i dont really know how to do this can somebody help?

I Dont Really Know How To Do This Can Somebody Help?

Answers

Answer 1

Answer:

(8, 11π/6)

Step-by-step explanation:

r= √(4√3)²+(-4)² = √48+16=√64=8

0 = tan~¹ -4/(4√3)

= tan~¹ -⅓√3 = 330° = 11π/6

the polar coord. => (8, 11π/6)

Answer 2

9514 1404 393

Answer:

  8∠11π/6

Step-by-step explanation:

To simplify the way we talk of this number, we will refer to it as a vector. We'll assume its head is at the given coordinates, and its tail is at the origin. The magnitude of the vector is the root of the sum of the squares of its components:

  [tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(4\sqrt{3})^2+(-4)^2}=\sqrt{48+16}=\sqrt{64}\\\\r=8[/tex]

The angle of the vector with respect to the +x axis is ...

  [tex]\theta=\arctan{\dfrac{y}{x}}\qquad\text{a 4-quadrant arctangent}\\\\\theta=\arctan{\dfrac{-4}{4\sqrt{3}}}=-\arctan{\dfrac{1}{\sqrt{3}}}\qquad\text{a 4th-quadrant angle}\\\\\theta=\dfrac{11\pi}{6}[/tex]

In magnitude∠angle notation, the polar coordinates are ...

  (4√3, -4)  ⇔  8∠(11π/6) . . . . . θ in radians

_____

Additional comment

Spreadsheets generally have an ATAN2(x, y) function that will return a 4-quadrant version of the angle. The usual ATAN( ) function will give the angle only in quadrants I or IV.

Some graphing calculators may also have the ATAN2 function. Some will simply do the entire conversion for you, without any need to deal separately with magnitude and angle. (You may need to write the number as a complex number, x +iy.)


Related Questions

Questions
The distances covered by each of two runners during the first 21 minutes of a race are
shown in the graph below. The time at which one runner passes the other is between

(A 2 minutes and 3 minutes
(B 6 minutes and 9 minutes
(C 9 minutes and 12 minutes
(D 18 minutes and 21 minutes

Answers

Answer: 9 minutes and 12 minutes

Step-by-step explanation:

there are 420 students in a school 1/3 if the population is made up of girl​

Answers

there would be 140 girls & 280 boys

evaluate -5/z for z=5

Answers

Answer:-5/z ; z=5 solution -1

Step-by-step explanation:

-5/5



The distance from Kevin's home to his school is 2 kilometers. Adrian lives 750
meters from the same school. How much closer does Adrian live to school than
Kevin?
1>) 250 meters
1>) 550 meters
» 1,250 meters
2,750 meters

Answers

Answer:

see my explanation!!

Step-by-step explanation:

2000-750=1250m

If anyone could help it would be great

Answers

Answer:

See the picture

Step-by-step explanation:

Solved, green filled arrows in the picture

In a math class with 20 students, a test was given the same day that an assignment was due. There were 11 students who passed the test and 15 students who completed the assignment. There were 9 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class failed the test and did not complete the homework?

Answers

Answer: 3/20 or .15

Step-by-step explanation:

Can someone please help and explain how to use the Pythagorean Theorem to prove a triangle is a right triangle.

Answers

Hi there!

For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2

And then find the root of the hypotenuse.

For example,

15^2 + 8^2 = the hypotenuse^2

Which equals, 225 + 64 = 289

Square root of 289 = 17

Please mark me brainliest if this helps!

Have a wonderful day!

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEE HELPPPP PLEASEEEEE PLEASEEEEE SOEMONE HELPPPP PLEASEEEEEEEEEEEEEEEEEEEE​

Answers

Answer:

8 nachos and 5 hot dogs

Step-by-step explanation:

Let x equal number of nachos

let y equal number of how dogs

1.5x + 2y = 22

x + y = 13

y = 13 - x

1.5x + 2(13 - x) = 22

1.5x + 26 - 2x = 22

1.5x - 2x = 22 - 26

-0.5x = - 4

x = -4/-0.5

x = 8

y = 13 - x

y = 13 - 8

y = 5

PLEASE HELP (failing this class and this is a 100 point assignment) (i mark brainlist)

Answers

The answer is the third option

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams

Answers

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

A boy collects a total of 316 stamps, sticker and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?​

Answers

Answer:

216 stamps

Step-by-step explanation:

Stamps =4x

stickers=x

coins=46

4x+x+46=316 (stamps, stickers and coins)

5x=270

x=54 (stickers)

4x=stamps

4(54)=stamps

216=stamps

check answer

54 (stickers)+216(stamps)+46 (coins)=316

316=316

pls help!! Need the answer asap!!

