What is the polar form of Negative 9 StartRoot 3 EndRoot + 9 i?

Answers

Answer 1

Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

[tex]r=\sqrt{a^2+b^2}[/tex] and filling in:

[tex]r=\sqrt{(-9\sqrt{3})^2+(9)^2 }[/tex] (notice we do not put the i in there with the 9).

[tex]r=\sqrt{243+81}[/tex] so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

[tex]tan^{-1}(\frac{b}{a})[/tex] so filling that in, we have:

[tex]tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }[/tex] Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is [tex]\frac{5\pi}6}[/tex], so the polar form of that number is (18, [tex]\frac{5\pi}{6}[/tex])

Answer 2

Answer:

its d

Step-by-step explanation:

i guessed lol

What Is The Polar Form Of Negative 9 StartRoot 3 EndRoot + 9 I?

Related Questions

Divide using long division! Show your work. As soon as possible!

Answers

Answer:

Step-by-step explanation:

if you've any doubt just ask :)

A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?

Answers

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

What is trigonometric function?

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

https://brainly.com/question/22600237

#SPJ2

what is the solution of in(x-2)^2=6

Answers

Answer:

22.09

Step-by-step explanation:

Given the expression ln(x-2)^2=6

Take exponent of both sides

e^ln(x-2)^2=e^6

(x-2)² = e^6

(x-2)² = 403.43

x - 2 = √403.43

x - 2= 20.09

x = 20.09 + 2

x = 22.09

Hence the value of x is 22.09

Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?

Answers

Answer:

45ml

Step-by-step explanation:

10 kg needs 18mL

So, 1kg = 1.8ml

25kg needs = 1.8kg/ml x 25 kg

25 kg dog would need 45ml.

Answer:

45 ml

Step-by-step explanation:

Weight of the dog and quantity of medicine is in Direct proportion.

Let the quantity required for 25 Kg dog =x

10 : 18 :: 25 : x

Product of extremes = product of means

10 * x = 18 * 25

[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]

Help me! PLEASE! help help help help help help help help help help help help!!!!!!




Answers

Sara's results probably do have a higher mean, if we take into account how William is way more willing to pay 20 dollars. Honestly, I think you got your chosen answers right! Just my opinion, as someone inexperienced.

The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers

Answers

Answer:

34 and 36

Step-by-step explanation:    7  1  17   15

product of two consecutive even integer   x(x+2)      x is even

product of two consecutive even integer  x(x + 2) plus 36 equal 18(x +x + 2)

x(x+2) + 36 = 18(x +x +2)

x² + 2x + 36  = 18x + 18x + 36    36's cancel, 2x - 36x = -34x

x² - 34x = 0     solve for x

x( x - 34) = 0        x = 0 and 34    only 34 is an even number!

x = 34  and 36  

Work out the size of angle X

Answers

It’s 60 because both lines are parallel

CAN SOMEONE PLEASE HELP ME I'M STUCK. PLEASE
I don't understand and know how to solve it.

Answers

Answer:

7/10

Step-by-step explanation:

red + green = 50 + 20 = 70 marbles

Total marbles = 50 + 30 + 20 = 100 marbles

P(red or green) = 70/100

P(red or green) = 7/10

Tonya's dog walking service charges a flat rate of $20 per month, plus $3 Per mile that each dog is walked. Beth does not charge a monthly fee for her dog walking service, but she charges five dollars per mile that each dog is walked.
pls helppp!

Answers

Answer:

A) 20+3m = 5m

Step-by-step explanation:

20+3m = 5m

20 = 2m

m = 10

after each girl has walked dogs for 10 miles, their amount they charge would be equal

Tonya would charge: 20+3(10) = 20+30 or $50

Beth would charge: 5(10) or $50

pls help me i don't know what to do ​

Answers

Answer:

C

Step-by-step explanation:

the size of the steps gives you the number before x

and the -1 , +4 is just what left when x equals zero, so in the two tables we find it in row two

Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?

