Convert the rectangular equation to polar form. X2 y2 = 64

Answers

Answer 1

The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

What is the polar form of the equation?

The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.

The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.

The given equation to polar form is;

[tex]\rm x^2+y^2=64[/tex]

Using the formulae that link Cartesian to Polar coordinates.

x = rcosθ and y = rsinθ

Substitute these values into the equation.

[tex]\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8[/tex]

Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

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Related Questions

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

La respuesta es A

Step-by-step explanation:

simplemente tienes que multiplicar 7 x 3 que te da 21 y luego tienes que sumar el 2 del numerador (siempre multiplica el o los enteros por el denominador y sumale el numerador)

Answer:

A

Step-by-step explanation:

The larger number in a mixed number represents how many "wholes" of the fraction there are. The fraction in a mixed number is sort of like the "leftovers", the amount that doesn't fit into a whole number. In this case, the whole number is 7, meaning there are 7 amounts of 3/3. You would multiply the whole number by the number in the denominator of the fraction, which would equal 21. The improper fraction of the whole number would be 21/3 (21 divided by 3 equals 7). Now you would add that to the fraction 2/3. The answer would be 23/3.

I hope this makes some type of sense, I didn't explain it very well.

The length of a rectangular floor is two ft more than its width. If the area of the floor is 63 ft, find the length and the width of the floor.​

Answers

Answer:

width = 7 and length = 9

Step-by-step explanation:

Let's assume width = w, and length = 2 + w

So area of a rectangle = width * length

63 ft² = w (2 + w)

63 = 2w + w²

w² + 2w - 63 = 0

Use the quadratic formula to solve this

here, a = 1, b = 2 and c = -63

w = 7 or -9

The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.

Width = 7 and Length = 7+2 = 9

Answer answer questions please

Answers

Answer: 2 1/4

Step-by-step explanation: theirs 2 whole so with that theirs another circle cut in 4th's and 1 is shaded so 1/4.

Answer: choice c , 2 and 1 over 4

Step-by-step explanation: as the first 2 circles are fully shared but only one 1 over 4 from the third circle is shaded so 2 and 1 over 4 as a mixed numbers . Which means 2 full circles and 1 over 4 of the third circle . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Please help me geometry proof for trapezoid

Answers

A trapezoid is a quadrilateral that has two parallel sides with a height.

The proof for trapezoid

From the diagram, AK = 1/2(AD-BC)

The combination of the bases of the equilateral triangle and the parallelogram is = the base of the trapezoid.

Therefore, BC = AD - 2AK

Make AK the subject of formula,

AK= 1/2 (AD -BC)

From the second equation given,

KD = 1/2(AD - BC). This is wrong because of the following,

BC is parallel to KD.

Therefore length of KD = BC - AK and not KD = 1/2(AD - BC).

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Reggie has $240 in a savings account at the beginning of the summer. He wants to have at least $450 in the account by the end of the summer. He deposits $35 each week. What is the shortest amount of time Reggie needs to deposit money into his account?

Answers

Answer:

6 weeks

Step-by-step explanation:

Since Reggie has $240 in the account already we first subtract this $240 from the $450. 450 - 240 = 210. Now since he deposits $35 a week and needs to hit at least 210 to reach is goal of $450 for the summer then we need to divide 210/35 to see the amount of weeks.  210/35 = 6. So 6 weeks  is the shortest time.

6 weeks. 35x6=210. 240+210=450

100pts Find mPQ in the circle to the right

Answers

We need indirectly m<POQ

See NR is a straight line so the three angles situated underneath are linear pair and supplementary

m<POQ

180-(82+63)180-14535°

Answer:

C)  35°

Step-by-step explanation:

From inspection of the given diagram, it appears that the line segment NOR is the diameter of the circle (where point O is the center).

Angles on a straight line sum to 180°

⇒ ∠NOP + ∠POQ + ∠QOR = 180°

⇒ 82° + ∠POQ + 63° = 180°

⇒ ∠POQ = 180° - 82° - 63°

⇒ ∠POQ = 35°

As an arc measure equals its corresponding central angle measure:

[tex]\sf \implies \overset{\frown}{PQ}= \angle POQ[/tex]

[tex]\sf \implies \overset{\frown}{PQ}=35^{\circ}[/tex]

In a class of 35 students, 20 offer Physics, 18 offer Chemistry and 2 offer neither Physics nor Chemistry. i) Illustrate the information on a Venn diagram. ii) How many students offer all the two subjects? ii) How many students offer Physics? iv) How many students offer only one subject?​

Answers

Answer:

Given:

35 = Total number of students20 = Physics students18 = Chemistry students2 = Neither Physics or Chemistry students

To construct the Venn diagram:

Draw 2 circles overlapping.  
Label one P (for Physics) and the other C (for Chemistry)Draw a box around the circles.

