1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xenn [34]
3 years ago
8

Find an equation equivalent to r = 10sin ø in rectangular coordinates.

Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer: x^2 + y^2 -10y = 0

Step-by-step explanation:

Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.

r= 10sin(θ)

Remember that:

x= r × cos(θ)

y= r × sin(θ)

r^2= x^2 + y^2

Multiply both sides of the equation by r. This will give:

r × r = 10r × sin(θ)

r^2 = 10r × sin(θ)

x^2 + y^2= 10r × sin(θ)

Because y= r × sin(θ), we can make a substitution. This will be:

x^2 + y^2= 10y

x^2 + y^2 -10y = 0

The above equation is the Rectangular coordinate equivalent to the given equation.

You might be interested in
A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component?
Shalnov [3]

Answer:

Option A is the correct answer.

Explanation:

 Any vector can be resolved in to two components. Horizontal component and vertical component.

Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.

Horizontal component = F cos θ

Vertical component = F sin θ

Here we have Force , F = 50 pounds

Angle with horizontal = 80°

Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds

                                      ≅ 9 lb.

Option A is the correct answer.

6 0
3 years ago
The Bayside Bugle charges by the word to run automotive ads. The newspaper
11111nata11111 [884]

Answer:

$20.45

Step-by-step explanation:

Since the Bayside Bugle charges $18 for the first 20 words and there is more than 20 words in the ad you take 27-20 and you get 7 additional words.

Now we know that we already have to pay $18 for the first $20 words.

Since we have 7 additional words we multiply that by 0.35 cents and you get $2.45.

Next we add up our two numbers (2.45+18) we get the total of $20.45 fro a 27-word ad.

I hope this helps :)

8 0
3 years ago
Write the standard equation of the circle with the given center that passes through the given point
Kitty [74]
Circle equation
(x - h)^2 + (y - k)^2 = r^2
Since radius isn't given use the center and point, with the distance formula, to find the radius.
D=sqrt((x2-x2)^2+)y2-y1)^2)
D=sqrt((1-0)^2+(2-6)^2
D=sqrt(1+16)
D=sqrt 17
radius = sqrt 17
(h, k) is the center and r is the radius
(x - 1)^2 + (y - 2)^2 = 17
5 0
3 years ago
Square root of 9 multiplied by square root of 180
grin007 [14]
Square root of 9 is 3 square root of 180 is 13.416roundes 3x13.416 is 40.248
5 0
2 years ago
Read 2 more answers
John gave away some money. He has $12.00 left. If m represents the money he gave away, which expression represents the money he
makvit [3.9K]

Answer:

the answer would be d

Step-by-step explanation:

you have to divide $12.00 by the amount of money or m

3 0
2 years ago
Other questions:
  • HELP PLEASE NOBODYS HELPING ME ALL MY POINTS TO YOU
    5·2 answers
  • What is the equation of a line that passes through the point?
    6·1 answer
  • In the figure, a ‖ e, m ‖ n, and m∠3 = 108°<br> What is m∠6?<br> __ °
    11·2 answers
  • Help I don’t get it.......
    5·1 answer
  • Rewrite y =<img src="https://tex.z-dn.net/?f=%5Csqrt9%7Bx%7D%20%2B45" id="TexFormula1" title="\sqrt9{x} +45" alt="\sqrt9{x} +45"
    15·1 answer
  • What is x? I have been having trouble with these
    6·1 answer
  • Kevin is 393939 years old and Daniel is 333 years old. How many years will it take until Kevin is only 444 times as old as Danie
    13·1 answer
  • The patient recovery time from a particular surgical procedure
    15·1 answer
  • Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?​
    7·2 answers
  • PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!