Given w =StartRoot 2 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) and z = 2 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) ) , what is w – z expressed in polar form?

StartRoot 2 EndRoot (cosine (StartFRaction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 7 pi Over 4 EndFraction) + I sine (StartFraction 7 pi Over 4 EndFraction) )Solve the following triangle using the Law of Sines.
(9 points)

Answers

Answer 1

Answer:

  d) √2∠(7π/4)

Step-by-step explanation:

Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.

You are given ...

  w = √2∠(π/4)

  z = 2∠(π/2)

And you are asked to find the difference w-z in polar form.

__

In rectangular form, ...

  w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i

  z = 2∠(π/2) = 2(0 +i·1) = 2i

Then the difference is ...

  w -z = (1 +i) -(2i) = 1 -i

You may notice this is the conjugate of w, so will have the opposite angle:

  w - z = w* = √2∠(-π/4) = √2∠(7π/4)

In the terms used by the problem statement, ...

  w -z = √2(cos(7π/4) +i·sin(7π/4)) . . . . matches choice D


Related Questions

What temperature should I cook this

Answers

fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

describe using their angles

Answers

Answer:An isosceles is a type of triangle. It contains 2 sides that are the same length and 2 angles are the same. It had only 1 line of symmetry and has no rational symmetry, it always has two dashes opposite each other to show the side are the same length.

Step-by-step explanation:

I really need help on this please

Answers

Answer:

When you simplify you get 5/6. Hence both x can be removed and when divided by the exponents you get x cannot be equal to zero. The Answer is the second.

Step-by-step explanation:

A cooking pot holds 35 liters of water. This is 7 times the amount of water a mixing bowl can hold.

How much water can the mixing bowl hold?
A. 5 liters
B. 7 liters
C. 28 liters
D. 245 liters

Answers

Answer is A :) just simply divide 35 and 7 and you get 5!

answer .

5

explanation.

simple just 35 divide by 7

Malachi took cans to the recycling plant and put them into the can-crusher one at a time. After he had already crushed some of the cans, he started recording the number of cans he crushed per minute. This table shows how many cans Malachi put in the can-crusher at different times.


Time (min): 2 , 4 , 6 , 8
Number of cans crushed: 4 , 9 , 64 , 79 , 94

What is the equation that represents Malachi’s situation, where x represents the time and y represents the number of cans crushed?

Answers

Answer:

it is 793

Step-by-step explanation:

GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.

Answers

Answer:

Part A: It's linear because it increases at a constant rate of 14.99 dollars per month

Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)

Step-by-step explanation:

Part A: Every month, you have to pay the same amount.

1 month = 14.99

2 months = 14.99 + 14.99

3 months = 14.99 + 14.99 + 14.99

So, it's linear.

Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.

m = slope,   b = y-intercept (initial value)

Let's have the total cost  be represented as C

Let's also have the subscription per month be represented as M

So, C would = 74.99, because we only need to pay for a controller once

But we also our subsription per month, M, as 14.99.

So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables

I wanted to get more indepth. Try adding this to notes! <3

he perimeter of a rectangular field is 342m If the length of the field is 92m what is its width?

Answers

Answer:250

Step-by-step explanation:

342-92

Complete the equation so that it has one solution.
-2z+3-z=□-4z+2

Answers

answer...

Explanasion

Step-by-step explanation:

Step 1: switch sides and add up.

[tex] z + 1 - x = 0[/tex]

Step 2: switch sides for z is alone

[tex]z = x - 1[/tex]

Note: I used the blank space as x.

PLEASE ANSWER FAST TIMED TEST

Answers

Answer:

0.0000015

Step-by-step explanation:

SHEET CAKES
--------------------------------------------
$36 Small (Feeds 12 people)
$46 Medium (Feeds 22 people)
$56 Large (Feeds 32 people)
--------------------------------------------

The new pastry chef at Jackson's Bakery specializes in Sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?

Answer: $2,245 (I know it for this one but not the next one)

How many people would all of the sheet cakes sold in problem 3 feed?

--------------------------------------------------------------------------------------------------------
(Dont need to tell me the answer just tell the steps I need to do)

Answers

Answer:

The chef sold 17 small sheet cakes. One small sheet cake can feed 12 people, so the small sheet cakes she sold can feed 17*12 people, which is 204 people. Do this for the medium and large sheet cakes as well, and add them up, and you'll get the answer.

