What is the rectangular form of the polar equation?

What Is The Rectangular Form Of The Polar Equation?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

r - rcosθ = 6

r - x = 6

r = 6 + x

r² = (6 + x)²

x² + y² = 36 + x² + 12x

y² = 36 + 12x

12x = y² - 36

x = y²/12 - 3

That is C


Related Questions

There are 300 students in the 6th grade. The ratio of students who play an instrument to all students is 2:5. Hou
many people in 6th grade play an instrument?

Answers

Answer:

120 students

Step-by-step explanation:

By setting up the equation 2/5=x/300, we can cross cancel, changing the equation into 5x=600, and by dividing both sides by 5, the 5 in 5x cancels out and 600 divided by 5 is 120.

You estimate that there are 52 marbles in a jar. The actual amount is 88 marbles. Find the percent error. Round to the nearest
tenth of a percent if necessary.

Answers

Answer:

We know that there are total 12 marbles are not there because 48-36=12. Now, I take:

12÷48=0.25 or 25%. As a result, the percent error is 25%. Hope it helps!

Step-by-step explanation:

The percentage error is 40.9%.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the estimated value is 52 and the actual value is 88.

The percent error is given

error% = (|estimated - actual|)/actual × 100 %

error% = (|52 - 88|)/88 × 100 %

error% = 40.9%

Hence, the percentage error is 40.9%.

Learn more on percentages here:

https://brainly.com/question/14979505

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What is the median of this data set? {29, 22, 23, 31, 29, 29, 22, 23} Enter your answer in the box.

Answers

Answer:

The median is 26

Step-by-step explanation:

A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)

Answer:

The answer is 26 hope this helps:DD

Step-by-step explanation:

Answer for: K12 5.03 Quiz: Median

A teacher asks four students the question, “Can a triangle have more than one right angle, and why?” The table lists the students’ responses.

Answers

Considering the sum of the internal angles of a triangle, it is found that the correct student is Paige.

What is the sum of the internal angles of a triangle?

The sum of the three internal angles of a triangle is of 180º, and none of the angles can be zero.

Hence, a triangle can have at most one right angle(angle of 90º), and researching the question on the internet, the student who states this is Paige.

More can be learned about the sum of the internal angles of a triangle at https://brainly.com/question/25215131

help me ASAP...

no links

Answers

Answer:

2 , 3 , 1 , 4

Step-by-step explanation:

Best way to convert fractions to decimals without a calculator is to look at denominator.

divide 100 by the denominator.

take your answer and multiply the numerator by that number.

put a decimal in front of answer

example : [tex]\frac{7}{20}[/tex]

100 divided by 20 is 5

5 times 7 is 35

place a decimal in front of answer

.35

If you answer my question, you will get points

What is the second smallest prime number

Answers

Answer:

3

Step-by-step explanation:

3 is the second smallest prime number.

The second smallest prime number is 3

What are prime numbers:

 ⇒ numbers that are divisible only by itself and '1'

    ⇒thus they are numbers that have exactly two factors, itself and one

The first prime number is 2, not 1, because 1 doesn't have two factors. Thus, the second prime number is 3.

Hope that helps!

A large random sample was taken of body temperatures of women at a university. The data from the sample were normally distributed with a mean body temperature of
98.52°F and a standard deviation of 0.727°F. Based on this sample, which percentage is the best estimate of the proportion of all women at this university who have a body
temperature more than 2 standard deviations above the mean?

Answers

About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.

What is the empirical rule?

Empirical rule states that for a normal distribution, about 68% of the values fall within one standard deviation from the mean, 95% of the values fall within two standard deviation from the mean and 99.7% of the values fall within three standard deviation from the mean.

Amount that have more than 2 standard deviations above the mean = (100% - 95%) / 2 = 2.5%

About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.

Find out more on empirical rule at: https://brainly.com/question/10093236

A restaurant will select 1 card from a bowl to win a free lunch. Jimmy puts 10 cards in the bowl. The bowl has a total of 150 cards in it when they do the drawing. What are the odds of Jimmy winning a free lunch?

