change from rectangular to cylindrical coordinates. (let r ≥ 0 and 0 ≤ ≤ 2.) (a) (5 3 , 5, −9)

Answers

Answer 1

To change from rectangular to cylindrical coordinates for the point (5, 3, -9), we need to find the radius, angle, and height of the point.

To change from rectangular to cylindrical coordinates, we need to find the radius (r), the angle (θ), and the height (z) of the point in question.

Starting with the point (5, 3, -9), we can find the radius r using the formula:
r = √(x^2 + y^2)

In this case, x = 5 and y = 3, so
r = √(5^2 + 3^2)
r = √34

Next, we can find the angle θ using the formula:
θ = arctan(y/x)

In this case, y = 3 and x = 5, so

θ = arctan(3/5)
θ ≈ 0.5404

Finally, we can find the height z by simply taking the z-coordinate of the point, which is -9.

Putting it all together, the cylindrical coordinates of the point (5, 3, -9) are:
(r, θ, z) = (√34, 0.5404, -9)

So the long answer to this question is that to change from rectangular to cylindrical coordinates for the point (5, 3, -9), we need to find the radius, angle, and height of the point.

Using the formulas r = √(x^2 + y^2), θ = arctan(y/x), and z = z, we can calculate that the cylindrical coordinates of the point are (r, θ, z) = (√34, 0.5404, -9).

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Related Questions

pls help me with this I have to go to bed soon( I need the volume of the sphere)

Answers

Volume= 4/3πr^3

r = 18m

Volume = 4/3*3.14*18^3

Volume = 4/3*3.14*5832

Volume= 24416.639999 m^3

A sailboat with a sick passenger abroad is following a parabolic path given by the equation = − 2 +2 + 8.
The boat’s captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by the linear equation y=- x+8. Besides the y-intercept (starting location) where do the paths of the two boats cross (for each graph you must plot at least 3 points each and give answer in coordinate pair notation)?

Answers

A sailboat with a sick passenger aboard is following a parabolic path given by the equation y=-2x+8. T...

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Angel repairs used furniture. He expects to use 48 oz of wood filler this month. There are 16 oz in 1 lb. How many pounds of wood filler does Angel expect to use this month?

Answers

Answer: 3

Step-by-step explanation:

48 divided by 16 is 3

The number of pounds expected to use this month is 3 pounds.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

16 oz = 1 lb

Multiply 3 on both sides.

48 oz = 3 lb

Thus,

3 pounds of wood is in 48 oz.

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Find the square root. 1/16​

Answers

Answer:

The square root of 1/16 is 1/4=0.25

Step-by-step explanation:

The square root of 1/16 is 1/4.

To find the square root of 1/16, you can take the square root of the numerator and the denominator separately.

√(1/16) = √1 / √16

Since the square root of 1 is 1, and the square root of 16 is 4:

√(1/16) = 1/4

So, the square root of 1/16 is 1/4.

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Find the point-slope equation for the line that passes through the points (-6, 24) and (5, -31). Use the first point in your equation. y - [?] = [ ](x-[ ])​

Answers

It should be y1 - y2/x1 - x2 this is supposed to be a fraction


I end up getting -31 - 24/5 + 6 or -31 -24/5 - (-6)

Polar bears eat 8.4 pounds of fish a day. Penguins eat about 0.80 of that amount. How many pounds if fish do penguins eat?

Answers

6.72

8.4 * .8 = 6.72

Hope this helps
6.4 pounds, please mark me brainliest if I’m correct

George wants to buy a new television that is on sale for 1/4 off the regular price of $599.96. The sales tax is 7%. What is the final price of the television including tax? ​

Answers

Answer:

641.96

Step-by-step explanation:

ayo!! listen to me this is an easy question :)

Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
c = 4
c = .65n
c = 2.60n
c = 8n

Answers

Answer:

B ) c = 0.65n

Step-by-step explanation:

To find how much a single pound costs, divide the total cost by the total weight (2.60 ÷ 4). So, the cost (c), equals $0.65 per pound.

2.60/4=0.65n
So, I think the answer is c=0.65n

the length and breadth of a hall are 20m and 15m respectively. find the area of 4 Walls of the hall if the height of the hall is 10 m​

Answers

Answer: 700m^2

Step-by-step explanation:

length = 20m

breadth= 15m

so we use lateral surface area = 2(L+B) H

area of hall = 2(20+15)10

2×35×10 = 700m^2 ans

3x-4y=-14 6x+3y=27 don’t understand how to solve

Answers

tama Ang kanyang sagot

Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?