Answers

Answer:

1.42

Step-by-step explanation:

the sixth graders rasied money to fund a feild trip. the five classes raised $42, $51, $38, $49, and $40. what is the median on the ammount of money raised?

a. $36
b. $42
c. $40
d. $13

Answers

Answer; 38


Explanation: it is the number between 51 and 49

Answer:

The median is $42, or B.

Step-by-step explanation:

Our numbers are :

42, 51, 38, 49, and 40.

The first step to finding the median is ordering the numbers from least to greatest.

38, 40, 42, 49, 51.

Now we find the number perfectly in the middle - that's 42, between 49 and 40. The median is $42, or B.

Please mark brainliest!

HELP ASAP

Answers

Answer:

it think it is 26

Step-by-step explanation:

as angle on a straight line add up to 180

so 180-64-90=26

hope this helps :)

I need help with this question please

Answers

Answer:

angel BAC=CBD

BAC=43°because CBD also 43°

Bab isn’t big-brained enough for mafs. Help, please?

Answers

Answer: Arc

Explanation: An arc is a segment of a curve.
The answer is arc hope this helps

how do you do the probability section?

Answers

Step 1: Find the number for both the events in the question happening together. ...
Step 2: Divide your answer in step 1 by the total figure. ...
Step 3: Identify which event happened first (i.e. find the independent variable).

What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.

Answers

Answer:

1185 10/30 square feet

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length = 25 2/5 feet

width = 46 4/6

Substitute into the formula;

Area = 25 2/5 * 46 4/6

Area = 127/5 * 280/6

Area = 35,560/30

Area = 1185 10/30

Hence the area of the rectangle is 1185 10/30 square feet

Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?

Answers

Answer:

12/15

Step-by-step explanation:

if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15

Calculate the volume of a cone with: 11cm height and 6cm radius

Answers

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

Solve for x and show work

Answers

Answer:

6.14 rounded to the nearest hundreth.

Every paralelogram equals 360º. And every oppisite angle is eqaul to each other. So by doing the math we can tell the smaller angles is 80º. Now we solve for x.

80=7x+37 minus 37 from both sides

43=7x.   then divide both side by 7 to cancel it out

6.14=x that is the answer rounded

You can check by inputing x's vaule into the equation and getting the angle measurment we solved for which is 80º.

7(6.14)+37

by doing this you get 80, the measure of the angle so the vaule for x is 6.14 rounded to the nearest hundreth.

         

If 6 newborn babies are randomly selected, how many different gender sequences are possible?
a. 720
C. 12
b 36
d. 64

Answers

the answer that i got was 720 different sequence genders are possible if 6 new born babies are randomly selected

Answer:

D.64

Step-by-step explanation:

im not slow itz simple 2 to the power of 6

NEED HELP ASAP skajsjsjjajaja

Answers

Answer:

The answer is "3"

Step-by-step explanation:

[tex]\to f(7)=f(5 + 2)=1+f(5)\\\\\to f(5)=f(3+2)=1+f(3)\\\\\to f(3)=f(1+2)=1+f(1)=1+0=1\\\\[/tex]

Therefore

[tex]\to f(7)=1+f(5)=1+1+f(3)=2+1+f(1)=2+1+0=3[/tex]

An object is launched from a platform. its height in meters X seconds after the launch is modeled by h(x)=-5x^2+20x+60 how many seconds after launch Will the object land on the ground

Answers

Answer:

6 seconds after launch.

Step-by-step explanation:

You should make sure  there aren't odd symbols in your question when you post it.

Assuming it is just the equation -5x^2 + 20x + 60, if you graph it you can see the path of the ball.  at x=0 this is the starting point It then hits the ground when it touches the x axis.  So this is finding zeroes of a quadratic.

You could do this several ways; find a way to factor it, guess and check, the quadratic formula or completing the square.  I will complete the square as that is what I am most used to.  If you would like to see another let me know.

The first step in completing the square is making sure the x^2 has a coefficient of 1, so now it has -5 so we have to factor out -5 from the equation.

-5x^2+20x+60 = -5(x^2 - 4x - 12)

Now you only really need to focus on the factored expression, but I will continue writing everything.  The next step is to find (b/2)^2 where b is the coefficient of the x term.  In this case -4.  so (b/2)^2 = (-4/2)^2 = 4.