As 2 students study neither subject, place the number 2 in the box outside the circles.

Calculate the number of students who study both subjects (central overlapping section):

Physics students + Chemistry students + neither students - Total students

= 20 + 18 + 2 - 35 = 5

Place the number 5 in the central overlapping section.

⇒ Left section = Physics students - both subjects

                        = 20 - 5

                        = 15

⇒ Right section = Chemistry students - both students

                          = 18 - 5

                          = 13

i) See attachment

ii) Physics and Chemistry = 5 students

iii) Physics only = 15 students

iv) One subject only = 15 + 13 = 28 students

1. what is the product of 3.62 and 9.8?

2. Express 5/6 as a percentage

3. find 500,000 less than 1031001 ?

4. Express 75% as a fraction in the lowest term .

5. Express 2.50 as a percentage

6. simplify 18 + 0.8 - 1.293

7. find the cost of a shirt with a price tag of £29•00

8. Anna was given £50.00.she bought a mathematical set for £15.50 and an exercise book £2.30.how much change will she receive .

Answers

Answer:

1. 35.476

2. 83.33%

3. 531001

4. 3/4

5. 250%

6. 17.507

7. £29•00

8. 32

Step-by-step explanation:

math is done on calculator :)

Reuben has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last?

Answers

Answer:

50

Step-by-step explanation:

3*50=150. 150/5=30 pounds

Are the ratios 8:3 and 4:1 equivalent?

Answers

no

8/3 = 2.7

4/1 = 4

2.7 ≠ 4

Answer:

No.

Step-by-step explanation:

8:3 = 8/3

4:1 = 4/1 = 8/2

8/2 is not = 8/3

Find the y-intercept of the line 11x - 8y = -1.
write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.
submit

Answers

Answer:

1/8

Step-by-step explanation:

I'd start by rearranging the terms for y:

11x-8y=-1

-8y=-1-11x

y=[tex]\frac{-1-11x}{-8}[/tex]

The x-intercept is found when x equals 0, so substitute 0 for x in this new equation to find the y-intercept:

[tex]y=\frac{-1-11x}{-8} \\y=\frac{-1-11(0)}{-8}\\ y=\frac{-1-0}{-8} \\y=\frac{-1}{-8}\\ y=\frac{1}{8}[/tex]

The y-intercept is 1/8

1. Suppose a married man and woman both carry the gene for cystic fibrosis but don't
have the disease themselves. According to the laws of genetics, the probability that
any child they have will develop cystic fibrosis is .25.
a) Explain what this probability means.

b) If the couple has 4 children, is one of them guaranteed to have cystic fibrosis.

Answers

Answer:

a) Probability is the chance or possibility that an event will occur.

b) No,

just as the question states there is a 25% chance of this event happening in a child, so no matter the number of children they have the chances of them getting cystic fibrosis is 25% for each child and it's never guaranteed.

Find areas of the triangles.

Answers

Answer:

2.75

Explain
1 3/5 = 8/5
3 7/16 = 55/16

8/5 x 55/ 16 = 440/80
440/80 : 2 = 5.5

5.5 / 2 = 2.75
Simple as that
You can check the calculator

Answer:

2.72

Step-by-step explanation:

1 3/5 is 1.6 and 3 7/16 is 3.4 so 1.6 x 3.4=5.44 and 5.44/2 is 2.72 sq u

Norman gave 1/3 of his money to his wife. He divided the remainder equally between his 3 children. What fraction of his money did each of his children receive?​

Answers

22% each to 22/100

Methamatics

pls help me classify this

Answers

First image -Pentagon(Five sides).

Second image-Equilateral triangle(All sides are equal).

what is the value of the expression 1 cubed, 2 cubed, and 3 cubed

Answers

1³ + 2³ + 3³

1 + 8 + 27

36

hope it helps..!!!

I was absent the entire time my teacher taught this lesson, please help me

Answers

Answer:

1 - 4/9

2 - 1/9

3 - 5/9

Step-by-step explanation:

1 - Look on the left side for all two-letter combinations with only one R. We can see four. (YR, GR, RG, RY). Divide by the total number of outcomes (9).