Answers

Out of 150 cards, 10 of those are Jimmy's -> The probability of Jimmy winning a free lunch is 10 : 150 = 10/150 (simplified as 1/15)

Help on this math question it'd the last one : ))

Answers

Answer:

70 [tex]ft^{3}[/tex]

Step-by-step explanation:

B = l x w

B = 2.5 x 7

B = 17.5

V = Bh

V = 17.5(4)

V  = 70

units are cubed for volume

Its easier to multiply the 3 number and get the answer instead of doing multiple steps

How many years will it take Mr. Arnold to make $600 in interest if he invested $729 at a 5.8% interest rate? Round to the nearest whole year.

Answers

Answer:

15 years

Step-by-step explanation:

what is the area of this shape? the answer isn't 92 cm squared

Answers

Answer:

80cm^2

Explanation:

Okay to do this, it's often better to find the area of each shape separately.

Let's start with the top rectangle:

4cm*7cm = 28cm^2

Bottom rectangle:

to find the length of it, we just add 3cm and 7cm which = 10cm

so:

10cm*4cm = 40cm^2

And finally the triangle:

to find the bottom side: 13cm - 7cm - 3cm = 3cm

to find the height: 4cm + 4cm = 8cm

so:

8cm*3cm*/2 = 24cm/2

= 12cm^2

Now we add them all up:

28 + 40 + 12 = 80cm^2

Answer:

Corrected Question:

[ Refer to the above attachment ]

Solution:

In the given figure there are two shapes:

A RectangleA Triangle

First, we have to find the area of Rectangle ABGF & DCGE. After that, area of triangle CHB.

1) Area of Rectangle ABGF:

As, we know:

Formula for Area :-

★ Length × Breadth ★

where,

Length = FA = 4cm Breadth = GF = 10cm ( 7+3 )

➝ 4 cm × 10 cm

➝ 40 cm²

Hence, the area of Rectangle ABGF is 40cm².

2) Area of Rectangle DCGE:

As, we know:

Formula for Area :-

★ Length × Breadth ★

where,

Length = ED = 4cm Breadth = DC = 7cm

➝ 4 cm × 7 cm

➝ 28 cm²

Hence, the area of Rectangle DCGE is 28cm².

3) Area of Triangle CHB:

As, we know:

Formula for Area :-

★ ½ ( base × height ) ★

where,

Base = 3cm Height = 8cm

➝ ½ ( 3cm × 8cm )

➝ ½ ( 24cm )

➝ ½ × 24cm

➝ 12 cm²

Hence the Area of Triangle CHB is 12cm².

Now, Area of Given Shape is:

➝ 40cm² + 28cm² + 12cm²

➝ 52cm² + 28cm²

➝ 80cm²

Thus, the area of the given shape is 80cm².

____________________Additional Information:

[ Formula's for Area ]

★ Square = (Side)²

★ Rectangle = Length × Breadth

★ Triangle = ½bh

★ Circle = πr²

Of the 175 students in the auditorium, 140
were wearing headphones. What percent
were wearing headphones? PLS HELP ME 30 POINTS with explanation

Answers

Answer: 234

Step-by-step explanation: by getting the 175 and multiple them to get 234 if you percent the area of 140 to put together.

Answer:

Step-by-step explanation:

[tex]Percentage=\dfrac{number \ of \ students \ wearing \ headphones}{Total \ students}*100\\\\\\=\dfrac{140}{175}*100\\\\\\= \dfrac{140}{7}*4\\\\\\=20*4\\\\[/tex]

= 80%

8 7/10 - 3 4/10
pls help im so behind​

Answers

Answer:

8 7/10 - 3 4/10 = 5.3, 5 3/10, or 53/10

5.3, 5 3/10, and 53/10 all equals to 8 7/10 - 3 4/10 :)

Step-by-step explanation:

Answer:

thats wrong bother dont lisen

Step-by-step explanation:

WORKS
8 A luxury mansion has a semicircular stencilled concrete drive that is 3.0 m wide. The inside radius is 17.0 m
and the outside radius is 20.0 m. How many metres of edge board would be required to form the drive?

Answers

Considering the circumference of the circles, it is found that 18.9 metres of edge board would be required to form the drive.

What is the circumference of a circle?

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex]

In this problem, considering that the outside radius is 20.0 m and the inside radius if of 17.0 m, the drive has a radius of r = 3 m, hence:

[tex]C = 2\pi r[/tex]

[tex]C = 2\pi \times 3[/tex]

[tex]C = 6\pi[/tex]

[tex]C = 18.9[/tex]

18.9 metres of edge board would be required to form the drive.

