Mathematics High School

What is the polar form of -9-9i√3?

Answers

Answer 1

Answer:

18(cos(4pi/3) + i sin(4pi/3))

Step-by-step explanation:

step 1: find the modulus (|z|=√(a^2 + b^2)

|z|=√((-9)^2+(-9√3)^2)= 81+243= 324 => √324=18

step 2: find the argument using theta =tan^-1 (y/x)

theta=tan^-1((-9√3)/-9) = √3

the tangent value of √3 in the third quadrant has the degree measure of 240 and the radian measure of 4pi/3.

Now put them together!

Answer 2

Answer:

Step-by-step explanation:

Ed2021

Related Questions

A pulley rotates through 107° in one minute. How many rotations does the pulley make in an hour!
The pulley makes rotations per hour.
(Simplify your answer. Round to the nearest whole number.)

Answers

Answer:

18 rotations.

Step-by-step explanation:

As there are 360 degrees in a circle, by proportion, the time for 1 rotation

= (360/107) * 1

= 3.364 minutes.

So the number of rotations in 1 hour (60 minutes)

= 60 / 3.364

= 17.83

Number of rotations does the pulley make in an hour is 18.

Here,

A pulley rotates through 107° in one minute.

What is rotations?

The action or process of rotating on or as if on an axis or center.

Now,

As there are 360° in a circle, by proportion;

Time for one rotation = (360/107) x 1

= 3.364 minutes

Hence, number of rotations in 1 hour

= 60 / 3.364

= 17.83

So, Number of rotations does the pulley make in an hour is 18.

Learn more about the Rotations visit:

https://brainly.in/question/39626227

#SPJ2

Look at pictureeeee look at picture

Answers

Answer:

The answer in decimal form is 18.9 so if you convert it to a fraction, the correct answer should be 8 9/10.

Rewrite the fraction in the sentence below as a percentage. In 2002, a popular company made 11/20 of its money online.

Answers

Answer:

55%

Step-by-step explanation:

11/20 = 0.55

0.55 = 55%

A catapult’s lever holds a cannonball. The lever is attached to a tightly held rope. When the rope is released, the lever springs forward and launches the cannonball. When the rope is held tightly, which form of energy does it possess?

Answers

Answer:

elastic

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm also struggling this problem too

Answers

Answer:

21 6

7 2

14 4

Step-by-step explanation:

not sure |•-•|

It would be 7=2 because 21/5=3.5 and 7/x=3.5 would be 2
14=4 because x/4=3.5 is 14

Hope this helps

Have a great day/night

PLEASE ANSWER< WILL GIVE BRAINLY TO BEST ANSWER!?

Answers

Answer: D is the correct answer.

Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side and answer D does exactly that because 2.6 + 8.1 =10.7 which is greater than the third side which would be 10.2.

I NEED HELPPPPPPPPPPPPPPP

Answers

It should be either A or B but I can’t figure it out from there, it at least slims down your choices

How much of the circle is shaded? Write your answer as a fraction in simplest form.
3/7 and 1/4

Answers

Answer: 19/28

Step-by-step explanation:

3/7 + 1/4

Find the LCM for 7 and 4

12/28 + 7/28 = 19/28

May I plz get some help plz

Answers

Step-by-step explanation:

5x +10° + 58° = 11x + 2°( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

5x + 68° = 11x + 2°

11x - 5x = 68° - 2°

6x = 66°

x = 66° / 6

Therefore x = 11°

Hope it will help you :)

Gym A charges a $70 sign-up fee and an additional $20 per month. Gym B only charges a $10 sign-up fee, but charges
a $40 monthly membership fee.

Answers

Answer:

What ismthe question lol

MARKING BRAINLIEST ❤️
(PLZ HELP ACTUALLY...)

An electrician charges $15.00 per hour for an electrical job that requires more
than 4 hours to complete. For any job requiring 4 hours or less, there is a flat
charge of $50.75. If x represents the number of hours the job requires, write
an expression that gives the charge, in dollars, for a job requiring more than 3
hours to complete.

Answers

$50.75 + ($15.00)x
Plz mark brainliest :)

50.75 + 654 then you will have your answer

It is estimated that 26% of the population of Gingerland have red hair. If 10 residents are chosen at random, what is the probability that... (assume each person is independent)
a) exactly 4 of them have red hair?

b) less than 5 of them have red hair?

c) at least one of them has red hair?

d) What is the expected (mean) number of people you will find with red hair in this group of 10?

Answers

Answer:

The answer for me would be a) exactly 4 of them have red hair

Step-by-step explanation:

being that there is 26 percent of people in Gingerland that gave red hair I cam assume that that is a lot of people being that Gingelrand is like a city/town so exactly 4 of them is what I assume is the amswer

how do I find the slope of a line from a table graph

Answers

Step-by-step explanation:

slope is the rise over run

rise= X

run= Y

X/Y = slope

6. Write the equation for the two functions and
compare the rates of change.
Function C
Function D
y
The Used Book
Store will pay $0.50
for each box of
hardcover books.
--2
4
0
2
4

Answers

Answer:

the photo is blank for me

Step-by-step explanation:

Which number line shows the solution of 4x - 36 <-12?

