What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFraction pi Over 18 EndFraction) ) gets raised to the 6thpower?


ill give brainiest :3

What Is The Modulus And Argument After (StartRoot 3 EndRoot) (cosine (StartFraction Pi Over 18 EndFraction)

Answers

Answer 1

Answer:

On the test I took the correct answer is c

Step-by-step explanation:

I took the test

Answer 2

The modulus= 27 and Argument = π/3

What is Argument?

The angle inclining from the real axis in the direction of the complex number shown on the complex plane is known as the argument of a complex number.

Given:

z = √3 (cos (π/18) + i sin (π/18))[tex]^{6[/tex]

Now, z = [tex](\sqrt{3}) ^6[/tex] (cos (π/18) + i sin (π/18))[tex]^{6[/tex]

z = 27 (cos (π/18) + i sin (π/18))[tex]^{6[/tex]

As, A complex equation can be expressed as:

z [tex]= |z |e^{i\theta[/tex]

where z= Modulus and [tex]\theta[/tex] is an argument

and, [tex]e^{i\theta =[/tex] cos (π/18) + i sin (π/18)

Then, z = 27 ([tex]e^{i(\(\pi/18)}^6[/tex])

and  [tex]e^{i\theta =[/tex] [tex]e^{i(\(\pi/18)}^6[/tex]

Now comparing

[tex]i\theta =i \pi/18[/tex] x 5

[tex]\theta = \pi/3[/tex]

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Related Questions

what is the difference between mutiplying and adding polynomials

Answers

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)

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Answer:

second A

Step-by-step explanation:

They are alternate interior angles

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HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2

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Answer:

corresponding angles

Alternate angle

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Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.

Answers

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

someone please help !!!

Answers

Answer: it A (-36/w^7
Explanation: I multiplied

Help pls help pls help pls help pls help pls

Answers

It’s the second one.......

Answer:

It might be b (the second one)

can someone pls help Write the following equation as a sentence: w = (15)(165)

Answers

Answer:

width equals fifteen times one hundred sixty five

is that right or is that ok or good enough?? sorry if i am wrong....

Answer:

W = 2475

Step-by-step explanation:

I am not sure if you want the answer or not but I hope this helps

What is the difference between an image under a dilation with a scale factor 0 1

Answers

is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.

3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.

Answers

All natural numbers are whole numbers

A container of water holds 128 fluid ounces. Toya drinks 8 fluid ounces of water every hour. How many fluid ounces are in the container after 8 hours

Answers

Answer: 64 fluid ounces

Step-by-step explanation:

Amount of water in the container = 128 fluid ounces

Amount drank by Toya every hour = 8 fluid ounces

For 8 hours, Toya would have drank:

= 8 × 8 fluid ounces

= 64 fluid ounces

To calculate the amount of fluid ounces

thataree in the container after 8 hours, we then subtract 64 fluid ounces from 128 fluid ounces. This will be:

= 128 fluid ounces - 64 fluid ounces

= 64 fluid ounces

6 + p <4 solve and graph

Answers

Answer:

harjot sinfh answer hai bro is

Answer:

P2 + 2P - 24

Step-by-step explanation:

slope= 1/4, y intercept=2

Answers

Answer:y = mx + b formaty = 1/4x + 2Hope this helps!!

A pet store has two types of betta fish ref betta fish and blue betta fish a customer notices that 7 out of 12 betta fish in the store are red what is the ratio of blue betta fish to red betta fish?

Answers

Answer:

5:7

Step-by-step explanation:

A pet store has two types of betta fish which is red and blue

She noticed that 7 out of the 12 beta fishes are red

This means that there are 7 red beta fishes and 5 blue betta fishes

Therefore the ratio of blue betta fish to red betta fish is

= 5:7

At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $

Answers

Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

8 1/6 - 2 7/8 =

ANSWER ASAPPP .... AND ILL MARK BRAINLIEST

Answers

Answer:

5  7/24

Step-by-step explanation:

Answer:

5.29

Step-by-step explanation:

PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg

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Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

Find the equation of a line that passes through the points (6,7) and (8,3).
Leave your answer in the form
y = mx + c

Answers

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.

A line has a slope of 2 and passes through the point (0,0) what is its equation in slope intercept form

Answers

Answer:

y=mx+b is slope-intercept form

where m is the slop, and b is the y intercept

if m is the slop then we can plug that into the equation

y=2x+b

next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.

y=2x+0

eliminate the 0

y=2x is your equation

Step-by-step explanation:

Which one is right *Will make BRAINLEST*

Answers

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Please help I’m stuck on this one!

Answers

Answer: The length of JK is 10.5 m

Step-by-step explanation:

Find the circumference C= dπ

C = 12π

C= 37.7

There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.

Multiply the Circumference by 100/360  (or 5/18 × 37.7)

The arc is 10.5 m

Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.

Answers

Answer:

Serena earns $7.50 per hour more than Gabe

Step-by-step explanation:

Given

Serena:

[tex]m = 21h[/tex]

Gabe

Earnings: $13.50 per hour  ----- Missing Part of equation

Required

How much more does Serena earn per hour

For Serena

[tex]m = 21h[/tex] implies that She earns $21 per hour

So, to determine how much more She earns, we simply calculate the difference.

[tex]Difference = \$21 - \$13.50[/tex] (per hour)

[tex]Difference = \$7.50[/tex] (per hour)

The difference implies that Serena earns $7.50 per hour more than Gabe

Fond the product of 2x4(2x+3x+4)

Answers

Answer:

10x⁵ + 8x⁴

Step-by-step explanation:

Which expression is equivalent to (−3n+18m)−(112m−n)?

Answers

Answer:

I believe it is -94m-2n

In logical reasoning, what does "V" represent?

Answers

Answer:

Violation

Step-by-step explanation:

Jayden drives 22.5 miles in 30 minutes. If he drove one hour in total at the same rate, how far did he go? Before you try that problem, answer the question below. How many minutes did Jayden drive in total?

Answers

Answer:

Step-by-step explanation:

2

(-1,1) and (0,4) are on the line what is the linear equation in standard form

Answers

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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If DE=2x-1, what is the value of x

1. 7
2. 7.5
3. 8
4. 8.5

Answers

Taking into account the 90° rotation: A is D, B is E, and C is F. So, the corresponding side on Triangle ABC to the side DE(2x - 1) is AB (16).

16 = 2x - 1

Add 1 on both sides

17 = 2x

Divide by 2 on both sides

8.5 = x

I believe this is your answer

The value of the variable 'x' will be 8.5. Then the correct option is D.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.

The side AB is equal to DE. Then we have

DE = AB

2x - 1 = 16

2x = 16 + 1

2x = 17

x = 17/2

x = 8.5

The value of the variable 'x' will be 8.5. Then the correct option is D.

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Pls help me I have no idea

Answers

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar

Answers

Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

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