More can be learned about the circumference of a circle at https://brainly.com/question/25846963



The figure below is made up of a regular polygon surrounded by identical triangles. Find the area of the figure.


Answers

Answer:

Total area = 937.75

Step-by-step explanation:

Area of triangles = ((b*h)/2) * 5

= (12*23/2) * 5

= 138 * 5

Area of triangles = 690

Area of pentagon = a² * √(25 + 10√5) / 4

= 12^2 * √(25 + 10√5) / 4

Area of pentagon = 247.75

Total area = Area of triangles + Area of pentagon

Total area = 937.75

Which expression is a quadratic binomial?

2x4+9x2−6x−1

3x4−2x

7x²

x2−9x

Answers

Answer:

x2-9x is a quadratic binomial. :)

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 The truck is transporting 60 large boxes and 55 small boxes. If the truck is carrying a total of 4050 pounds in boxes, how much does each type of box weigh?

Answers

Step-by-step explanation:

x = weight of a small box

y = weight of a large box

x + y = 70 pounds

55x + 60y = 4050 pounds

from the first equation we get

x = 70 - y

and we can use that identity in the second equation :

55(70 - y) + 60y = 4050

3,850 - 55y + 60y = 4050

5y = 200

y = 40 pounds

x = 70 - y = 70 - 40 = 30 pounds

so, a small box weighs 30 pounds, and a large box weighs 40 pounds.

What is the mean of the data set? O 5 6 07 O 8 errrrrrrrrggggg​ please I will give you brainliest

Answers

Answer: 7

Step-by-step explanation:

The sum of the values is 63, and there are 9 values. Since mean=(sum of values)/(number of values), we get 63/9 = 7.

Solve for d.

d/9 = 27


d = 243

d = 3

d = 36

d = 18

Answers

Answer:

d=243

Step-by-step explanation:

[tex] \frac{d}{9} = 27[/tex]

Multiply both sides by 9

D= 243.

To test it:

[tex] \frac{243}{9} = 27[/tex]

Calculator verifys it.

Hope that helped ;)

A rectangle has vertices (8,6), (4, 6),
(8,-4), and (4,-4). What are the
coordinates after dilating from the origin
by a scale factor of 1.5?

Answers

Answer:

  the dilated coordinates are (12, 9), (6, 9), (12, -6), (6, -6)

Step-by-step explanation:

The dilation factor multiplies each coordinate value when the center is the origin.

__

  (8, 6) ⇒ 1.5(8, 6) = (12, 9)

  (4, 6) ⇒ 1.5(4, 6) = (6, 9)

  (8, -4) ⇒ 1.5(8, -4) = (12, -6)

  (4, -4) ⇒ 1.5(4, -4) = (6, -6)

Please answer the question in the picture

Will mark brainliest

Answers

Answer:

d the last one

Step-by-step explanation:

The answer is (-1.3)

4. Is the following relation a function? (2 points)

X Y
-1 -2
2 3
3 1
6 -2

O Yes
O No

Answers

Function Definition

A function is a relation in which there is only one y-value for every x-value.

For every 1 input, we only get 1 output.

Answer

Every value of x produces a single value of y.

Therefore, this relation is a function.

PLEASE ANSWER FAST
What is the GPE of a 10 kg howler monkey sitting on a branch 20 m above the ground?


A. 4000 J

B. 1960 J

C. 0 J

D. 200 J

Answers

Answer:

The answer is letter D. 200 J

Question 8 of 10
Find the solution(s) to 2x2 - 7x+3 = 0. Check all that apply.
A. X= -3
B. x = 2
c. x=-1
OD. X = 3
E. x= }
SUBMIT

Answers

Answer:

A. 42

B. -3

C. 12

D. 0

D is the answer

Step-by-step explanation:

2x² - 7x + 3

A.

2(-3)² - 7(-3) + 3

18 + 21 + 3 = 42

B.

2(2)² - 7(2) + 3

8 - 14 + 3 = -3

C.

2(-1)² - 7(-1) + 3

2 + 7 + 3 = 12

D.

2(3)² - 7(3) + 3

18 - 21 + 3 = 0

I'm not sure what E is, sorry about that. I hope this helped!