Step-by-step explanation:

Hope this helps!

Answer:

1086

Step-by-step explanation:

1. 7x12= 204(small cakes)

2. 11x22=242(medium cakes)

3.20x32=640(large cakes)

4. add all of the products up

so: 204+242+640

= 1086

This should be correct.

Question 6: 17 pts
Identify the parent function for the function g(x) = x2 - 4 based on its function rule.
Then graph g and identify the transformation of the parent function that it
represents.
linear; translation up 4 units
quadratic; translation up 4 units
quadratic; translation down 4 units
O
linear; translation down 4 units

Answers

Answer:

Parent function is g(x) = x² a quadratic

Step-by-step explanation:

quadratic; translation down 4 units  

-4 means the vertex will move down 4

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

The given function is g(x)=x²-4.

What is the parent function?

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

Quadratic; translation down 4 units:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

To learn more about the parent function visit:

https://brainly.com/question/17939507.

#SPJ2

this is triangle and it's properties

PLEASE HELP ME
Pls​

Answers

HYPOTENUSE RULE :

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ = \sqrt{ {6}^{2} + {8}^{2} } \\ = 10[/tex]

So, third side is 10cm.

- BRAINLIEST answerer

Answer:

10

Step-by-step explanation:

[tex] {8}^{2} + {6}^{2} = {100}^{2 } [/tex]

[tex] \sqrt{100} = 10[/tex]

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!

Answers

Answer:

If y=10,

-2x-2y=-12

-2x-2(10)=-12

-2x-20=-12

-2x=-12+20

=8

x=-8÷2

=-4

Multiply and collect like terms: (7x2+8x+2)(−2x2−4x−5)

Answers

=32x^2-136x-144
The answer to this question^

find the quotient. (2^4x+4) ÷ (2^x+1)

Answers

Answer:

(16x/2^x+1) + (4/2^x+1

Step-by-step explanation:

the parentheses are there so you know the two arent beside each other

Which of the following equations is an example of inverse variation between
the variables x and y?
A. y = 12x
B. y =х
12
C. y= x + 12
D. y = 12
х

Answers

Answer:

The correct answer is option D

Step-by-step explanation:option A : y = x/12 ⇒ x = 12y (wrong option)

option B : y = 12/x ⇒ y * x = 12 (wrong option) and c will be equal 12

option C : y = x + 12 ⇒ not similar to the general form (wrong option)

option D : y = 12/x (corect option)( I meant to switch it around)

The general form of inverse variation between the variables x and y is as following:

where c is constant

So, the correct option is D

Evaluate N2 + 2N + 1 for N = 5.

51
36
21

Answers

Answer:

36

Step-by-step explanation:

N^2 + 2N + 1

Since we are given N = 5, we just substitute N for 5

(5)^2 + 2(5) + 1

25 + 10 + 1

36

Answer: 36

Step-by-step explanation:

5*5 + 5*2 +1 = 25 + 10 + 1 = 36

HELP HELP HELPPPP OMG

Answers

Answer:

hope it helps you.............!

Please help rn!!!!!!!!

Answers

Answer:

The correct answer is H: c=2A/h-b

Step-by-step explanation:

A=1/2(b+c)h

Multiply both sides by two: 2A=(b+c)h

Divide both sides by h: 2A/h=b+c

Subtract b: 2A/h+b=c

The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,834 and Lantana High school raised $4132. about how much more do they need to raise? Choose the best estimate.


1. 500
2. 2,000
3. 3000
4. they already raised enough money.

Answers

Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.

Step-by-step explanation:

You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!

I really hope that helps.

Round 54,843 to the nearest thousand.
I give brainliest

Answers

Answer:

55000

Step-by-step explanation:

Since you are in the thousands place, you need to look in the hundreds section. If it is 5 and above 5, you round up. If it is below 5, you round down.

A circle of 5 cm radius is drawn, and another circle 3 cm radius is drawn. What is the radius of a circle that has the same area as the bigger one excluding the cut one?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

Answers

Answer:

4 cm

Step-by-step explanation:

if 1 = 33 seconds how much would 1hour be?