2 - There is only one with two yellows, so divide 1 by 9.

3 - Same as before, we find 4 with 1 green and 1 with 2 green. We have to include the new one since it says atleast one. Add 1 and 4 and then divide by 9.

I need this asap

13 points (SHOW WORK)

Answers

Answer: 23

6*6=36 total area

3*3=9

2*2=4

9+4=13

36-13=23 shaded area

Use the quadratic formula to solve for X.

Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

The formula is x=-b+\- sqrt b^2 -4ac/ 2a
So you would make your answer equal to zero then plug in the proper variables and your answers would be 2.11 and -1.11 don’t forget to seperate them with commas

What is the 43rd term of a Arithmetic sequence 3, 5, 7

Answers

Answer:

87

Step-by-step explanation:

common difference = d  = 2

an = a1 + (n-1)*d

a43 = 3 + 42*2  = 87

need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight. ( Both Parts )​

Answers

Answer:

433.5 cm^3

Step-by-step explanation:

The volume of a cylinder is its base area times height. Therefore it can be said that:

V = 23π x 6

This is 433.539786195, which when rounded to the nearest tenth is 433.5.

How is perimeter helpful in daily life?

Answers

Answer:

so you can know how long an objects size on the outside

What are the center and radius of the circle with equation x^2 + y^2 - 4x - 6y + 8 = 0?​

Answers

Answer:

centre : (2;3)

radius :

[tex] \sqrt{5} [/tex]


A colony of 10,710 bacteria doubles in size every 129 minutes. What will the population b
516 minutes from now?

Answers

The population after 516 minutes is 171360 bacteria

How to determine the population after 516 minutes

From the question, we have the following parameters that can be used in our computation:

Initial, a = 10,710 bacteria

Rate = doubles i.e. 2

Using the above as a guide, we have the following:

f(x) = a(2)^x

Where x is the time

516 minutes is 4 times 129 minutes

This means that

x = 516/129 = 4

So the population after 516 minutes can be calculated as follows:

f(4) = 10710 * (2)^4

Evaluate

f(4) = 171360

Hence, the population is 171360

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Find the area of the triangle. MY GRADE PLEASE HELP!

Answers

Answer:

B:21

Step-by-step explanation:

Area of parallelogram=315=base ×hight .

base =x

hight= 15

15 × x = 315

x= 315/15

=21

Solve x^2 =-25, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".

Answers

Answer: x = ±5i

Step-by-step explanation:

√x2 = √−25

x = √−1 ∗ 25

x = i√25

x = ±i5

(20 points) Enter the y coordinate of the solution to this system of equations.

6x + y = 8
x − 2y = 10

Answers

Answer:

y=-4

Step-by-step explanation:

graph each equation or solve by elimination/subtitution. Easiest way is using Desmos graphing calculator

Y=-4 this is because when you are looking at these two equations you can either solve by elimination or substitution.

What is the equation for the function shown in FACTORED FORM?

Answers

Answer:

f(x) = (x + 1)(x - 4)

Step-by-step explanation:

let f be the function

FACTORED FORM of f :

f(x) = a(x - p)(x - q)

Where p and q are the roots/zeros of f

and ‘a’ is a real number.

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

Find p and q :

The roots of f are the x-coordinates where the graph crosses the x-axis, which can be read from the graph: x = -1 and x = 4 ⇒ p = -1 and q = 4.

then f(x) = a(x + 1)(x - 4)

Find ‘a’ :

f(3) = -4  ⇒ a((3) + 1)((3) - 4) = -4 ⇒ a(4)(-1) = -4 ⇒ -4a = -4 ⇒ a = 1

Therefore, f(x) = (x + 1)(x - 4)


The volume of a sphere is V=4/3 pie r 3
where r is the radius of the
sphere. Determine the volume of the sphere where the radius is
measured at 6 inches.
a 288pie 3
b 216 pie 3
C 144 pie 3
d 48 pie 3

Answers

Answer:

A. 288pi in^3

Step-by-step explanation:

s

ee image

I need help, I have a test tomorrow and I didn't understand this exercise

Answers

Answer:

Step-by-step explanation:

Circumference = 2(pi)r

Radius = Circumference/2(pi)

Circumference = 37.68

Radius = 37.68/2(pi)

Radius = about 59.18760559

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