Answers

B is your answer plz mark brainlyest

Answer: Other guy is right.

Step-by-step explanation:

Tell which number is greater.

37/50, 37%

Answers

Answer:

37/50

Step-by-step explanation:

because 37% is out of 100

Answer:

37/50

Step-by-step explanation:

as 37% means 37/100, when 37 is divided by a smaller number such as 50, the result will be greater.

Please help 16 points due tomorrow

Answers

Answer:

1) 26.1% increase

2) 20% decrease

Work:

-subtract the larger # from the smaller # to figure out what the change was.

[tex]8.8 - 6.5 = 2.3[/tex]

-divide 2.3 by the orriginal ammount (8.8) to find your answer as a decimal

[tex]2.3 \div 8.8 = 0.261[/tex]

-take 0.261 and multiply it by 100 to have your answer as a percent

[tex]0.2614 \times 100 = 26.1[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

-subtract the larger # from the smaller # to figure out what the change was.

[tex]15 - 12 = 3[/tex]

-divide 2.3 by the orriginal ammount (15) to find your answer as a decimal

[tex]3 \div 15 = 0.2[/tex]

-take 0.2 and multiply it by 100 to have your answer as a percent

[tex]0.2 \times 100 = 20[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

a half of 48 divided by6multiplied by4 plus 3 minus 2

Answers

Answer:

Step-by-step explanation:

follow the order of operations (PEMDAS): half of 48 is 24

24 / 6 = 4

4 x 4 = 16

16 + 3 = 19

19 - 2 = 17

Answer:

Step-by-step explanation:

half of 48 is 24

24 divided by 6 is 4

4× 4= 16

16+3= 19

19-2=17

Find the missing angles.
10°
55°
LO
x=
y =
Z=
o
X=
0
y=
o
Z=

Answers

Step-by-step explanation:

x = 90- 55 = 35

y = 180- x

y= 180 - 35 = 145

z =180- (y +10)

z = 180 - (145 +10)

z = 180-155

z = 25

Please gimme brainliest

Sorry, but can someone PLEASE help me Change 2 3/16 to an exact decimal. I'll give you 15 points

Answers

2.1875

If you divide your numerator and denominator you’ll get 0.1875. Add the integer to it and you’ll get 2.1875. So, 2 3/16 = 2.1875.

I hope this helps!

Answer:

2.1875

Step-by-step explanation:

2 3/16 to decimal form is 2.1875.

Plz help answer these questions

Answers

Answer:

Step-by-step explanation:

If you download Socratic it give u all the answers for free

Can some people of brainly do this stuff for my little cousin i dont know what i'm doing.

Answers

Answer:

21=1 x 21

21=3 x 7

Step-by-step explanation:

pls mark brainliest to help rank :)

1) 1

2) 7

i hope you understand

Sally wants to save for a new cell phone. She opens a bank account with $40 and adds $20 each week. Which of the following equations can be used to determine how much she has after ‘w’ weeks?

Answers

Answer:

T = 50 + 30w

Step-by-step explanation:

Hope this helps :)

Answer:

T = 40 + 20w

Step-by-step explanation:

The initial amount is 50 and the rate per week is 30.

Answer with explanation please. Thank youuu

Answers

Step-by-step explanation:

67-35= 32...do it along the number line dude

18x -1 (-3x + 9) distributing a negative number (plz I need help I need to get this done ASAP)

Answers

Answer:

18−1(−3x+9) 18+3−9

Step-by-step explanation:

Answer:

-54x+156

I dunno if it's correct

why is it not showing the graph

Answers

Answer:

I think you need to upload an image of the graph you can screenshot it

Step-by-step explanation:

A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 4 dollars less than the cost of a hardback book. Recently, one day of sales totaled $1065.10. That day the bookstore sold 51 paperback books and 47 hardback books. Write a system representing this situation. Use the graph to estimate the solution of the system. What does the solution mean in this situation? How much does each type of book cost? Use substitution to verify your solution.

Answers

Answer: for one hard cover book it is about $17 and paperback is $13

Step-by-step explanation:

Can someone help me with this I tried everything

Answers

Answer:

x < 11

Step-by-step explanation:

2x - 22 = 2 • (x - 11)

Divide both sides by 2

Add 11 to both sides

so your answer is

x < 11

PLEASE HELP! it’s would be really appreciated

Answers

Answer:

46 degrees

Step-by-step explanation:

180 - 102 - 32 equals to 46

please help me find the longest side in triangle ABC

Answers

Answer:

The longest side is B

Step-by-step explanation:

(A) 3x+28= 31x

(B) 5x+52=57x

the correct letter would be B

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