 5x + 72

Step 2: x + 72 = 18

Step 3: x = 18-72

Step 4: x = -54

Which is the first incorrect step in the solution shown above?

Step 1Step 2Step 3Step 4

→First incorrect step in the solution shown above is Step 2.

Two dice are rolled. Find the probability of getting a. A sum of 5, 6, or 7 b. Doubles or a sum of 6 or 8 c. A sum greater than 8 or less than 3 d. Based on the answers to parts a, b, and c, which is least likely to occur

Answers

Answer:

The answer is below

Step-by-step explanation:

The possible outcome from rolling two dice is:

1,1      1,2      1,3     1,4      1,5     1,6

2,1     2,2     2,3    2,4     2,5    2,6

3,1     3,2     3,3    3,4      3,5    3,6

4,1     4,2     4,3     4,4     4,5     4,6

5,1     5,2     5,3     5,4     5,5     5,6

6,1     6,2     6,3     6,4     6,5     6,6

The total number of outcomes = 36

a)

P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36

Hence:

P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36

P(sum of 5, 6, or 7) = 15 / 36

b)

P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36

Hence:

P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36

P(doubles or sum of 6 or sum of 8) = 16 / 36

c)

P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36

P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36

P(sum greater than 8 or less than 3) = 11 / 36

Part c has the least probability of occurrence, hence c is least likely to occur.

Each day martin lifts weights for 10 minutes and runs on the treadmill

Answers

Answer:

I can see ur question but I'm not getting it is there any answers I can chose from to work it out

1.

Which expression is equivalent to "the second power of (8 - 3)"?

O A 53

B. 83

c. 52

D. 2(8 - 3)

Answers

Answer:

[tex](8 - 3)^2 = 5^2[/tex]

Step-by-step explanation:

Given

[tex](8 - 3)[/tex]

Required

Determine the second power

The second power of an expression is the square of the expression.

So, the second power of [tex](8 - 3)[/tex] is

[tex](8 - 3)^2[/tex]

Solving further:

[tex](8 - 3)^2 = 5^2[/tex]

Hence:

Option (c) is correct

y= x - 5

y= -3x + 3

graph please ASAP FOR EXAMS

Answers

Answer:

(2,-3)

Step-by-step explanation:

The intersection point of y=x-5 and y=-3x+3 is (2,-3) on a graph.

3x + 4y = -23
2y - x = -19

What is the solution (x, y) to the system of equations above?


(-5, -2)

(3, -8)

(4, -6)

(9, -6)

Answers

Step-by-step explanation:

I belive is choice 2 cause I only got -19 with that one

A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour. What is this number in word form?
Seven hundred one thousand, two hundred eight
Seven hundred ten thousand, twenty-eight
Seven hundred one thousand, twenty-eight
Seven hundred ten thousand, two hundred eight

Answers

Seven hundred one thousand, two hundred eight

701,208 is in word form is Seven hundred one thousand, two hundred eight

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour

We need to write the number in sentence form

In the given number 8 is at units place

0 at tens place

2 is at hundred place

1 is at thousand place

0 is at ten thousand place

7 is at hundred thousand place

701, 208 is Seven hundred one thousand, two hundred eight

Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Find the value of x in the trapezoid below

Answers

Answer:

I think its 108. Hope this helps!

Step-by-step explanation:

the value of x is 108

Dan is serving his child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories. Dan wants the total calorie count from the french fries and chicken wings to be less than 500 calories. Using the values and variables given, write an inequality describing this.

Answers

Answer:

25f + 100c < 500

Step-by-step explanation:

I hope it helps.

4x + 20=? it’s hard and i’m confused

Answers

Answer:

4(x+5) I

Step-by-step explanation:

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

This is for if you are trying to solve for x. If that is not your goal, do not heed my words.

Subtract 20 from both sides.

[tex]4x + 20 = ?[/tex]

becomes

[tex]4x = -20[/tex]

Divide both sides by 4.

[tex]4x = -20[/tex]

becomes

[tex]x = -5[/tex]

And that's how you'd solve for x.

The third set in a tennis match went for
71.28
minutes, which was
8%
longer than the second set. The second set was
10%
longer than the first set.