Answers

Answer:

They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)

Step-by-step explanation:

if sin theta = cos theta,theta is an acute angle then tan theta=?
please answer within one hour
I will mark u brainliest​

Answers

sin θ = cos θ

when cos θ = 0

θ = π/2

sin θ
-------- = 1 , θ≠ π/2
cos θ

tan θ = 1

θ = arctan (1)

θ = π/4

Answer:

hope it helped have a good day mate

Find the slope of a graph
I'll GIVE BRAINLESS

Answers

Answer: 5/4

Step-by-step explanation:

PLS SHOW HOW YOU SOLVED THE PROBLEM
15. The perimeter of an isosceles triangle is 34 inches. When you add the base of the
triangle to one of the equal sides the sum is 18. What is the length of the base of the
triangle?
a)
2 inches
go to card 3
b) 14 inches
go to card 6
c) 9 inches
go to card 9
d) 16 inches
go to card 11
e) 4 inches
go to card 13

Answers

Answer:

D

Step-by-step explanation:

On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?

Answers

4/100= x/4,500 18,000/100= $180x2.5= $450

Answer:

4,950

Step-by-step explanation:

4,500*.10=450

4,500+450=4,950

Hope this helps:)

The entire digits of pie times the square root of 1

Answers

Answer:

3.1415926

Step-by-step explanation:

3.1415926 * 1 = 3.1415926

Answer:

g4 bk.58i

Step-by-step explanation:

A rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? What is the length? What is the width?

Answers

P = 2( l + w)
Length: 2y
Width: y - 4
P= 22 inches
2(2y) + 2(y - 4) = 22
4y + 2y - 8 = 22
4y + 2y = 6y and add (-8) on both sides of the equation to equal: 6y = 30
Divide 6 from both sides of the equation and you get: y = 5
Check:
4(5) + 2(5) - 8 = 22
20 + 10 - 8 = 22
30 - 8 = 22 ✅

A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE

Answers

Answer:

≈ 7

Step-by-step explanation:

What's the circumference of a circle with a radius of 5 inches

Answers

Answer:

10π

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

The answer is:
31.4in (it’s rounded to the nearest 10th)

find the value of -
[tex]( {x}^{2} - x)[/tex]
where, x = 5

Answers

Step-by-step explanation:

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

=25-5 =20

Answer:

(x²-x)=(5²-5)

=(25-5)

=(20)ans..............

Slope of 4,-9 and 8,-3

Answers

Answer:

3+5=8 its question answer ok

Answer:

slope=. y2-y1/x2-x1

= -3+9/8-4

= 6/4

=3/2

1/4 y + 9=1/2 A -34 b 2 c 9 d 38

Answers

¹/₄y + 9 = ½

¹/₄y = ½-9

¹/₄y = -¹⁷/₂

y = -34

- A unicycle tire has a radius of 13 inches. About how far will the unicycle travel in 20 rotations?
F.1633 inches
G.10,613 inches
H.82 inches
J.520 inches

Answers

Answer:

1061.32  you made a typo on G

Step-by-step explanation:

To find the distance travelled by the tire we need the circumference of it

The formula for circumference is 2πr we know pi is roughly 3.14 and the radius is 13

we plug the numbers in and get

2* 3.14* 13

6.28*13

81.64

81.64 is the circumference, now we simply just multiply 81.64 by 13 to get 1061.32

Im guessing number G was supposed to be 1061.32 instead of 10,613

The y-intercept of the the inverse of the function f(x) = 1/4 x-9/4 is

Answers

Answer:

Since f(x) is a linear equation the graph of f(x) is a line with a slope of –3/4 and a yintercept of (0, 2). In looking at the graph, you can see that ...

Rearrange p=r+3 to make r the subject

Answers

Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

Plus is the operator of addition and p and r are variables

Subtracting 3 from both sides, we get:

p - 3 = r + 3 - 3

Simplifying the right-hand side:

p - 3 = r

Therefore, r = p - 3.

Hence, the equation  p=r+3 can be rearranged as r=p-3

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Can someone please help me ASAP

Answers

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

A savings account earns 7% interest each year, compounded quarterly (4 times a year). If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 5 years​

Answers

Answer:

.

Step-by-step explanation:

I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?

Answers

Answer:

She has $5

Step-by-step explanation:

5$ if it helps with any other questions you can search for example what is ——% of —— and you will get the answer easier
Hope this helps!

if the slop of the straight line passing through the two points A (4, k) , B (3, 2) is 5, find the value of K

Answers

Answer:

Step-by-step explanation:

*The dashes are the fraction line*

To find slope...

difference between y

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

difference between x

2 - k

-------  =  5

3 - 4

3-4 = -1 so...

-1 ( 2 - k ) = 5

k - 2 = 5

k = 7

Hope this helps!

Answer:

2.5 or 5/2

Step-by-step explanation:

Y2-Y1/X2-X1=m

(2-k)/(3-4)=5

(2-k)/-1=5

Multiply both sides by -1

(2-k)/2=-2.5

-k/-1=-2.5/-1

k=2.5 or 5/2

Need help ASAP 25 points

Answers

Answer:

The volume is 24 cubic cenimeters. Can i be brainlyest? Lol i know i spelled it wrong :l

Step-by-step explanation:

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