PLEASE HURRY!!!
Let z = Equals 38 (cosine (StartFraction pi over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) ) and w = 2 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) ) .

What is the product of zw?
40 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) )
76 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) )
40 (cosine (StartFraction 3 pi Over 16 EndFraction) + I sine (StartFraction 3 pi Over 16 EndFraction) )
76 (cosine (StartFraction 3 pi Over 16 EndFraction) + I sine (StartFraction 3 pi Over 16 EndFraction) )

Answers

Answer 1

9514 1404 393

Answer:

  d.  76(cos(3π/16) +i·sin(3π/16))

Step-by-step explanation:

To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:

  38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)

___

In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))


Related Questions

Megan's bank account is charged $9.95 per month for an online newspaper subscription how can you represent a change in her account balance after three months of charges

Answers

Answer:

T = C - (9.95 * 3)

Step-by-step explanation:

The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months...

T = C - (9.95 * 3)

The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.

What is the remainder when 2x^3−9x^2+11 is divided by x−6?

Answers

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

     = 2(216) - 9(36) + 11

     = 432 - 324 + 11

     = 119 ← remainder

y’all what is 1/7=1/7x-3

Answers

Answer:

x=22

Step-by-step explanation:

2(7z + 4) im confused abt this nothing hard

Answers

Answer:

[tex]14z+8[/tex]

Step-by-step explanation:

[tex]2(7z+4)\\\\\boxed{14z+8}\\\\\left \{ {{2*7z=14z} \atop {2*4=8}} \right.[/tex]

Hope this helps.

if f(x)=3x-1 find f(2)

pls show steps I rlly need to understand this!

Answers

f(2)=3(2)-1
f(2)=6-1
f(2)=5

Which best describes the relationship between the 125° angle and angle A?

They are same side interior angles. Angle A measures 55°.
They are alternate interior angles. Angle A measures 125°.
They are vertical angles. Angle A measures 125°.
They are corresponding angles. Angle A measures 55°.

Answers

Answer:

A.

Step-by-step explanation:

They are same side interior angles. Angle A measures 55°.

PLEASE MARK IT AS BRAINLIEST

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

just is

(HELP PLEASE!! answer all the questions) Mr. Smith decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 34feet long.
Each president's picture is 6 inches wide.

If the pictures are placed side by side on either side of the window, how many pictures can he fit on this wall?

Answer the questions to solve this problem.


1. How many feet long is the space Mr. Thuman wants to fill with pictures? Explain how you know.

Write your answer in the space below.






2. Convert this length to inches. (There are 12 inches in 1 foot)

Write your answer in the space below.









3. How many pictures will Mr. Thuman use? Explain how you found your answer.

Write your answer in the space below.









4. How would your answer change if the pictures were 10 inches wide? Explain.

Write your answer in the space below.

Answers

9514 1404 393

Answer:

4.00 feet48 inches8 pictures4 pictures

Step-by-step explanation:

1. The available wall space is the difference between the length of the wall and the length of the window:

  9.75 ft - 5.75 ft = 4.00 feet

__

2. At 12 inches per foot, this is ...

  (4 ft)(12 in/ft) = 48 in

__

3. If the pictures are 6 inches wide, Mr. Smith can use ...

  (48 in)/(6 in/picture) = 8 pictures

__

4. If the pictures are 10 inches wide, Mr. Smith can use ...

  (48 in)/(10 in/picture) = 4.8 pictures

There is room for 4 pictures. Space for a fraction of a picture is not useful. This number is even, so 4/2 = 2 pictures can be placed on either side of the window.

Please help :)Please help :)Please help :)​

Answers

Answer:

the first one is correct

Step-by-step explanation:

it had to dell with Finding the Slope from Points​

Answers

Answer:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Step-by-step explanation:

from google

I need help please lol

Answers

Answer:

Omg I have a test too and it's due at midnight :/

Step-by-step explanation:

Omg i bave a test too it’s tonight

Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?

Answers

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.

Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)^2
LOOK AT THE PICTURE REALLY EASY

Answers

Answer:

D

Step-by-step explanation:

We have the equation:

[tex]x+9=4(x-1)^2[/tex]

To convert this to standard form, we can simply expand.

First, expand the right-hand side:

[tex]x+9=4(x^2-2x+1)[/tex]

Distribute the right:

[tex]x+9=4x^2-8x+4[/tex]

Subtract 9 from both sides:

[tex]x=4x^2-8x-5[/tex]

Finally, subtract an x from both sides:

[tex]0=4x^2-9x-5[/tex]

Flip:

[tex]4x^2-9x-5=0[/tex]

Hence, our answer is D.