Answers

it would be about 109 because since there is 3,600 seconds in a hour you would have to divide 3,600 by 33

Julie has a jewelry box shaped like a cube. The volume of the jewelry box is V cubic inches. Use this information to answer Questions 6 and 7. Write an expression that represents the edge length of Julie's jewelry box in inches.

Answers

Answer:

  s = ∛V

Step-by-step explanation:

The relationship between edge length (s) and volume (V) of cube is ...

  V = s³

Taking the cube root of both sides of this equation gives you an expression for the edge length:

  s = ∛V

_____

Additional comment

The units of s will be the cube root of the units of V. If V is in cubic inches, then s is in inches.

what are the first 4 multiples of 4.

Answers

Answer:

the first 4 multiples of 4

Multiples of 4: 4, 8, 12, 16,

Step-by-step explanation:

Answer:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Step-by-step explanation:

please mark as brainlist

pls help I have headache i try everything ​

Answers

Answer:

210 students

Step-by-step explanation:

30%=63

10%=63÷3

      =21

100%=21×10

        =210

Math is really difficult for my smooth brain

Answers

Answer:

77

try to multiply the 0.85 so u can find a suitable number for the dividend.

72 boxes out of 90 sold what percentage sold

Answers

Answer:

is what is the math thing at you need help with huh

Someone please help me

Answers

Answer:

,

Step-by-step explanation:

all work shown and pictured

Find the volume of the sphere. **30 points**
Either enter an exact answer in terms of pi or with 3.14
Radius=8

Answers

Answer:

The volume of the sphere is 2,143.57

Step-by-step explanation:

The formula for finding the volume of the sphere is

V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]

"r" represents the radius of the sphere. So put the value of it in the formula.

V = ([tex]\frac{4}{3}[/tex])(3.14)([tex]8^{3}[/tex])

V =  ([tex]\frac{4}{3}[/tex])(3.14)(512)

Multiply all of them and you will get:

2143.57333333 or 2,143.57 which is the volume of the sphere

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Which of the following represents 3 times the sum of 3and 8? Look at attached link Jackson drew an area model to find 1713 . Drag the partial product to each rectangle inthe area model.An array is made of A (10 by 10), B (10 by 3), C (7 by 10), and D (7 by 3).103=30710=701010=10073=21A B C D PLSSS HELP! IF CORRECT, WILL MARK BRAINLIEST Following the fusion of an egg cell and sperm cell, the resulting diploid cell divides by mitosis to create two new daughter cells. Each daughter cell contains pairs of chromosomes, with one set inherited from each parent.Which of the following best describes the pairs of chromosomes that are present in each newly formed daughter cell?Choose 1 answer:A) The pairs are homologous chromosomes that have the same set of genes, but likely different variations of those genes.B) The pairs are non-homologous chromosomes that contain different sets of genes.C) The pairs are homologous chromosomes that have identical copies of every gene. Write an equation in slope-intercept form for the line that has a slope of 5 and passes through the point (2, 30).A. Determine the y-interceptB. Write the equation of the line as soda gets warm, it goes flat. why? relate this to solubility. express 1 000 000 in standard form What is a percentage multiplyer 80% of __ is 16 help solve for y: 1/2(4y+6)=4-2(y-6)/3 Question 7 of 10Which of the following is not a technique for making a sentence fragment acomplete sentence?A. Converting the subordinate clause to a complete sentenceB. Adding and, but, or orC. Supplying the missing subjectD. Supplying the missing verbSUBMIT If p - 5q = 4qr,pfind the value of p whenq = 4 and r = -1. At the front gate, the travelers look out uponA. LaketownB.Mirkwood ForestC. the town of Dale thanksgiving escape room part of speech If an apple and 3 bananas cost $2.50, but 2 apples and 5 bananas cost $4.50, then how many dollars do 3 apples and 6 bananas cost? Find the Simple Linear Regression Formula of the data set shown below: (10pts)Where the monthly e-commerce sales is Y and online advertising costs X.Note: Round off your answers to two decimal places. No spaces in between characters.Example format for the Final answer: y=36.11x+23.22 [tex] \frac{5}{8} < \frac{3}{8} x - \frac{1}{4} [/tex]Solve the inequality and graph the solution. 7) f(x) = -x to the power of 2 -4 find f(1) Solve the inequality and enter your solution as an inequality3x < 12 question 6 please!