NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)

Answers

Answer 1

Answer:

  B. cos(pi/2) +i·sin(pi/2)

Step-by-step explanation:

You can convert to rectangular and back, or you can use the trig function relations directly.

  w = 4·cis(π/2) = 4i

  z = 3·cis(3π/2) = -3i

Then the sum is ...

  w +z = 4i -3i = i = cis(π/2) . . . . matches choice B

__

An alternative representation of z is ...

  z = -3·cis(π/2)

Then ...

  w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)

_____

Additional comment

In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).


Related Questions

A store has 120 customers in 6 hours. what is the unit rate in cumstomers per hour?​

Answers

So to figure this out we are looking for the amount of customers in the store each our, so we simply divide 120 by 6 and get 20 as our answer.


Simplify the expression.
3.7-4.6n-3n + 6

Answers

Answer:

−7.6n+9.7

Step-by-step explanation:

First, lets put the equation

≈3.7 - 4.6n - 3n + 6

Add light terms

−7.6n + 9.7

Now were done

Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
friends as many pencils as possible and keep the rest. Which statement is true?

Answers

Answer:

A

Step-by-step explanation:

7*9=63

63/6= 10 remainder 3

Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils

Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1

Answers

Answer: The slope is 1/2 or 0.5

Find the slope-intercept equation of the line that has a slope of -2 and goes through the point (5,-2).

Answers

y = -2x + 8 is the answer, hope this helps

or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.

Answers

Answer:

4cos(4x-4pi)+5

Step-by-step explanation:

It was from khan

HELLLLLLLLPPPPPPPPPPPPP​

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Answer:

C

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

PLZ HELP ITS SUPER URGENT
Find the length of X

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Answer:x is two

Step-by-step explanation:

PLZZZZZ HELP ITS TIMED

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Answer:

2. a.

3. g.

4. e.

Factor completely:

–abc –5ac –4ab –20a

Answers

Answer:

[tex]-a(b+5)(c+4)[/tex]

Step-by-step explanation:

[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]

The factor of the given expression is -a(b+5)(c+4)

What is factorization?

Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object

Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,

-abc -5ac-4ab-20

- a(bc +5c+4b+20)

- ac(b+5)+4(b+5)

- a(b+5) (c+4)

Hence, the factor of the given expression is -a(b+5)(c+4)

Learn more about factorization, click;

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do u mind help me pls?​

Answers

2. perpendicular, parallel, perpendicular, neither, parallel

3. A

4. B

What is the measure of < A B C ?

Answers

143.25 °

is the correct answer.

please mark my answer as brainest and follow me to get the answer faster.

HELP ME PLEASE IS IMPORTANT AND ASAP!
Determine whether f(x)= 5 - 2x2 -5x has a maximum or a minimum value and find that value.

Answers

Answer:

maximun (0,5)

Step-by-step explanation:

Answer:

So, I put Maximum. (-5/4, 65/8) and it was correct

Step-by-step explanation:

I don't know how to do step by step sorry

Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

graph ab

Step-by-step explanation:

Answer: A. Graph A

Step-by-step explanation:I just did it and got it right...

Lamar is a commercial real estate agent who earns a yearly salary of $82,500 plus a 2.5% commission on his total sales. If his total sales in one year are $3.75 million, what are Lamar’s earnings for that year?

Answers

Answer:

$176,250

Step-by-step explanation:

Multiply $3.75 million by Tomas commission on his total sales.

Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: if it doesn't have a decimal add one add the end of the number then move it two spaces to the left)

$3,750,000 x .025 or 0.025 = $93,750

Add $93,750 to Tomas yearly salary

$93,750 + $82,500 = $176,250

So

If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250

you have $5.88. You buy 8 items that cost $0.44 each How many items much money do you have left?​

Answers

Answer:

$2.36

Step-by-step explanation:

0.44 x 8 = 3.52

5.88 - 3.52 = 2.36

$2.36

-Chetan K

8x.44(each item that costs $0.44)= $3.52 (total of all the items) you then subtract the total you have $5.88-$3.52 the total of the items= $2.36 remaining

Five years ago, a father was 3 times as old
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Answers

Answer:

Father is 80 years old and the son is 30

Step-by-step explanation:

Let father be x and son be y:

x-5 = 3(y-5)

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x = 110 -y -------- eq2

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x = 110 - 30

x = 80

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The price of trail mix at a health food store is
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

find the unknown angle ​

Answers

Answer:

total angles in triangle = 180

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how?

alternate angles theorem

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Landon and chris are playing a video game . At the end of the game the boys scored 209 points total if Landon scored five more than twice the number of Points that chris did how many points did Landon score

Answers

Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

Math
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Answers

Answer:

5/8=0.625

Step-by-step explanation:

5/8=decimal

5/8=0.625

Hope this helps :)

Answer:

0.625

Step-by-step explanation:

We know that 1/8= 0.125, so to get 5/8 as a decimal you would do 5 times 0.125.

{1, 2, 3, 4, 5, ..., 198, 199, 200}
How many members of the set shown above are multiples of 6 but not a multiple of 9?
(I need a faster way of doing this question. Not listing the factors of 6 and 9 one by one.)
Thank you so much. I will give brainliest!!!

Answers

Answer:

  22

Step-by-step explanation:

The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.

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__

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Elsa recorded the different types of ice cream her friends like in the table below: Ice Cream Type Number of Friends Chocolate 3 Pistachio 1 Strawberry 2 Vanilla 4 Which of the following plots represents the data in the table? A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 2 above Pistachio, 3 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 4 above Strawberry, and 2 above Vanilla.

Answers

Answer:

Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla

Answer:

The answer is A

Step-by-step explanation:

I took the exam

divide $70 into the ratio of 2:7: 1​

Answers

Answer:

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Step-by-step explanation:

To solve this question you first add the ratios.

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7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.

Thus you get the ratio, $14:$49:$7.

And if you add 14+49+7, you get 70!



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True or False

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Meaning of =N

please

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hope it is helpful to you please follow give brainliest answer

your ans. in above pic

How much would it cost to buy three medium sodas and two hotdogs

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ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
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Answers

Answer: the answer is D hope it helps.

Just took the test. Edge

Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.

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The width is 3 and the height is 3
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