I need someone to find the answer this question involves mathematics and paper

no links that you

Answers

the second one because i solved it

Answer:

[A] 3 1/2

Step-by-step explanation:

[tex]\mathrm{Given}[/tex]

[tex]4\frac{5}{8}-1\frac{1}{8}[/tex]

[tex]\mathrm{Subtract\;Whole\;numbers}[/tex]

[tex]4-1=3[/tex]

[tex]\mathrm{Combine\;fractions}[/tex]

[tex]\frac{5}{8}-\frac{1}{8}=\frac{4}{8}=\frac{1}{2}[/tex]

[tex]=3+\frac{1}{2}[/tex]

[tex]=3\frac{1}{2}[/tex]

Hence, the answer is [A] 3 1/2

~Lenvy~

4) height = 18 in; radius = 12 in
=
=
Volume=

Answers

Answer:

the answer is 13yd

Step-by-step explanation:

you have to devide and have to mutlpy

Given quadrilateral ABCD with vertices A (1,1), B (5,2), C (8, -6), and D (0, -8). Which statements are correct

Answers

A quadrilateral is a shape with four vertices

The true statement about the quadrilateral ABCD is that the quadrilateral has unequal lengths

How to determine the true statement?

The coordinates of the vertices are given as:

A = (1,1)

B = (5,2)

C =  (8, -6)

D = (0, -8)

Next, we calculate the distance between the vertices using the following distance formula

[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB=\sqrt{(1 -5)^2 + (1 -2)^2} = \sqrt{17}[/tex]

[tex]BC=\sqrt{(5 - 8)^2 + (2 +6)^2} = \sqrt{73}[/tex]

[tex]CD=\sqrt{(8 - 0)^2 + (-6 + 8)^2} = \sqrt{68}[/tex]

[tex]DA=\sqrt{(0 - 1)^2 + (-8 - 1)^2} = \sqrt{82}[/tex]

From the above computation, we have the lengths to be unequal

Hence, the true statement about the quadrilateral ABCD is that it has unequal lengths

Read more about quadrilaterals at:

https://brainly.com/question/16691874

The table of values represents a polynomial function f(x)
x f(x)
4 358
5 690
6 1178
7 1852
8 2742
9 3878
How much greater is the average rate of change over the interval [6,8] than the interval [5,7]?

Answers

Answer:    536

============================================================

Explanation:

The average rate of change is the same as the slope of the line through the endpoints mentioned.

The interval [6, 8] means that we're talking about [tex]6 \le x \le 8[/tex]

When x = 6, we have y = f(x) = 1178When x = 8, we have y = f(x) = 2742

So we're tasked to find the slope of the line through (6,1178) and (8,2742)

We'll use the aptly named slope formula.

[tex](x_1,y_1) = (6,1178) \text{ and } (x_2,y_2) = (8,2742)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2742 - 1178}{8 - 6}\\\\m = \frac{1564}{2}\\\\m = 782\\\\[/tex]

The slope through those two endpoints is 782, which is the average rate of change on the interval [6, 8].

------------------

For the interval [5,7] we have [tex]5 \le x \le 7[/tex]

According to the function table,

When x = 5, y = 690When x = 7, y = 1852

Like before, use the slope formula to find the slope through (5,690) and (7,1182)

[tex](x_1,y_1) = (5,690) \text{ and } (x_2,y_2) = (7,1182)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1182 - 690}{7 - 5}\\\\m = \frac{492}{2}\\\\m = 246\\\\[/tex]

This is the average rate of change on the interval [5,7].

------------------

The last step is to subtract the slopes:

782 - 246 = 536 which is the final answer


Question 2 of 11, Step 1 of 1
what is the other number?
The product of two numbers is 20. If one of the numbers is 4/7

Answers

Answer:

35

Step-by-step explanation:

Let other number be X

According to the question

4 × X= 20

7

X=20×7

4

X=35

Jacquie bought 12 pens for her students for $10.56. If she wants to buy another 18 pens, how much will they cost?

Answers

Answer:

$15.84

Step-by-step explanation:

We can write a proportion to solve

12 pens        18 pens

------------  = -------------

10.56            cost

Using cross products

12 * cost = 10.56 * 18

12 cost = 190.08

Divide each side by 12

cost = 190.08/12

cost =15.84

Answer:

$15.84

Step-by-step explanation:

Writing a proportion.

12 pens 18 pens

------------ = -------------

10.56 cost

Cross products

12 * cost = 10.56 * 18

12 cost = 190.08

( ÷ ) each side by 12

cost = 190.08/12

cost = 15.84

#BrainliestBunch
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