I need help with another one! Thankyou guys this means alot to me

Answers

Answer:

9.5 = y

Step-by-step explanation:

You have to use the cosine function equation.

cos(38) = [tex]\frac{y}{12}[/tex]

Multiply 12 on both sides.

12cos(38) = y

Solve.

9.46 = y

Answer:

9.5

Step-by-step explanation:

y is the adjacent side of the given 38 degree angle. You are given the hypotenuse of right angle triangle. So the trig function that you need to use is the Cosine

Cos(38) = y / 12

multiply both sides by 12

12*cos(38) = 12*y/12

12*cos(38) = y

12*0.7880= y

y =9.456

Graph the line
y=-x+5
HURRY PLEASE!

Answers

Answer:

last one on the left an go up and place dot in between 4 and 6

Step-by-step explanation:

What is the solution to −(6m + 8) = 4(17 − m)?

Answers

Answer:

m= -38

Step-by-step explanation:

-(6m+8)=4(17-m)

-6m-8=68-4m

-6m+4m-8=68

-2m-8+8=68+8

-2m=76

-2m/-2=76/-2

m= -38

Estimate the difference.
6.11 - 1.2

Answers

Answer:

5.9

Step-by-step explanation:

Answer:

it is 5.9

Step-by-step explanation:

I have this question I've thought about it but I couldn't get the answer i really will appreciate if anyone helps me out with it the question is Malia bought 14 cans of cat food. Each can weigh 8 ounces. How many total ounces of cat food did she buy?

Answers

Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

can y’all help i’m stuck i don’t understand

Answers

Answer:

C.  x=2.5, DC=7.5, EC=15

Step-by-step explanation:

since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.

Now you can just do 2.5+5=7.5 so DC=7.5

What is the area of this figure?
4 mm
4 mm
12 mm
13 mm
9 mm
4 mm
12 mm

Answers

What is the figure sir/ma’am

Guy’s pls help me!!
What is the product of x^2 - 2x + 3 and x +1?
1) x^3 - x^2 + x + 3
2) x^3 - 2x^2 + 3x
3) x^2 - 3x +2
4) x^2 - x+4

Answers

Product = multiply
(X^2-2x+3)(x+1)
= 1) x^3 - x^2 + x + 3

1. The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours. Ab Bicycle Rental Costs Time, x (hours) Total Cost, y (dollars) 1 $10 2 $20 3 $30 Part 1: A student drew the following graph to represent this situation. Explain the error in the graph​

Answers

1) The error in the graph should be that the time should be on x-axis and cost should be on y axis

Important information: The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours.

Information regarding graph:Here the error is that the time should be shown on the x-axis and the cost should be shown on the y-axis.

Find out more information about the graph here:

https://brainly.com/question/14375099?referrer=searchResults

complete the missing value in the solutuion to the equation​

Answers

Answer:

Step-by-step explanation:

5x-2y=30

Given x=8

5×8-2y=30

-2y=30-40

y=5

2(x²+3x)+12=0 write in standard form​

Answers

Answer:

2 x^2 + 6 x + 12 = 0

Step-by-step explanation:

Expand the following:

2 (x^2 + 3 x) + 12 = 0

2 (x^2 + 3 x) = 2 x^2 + 2 (3 x):

2 x^2 + 2 3 x + 12 = 0

2×3 = 6:

Answer: |

| 2 x^2 + 6 x + 12 = 0

Solve 6x^2-2x+1=0 using any method.

Answers

Answer:

[tex]x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]

There are no real roots.

Step-by-step explanation:

[tex]6x^2-2x+1=0\\x=\frac{2-\sqrt{2^2-4*6} }{2*6} \\x=\frac{2-\sqrt{-20} }{12}\\x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]

The total for the two items (without tax) was $151.48. The price of the backpack was $65.49. What was the price of the calculator?

Answers

Answer:

The price of the calculator was $85.99

Step-by-step explanation:

Equation: 65.49 + x = 151.48 Subtract: x = 85.99

A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.
What is the probability of selecting a red marble? Your answer should be in simplified
form.

Answers

Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

hi can somebody answer this rlly quickly

Answers

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

Write the equation of the line that passes through the points (-6, -9) and
(7,7). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.

Answers

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{7+9}{7+6}[/tex]Add:                             [tex]m=\frac{16}{13}[/tex]

Step 3: Write equation

y - 7 = 16/13(x - 7)

Below are two parallel lines with a third line intersecting them

Answers

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

20^2 (20 squred) = ?​

Answers

Answer:

400

Step-by-step explanation:

20 squared is basically 20 x 20

20 x 20 = 400 because 2 x 2 = 4 and then move the two 0s over to get 400

Hope this helps! Have a nice day :)

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