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liberstina [14]
3 years ago
5

True or False: The value of r represents the reference angle when plotting a point in polar coordinates.

Mathematics
2 answers:
Anarel [89]3 years ago
8 0
The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by <em>t.</em>
amid [387]3 years ago
3 0

Answer:

False

Step-by-step explanation:

In cartesian coordinates, we represents a point as (x,y).

Whereas, in polar coordinates, we represent a point as (r,\theta)

Here,

r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})

The term r is the radial distance from origin and the angle Ф is the polar angle.

Therefore, the term r doesn't represent the reference angle when plotting a point in polar coordinates.

Hence, the given statement is false.

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What is the solution to the following system of equations?
ICE Princess25 [194]

Answer: B. (-6, 5)

Step-by-step explanation:

3 0
3 years ago
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Homer's annual salary is $74,308. If he works all 52 weeks a year, how much is he paid each week?
ryzh [129]

Answer:

Step-by-step explanation:

You need to divide 74308 divided by 52 which equals 1429.

8 0
3 years ago
Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi
ANEK [815]

Answer:

They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

5x+4y=38\ \ \ \ \ equation\ 1

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

4x+2y=28\ \ \ \ \ equation\2

Now multiplying equation 2 by '2', we get;

2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3

Now we subtract equation 1 from equation 3 and get;

(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6

Now substituting the value of 'x' in equation 1, we get;

5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2

Hence They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

8 0
3 years ago
Solving by elimination <br> -6x+6y=6 -6x+3y=-12
labwork [276]
So elimination method is basically adding the equations and canceling out variables. 
-6x + 6y = 6
-6x + 3y = -12
The eaiest way to solve is by multiplying the bottom equation by -1.
-6x + 6y = 6
 6x - 3y = 12
Now you add the eqautions.
3y = 18
Divde 3 from both sides.
y = 6
Now plug in 6 into any of the original two equations. Lets use the first one.
-6x + 6(6) = 6
-6x + 36 = 6
Subtract 36 from both sides.
-6x = -30
Divide -6 from both sides.
x = 5
So your solution is (5, 6).
I hope this helps love! :)
8 0
3 years ago
Which of the following is true of the data represented by the box plot
zmey [24]

Answer:

The data is skewed to the bottom and contains an outlier.  

Step-by-step explanation:

1. Test for outlier

An outlier is a point that is more than 1.5IQR below Q1 or above Q3.  

IQR = Q3 - Q1 = 74 - 51 = 23

1.5 IQR  = 1.5 × 23 = 34.5

51 - 15 = 36 > 1.5IQR

The point at 15 is an outlier.

2. Test for normal distribution

The median is not in the middle of the box.  

Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.

3. Test for skewness

The longer part is to the left of the median, so the data is skewed left.

 

4 0
3 years ago
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