Answers

Answer:

First set = 60 minutes

Second set = 66 minutes

Step-by-step explanation:

Given that:

Length of third set = 71.28 minutes ;

Third set was 8% longer than second set ;

Length of second set = x

Third set = (100% + 8%) = 108% of second set

71.28 = 1.08 * x

71.28 = 1.08x

x = 71.28 / 1.08

x = 66

Hence, second set = 66 minutes

Second set was 10% longer than the first

(100 + 10)% of first set = second set

110% of first set = second set

Let first set = y

1.1 * y = 66

1.1y = 66

y = 66 / 1.1

y = 60

Hence, first set = 60 minutes

First set = 60 minutes

Second set = 66 minutes

12% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 331 randomly selected students who receive financial aid, 43 of them volunteered their time. What can be concluded at the
α
= 0.01 level of significance?

For this study, we should use
Select an answer
The null and alternative hypotheses would be:

H
0
:

?

Select an answer

(please enter a decimal)


H
1
:

?

Select an answer

(Please enter a decimal)

The test statistic
?
=
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
?

α

Based on this, we should
Select an answer
the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the populaton proportion is significantly different from 12% at
α
= 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 12%.
The data suggest the population proportion is not significantly different from 12% at
α
= 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 12%.
The data suggest the population proportion is not significantly different from 12% at
α
= 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%.

Answers

Answer:

Null Hypothesis:-H₀: P = 0.12

There is no difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is a difference between the percentage of volunteers selected from the college students.

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Step-by-step explanation:

Step(i):-

Given that the Population proportion P= 12% = 0.12

Given that the 331 randomly selected students who receive financial aid, 43 of them volunteered their time.

Sample proportion

                      [tex]p = \frac{x}{n} = \frac{43}{331} = 0.1299[/tex]

Step(ii):-

Null Hypothesis:-H₀: P = 0.12

There is a difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is no difference between the percentage of volunteers selected from the college students.

Step(iii):-

Test statistic

        [tex]Z = \frac{p-P }{\sqrt{\frac{PQ}{n } } }[/tex]

        [tex]Z = \frac{0.1299-0.12 }{\sqrt{\frac{(0.12)(0.88)}{331 } } }[/tex]

      Z = 0.5543

Level of significance = 0.01

Critical value Z₀.₀₁ = 2.376

Final answer:-

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Calculate the time it would take to infuse 1550ml of medication being infused at 100ml/h

Answers

Answer:

15.5hr

Step-by-step explanation:

Speed = Distance/Time

Given

Distance = 1550ml

Speed = 100ml/hr

Required

Time

From the formula;

Time = Distance/Speed

Time = 1550/100

Time = 15.5hr

Hence it will take 15.5hr


A plane traveled 1232 miles each way to New York City and back. The trip there was with the wind. It took 11 hours.
The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.

Answers

The speed in which the plane was traveling with the wind was 112 mph. On the way back, the plane traveled 56 mph.

The way you find this out is by taking the miles traveled and dividing it by the by the time it took to travel that distance

what is 48 as a product of its prime factors... SHOW ALL WORKING​

Answers

Answer:  48 as a product of its prime factors is 48  or  2*2*2*2*3

Step-by-step explanation:

 First find the prime factors of 48

    48

     ∧  

 2    24    

        ∧

      2     12

             ∧  

            3   4  

                  ∧

                 2  2  

The prime factors are  2 * 2 * 2 * 2 * 3     or [tex]2^{4} * 3[/tex]  

I need help! I have an idea of which pick.

Answers

Answer: ok so I am bad at this but i would pick.....the top one

Step-by-step explanation:

Factor the common factor out of each expression.
13) 50k + 20
14) 405-25
15) 5a + 10
16) 16k + 12

Answers

Answer:

Step-by-step explanation:

10(5k+2)

14) confused sorry

5(a+2)

4(k+3)

I need help with this

Answers

C=mc square .. your welcome

Answer:

1. 121    

2. 59

3. 48

4. 132

5. 17

6. 34

7. 23

8. 67

Step-by-step explanation:

just had this assignment and got a 100%, hope this helps!

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