Answers

Step-by-step explanation:

19+k=90°

k=90-17

k=71°

stay safe healthy and happy .
As you can see, that Angle AOC is 90°,19°+k = 90°k = 90°-19°k = 71°,Option (B) is correct. HOPE IT HELPS YOU!!!

II. Write whether each number is an EXPRESSION or an EQUATION.
11.
2 + 5
12.
2 + 5 = 7
Ć XLN13.
4x = 12
14.
X + 25
15.
16-6 = 10​

Answers

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Find the simple interest on an investment of $3500 for 2.5 years at
5.5% per annum.
$428.52
$482.52
$418.25
$481.25

Answers

Answer:

$481.25

Step-by-step explanation:

The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is

i = ($3500.00)(0.055)(2.5 yr), or

i = $481.25

Please help meeeeeeee

Answers

Answer:

5040

Step-by-step explanation:

This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.

In the problem mentioned given

Word : Musical

number of words = 7 (all the words are different)

Number of ways to arrange it = 7!

7*6*5*4*3*2*1 = 5040

Hence 5040 is the answer!

5,040. This is the only logical answer because it has to do with probability.

In this case, you would do 7x6x5x4x3x2x1. all positive numbers after 7. So your answer in that comes out to 5,040.

Hope this helps!

Can someone help to show the steps and answer the question in the image please?

Answers

Answer:

B

Step-by-step explanation:

You just need to find the volumes of both container and soap and divide them. So;

Volume of Soap = 15cm * 8cm * 6cm = 720 cm^3

Volume of Container = 165cm * 40cm * 96cm = 633600 cm^3

Dividing them gives = 633600 cm^3 / 720 cm^3 = 880

Answer is B.  

Which factorization is equivalent to this expression?
−20x − 5y

Answers

Answer:

[tex] - 20x - 5y \\ - (20x + 5y) \\ = - 5(4x + y)[/tex]

-5(4x+y) is the answer ahfjdndickdndndjdjsnsndndnd

can anyone help me with this?

Answers

Answer:

120 degrees is x

Step-by-step explanation:

because both are equal angles

btw nice Pikachu meme

Need help with this math question 15 points

Answers

C is the answer for the question

Round 893.38 to the nearest tenth

Answers

The answer would be 893.4

Help me on this question please. Thx

Answers

The trapezoid was translated Right 6 ,down 5

Problem Solving
Find the exact solution of each equation for 0 and greater than or equal to q and less than 2pi.
4 cos^2q=3

Answers

2> pi which means that it’s will be greater

Brody deposited $500 into an account that earns 4.2% interest compounded annually. He makes no additional deposits and no withdrawals. How much interest will the account have earned after 7 years?
A $167
B $420
C $542
D $665

Explain correctly. No nonsense, please.

Thank you

Answers

The answer is A $ 167

I=pr^t-p
I=500(104.2/100)^7-500
I=500(1.042^7-1)
I=$167.00 to nearest dollar

A desktop is shaped like a semicircle with a diameter of 28 what is the area of the desktop?

Answers

Answer:

307.72

Step-by-step explanation:

if the diameter is 28 then the radius is 14 (half of the diameter)

15 POINTS. Ronna is estimating the amount of a 15% tip for a $20.36 bill. Her friend Suri said that $2 is a good estimate. Do you agree? Explain.

Answers

Hi

It's not a good estimation.  2 is  10% of  20, so 5% is 1 dollar.  

As the bill is  above  20, and  15 =  10+5  , so   15% is at least more than 3.

So 3 would be a better estimation.  

In fact, 15% of 20.36  is :  20.36 *0.15 = 3.054

For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

Answers

Answer:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{7}{2}x - 16[/tex]

Required

The difference quotient for h

The difference quotient is calculated as:

[tex]\frac{f(x + h) - f(x)}{ h}[/tex]

Calculate f(x + h)

[tex]f(x) = \frac{7}{2}x - 16[/tex]

[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]

[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]

The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]

Collect like terms

[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]

So, we have:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]

Rewrite as:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Answer:

It is A.

Step-by-step explanation:

Just took the test

QUICK!! GIVING BRAINLIEST TO CORRECT ANSWER QUICK!!

Answers

Answer:

Im fairly sure it is 45ft^3

Answer:

[tex]45ft^{2}[/tex]

Step-by-step explanation:

V=L*W*H

Which numbers are irrational? Select all that apply.

Answers

option 1, 2, & 4 are irrational numbers

Answer:

I believe Option 1, 2 and 4 are all irrational numbers Hope this helps

Step-by-step explanation:

Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.

Answers

Answer:

40%

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

P = 8/20 = 0.4 = 40%

If you know how to solve this, Please answer it. Thank You

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!​​

Answers

y = ( x + 9 )^2 - 2

................................

................................

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