Again, focusing on x^2 - 4x - 12 you want to add and subtract (b/2)^2 from that expression.  since you are adding and subtracting you are not changing the value, but we can use this.

-5(x^2 - 4x - 12) = -5(x^2 - 4x - 12 + 4 - 4)

Here you want to rearrange it a bit.  Originally c was the constant term, -12, now you want it to be the positive (b/2)^2, which is positive 4. also you can combine the two other constant terms.  the original c and -(b/2)^2, but I will hold off for now so I don't do too much at once.

-5(x^2 - 4x - 12 + 4 - 4) = -5(x^2 - 4x + 4 - 12 - 4)

Now you focus on x^2 - 4x + 4.  Hope fully you recognize this is the same as (x-2)^2.  This always happens at this step of the process.  also notice -2 = b/2.  Using only variables here are the first steps.

ax^2 + bx + c

a(x^2 + (b/a)x + (c/a))

a(x^2 + (b/a)x + (c/a) + (b/(2a))^2 - (b/(2a)^2)

a(x^2 + (b/a)x + (b/(2a))^2 + (c/a) - (b/(2a))^2)

a((x + b/(2a))^2 + (c/a) - (b/(2a))^2)

Again, being able to make x^2 - 4x + 4 into (x-2)^2 or x^2 + (b/a)x + (b/(2a))^2 into (x + b/(2a))^2 willa lways happen.  this is because if you expand (x + b/(2a))^2 you always get x^2 + (b/a)x + (b/(2a))^2.

Now I would combine the -12-4

-5(x^2 - 4x + 4 - 12 - 4) = -5((x - 2)^2 - 12 - 4) = -5((x - 2)^2 - 16)

If you redistribute the -5 you get vertex form, but I am going to stop here  because I will just undo that in the next step.  So this is the form you want.  Finally we can find when it equals 0.  So, you set this equal to 0 and use algebra to solve.

-5((x - 2)^2 - 16) = 0

Divide both sides by -5

(x-2)^2 - 16 = 0

add 16 to both sides

(x-2)^2 = 16

Take the square root of both sides, but also count botht he positive and negative version of the answer.  the reason is both 2 and -2 squared get you 4.

x - 2 = +/-4

I am using +/- to indicate I am using both positive and negative 4.  Now though add 2 to both sides.  since you have +/- 4 you are going to get two different results.  -4+2 and 4+2

x = -2 and 6.

now, the question wants times after x=0 (the start) so you only get 6.  so x=6, or in other words 6 seconds after launch.

Let me know if you have any questions.

Answer:

6

Step-by-step explanation:

sorry no step by step explanation because I’m in a rush please mark me as brainliest bye have a great day !!! :D

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
Function r gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant
owner bought the rice.
Complete the table. Type the answers in the boxes below.
WEEKS
KILOGRAMS OF RICE LEFT
6
12

Answers

Answer:

6 weeks = 48 kg

12 weeks = 21 kg

Step-by-step explanation:

6 weeks:

4.5 x 6 = 27 kg

75 - 27 = 48 kg

12 weeks:

4.5 x 12 = 54 kg

75 - 54 = 21 kg

Hope this helps!

Find the volume of this shape

(17)

Answers

Answer:

84mm^3

Step-by-step explanation:

multiply 12 by 7

it’s be 1008 if u multiply 12^2 by 7

Which term is a perfect square of the root 3x^4

Answers

9x^8

lmk if this helped :)

Use the Fundamental Counting Principle to find the number of outcomes from tossing a quarter, a dime, and a nickel. ​

Answers

Answer:

aaaaaaaaacvvrcgb

got it wrong help a girl out please thank you

Answers

Its 70. S and u are equal, and the total of all angles in a quadrilateral is 360. So 80 x 2 + 130 - 360 = T

Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

Te diagonal of a kite will form a parallelogram.

explanation:

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

hope it helps

Mark me as brainlist

SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.

Answers

Answer:

201.06

Step-by-step explanation:

A=2πrh+2πr2

201.06



Hope it is correct
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