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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.

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Colt1911 [192]

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Answer:

  5 hours

Step-by-step explanation:

A quick way to look at this is to compare the difference in hourly charge to the difference in 0-hour charge.

The first day, the charge is $3 more than $12 per hour.

The second day, the charge is $12 less than $15 per hour.

The difference in 0-hour charges is 3 -(-12) = 15. The difference in per-hour charges is 15 -12 = 3. The ratio of these is ...

  $15/($3/h) = 5 h

The charges are the same after 5 hours.

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If you write equations for the charges, they will look like ...

  y1 = 15 + 12(x -1)

  y2 = 3 + 15(x -1)

Equating these charges, we have ...

  15 +12(x -1) = 3 + 15(x -1)

  12x +3 = 15x -12 . . . . . . . . eliminate parentheses

  15 = 3x . . . . . . . . . . add 12-12x

  x = 15/3 = 5 . . . . . . divide by 3

You might notice that the math here is very similar to that described in words, above.

The charges are the same after 5 hours.

6 0
3 years ago
A sled starts at rest with 51,450 j of potential energy. after traveling part of the way down the slope, the sled has 32,781 j o
I am Lyosha [343]
In a mechanical system, it is a law that energy should be conserved. In this case, what is the initial energy should be equal to the total energy after the motion happened. We do as follows:

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8 0
3 years ago
Read 2 more answers
3.14=7x-2y
eimsori [14]

3.14=7x-2y

move 7x to the other side

sign changes from +7x to -7x

3.14-7x=7x-7x-2y

3.14-7x=-2y

Divide both sides by -2

3.14/-2-7x/-2=-2y/-2

3.14/-2=-1.57

-7x/-2=7x/2

Answer:

y=-1.57+7x/2

5 0
3 years ago
What is the product of 1/2 × 2/3 × 3/4 × 4/5​
Anastasy [175]

Answer:

5/6

Step-by-step explanation:

brainly pls

6 0
2 years ago
A. $20,950.75<br><br> B.$28,458.50<br><br> C.$31,045.50<br><br> D.$34,650.75
quester [9]

Answer:

C) 31,045.50

Step-by-step explanation:

<em>p*</em>855= amount of money made from sold products

You must subtract the amount of money spent from the amount of money made from sold products.

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To find the amount that the CEO of the company owned, you must multiply the number by 15% or 0.15:

206970*0.15= $31045.50

Therefor, the CEO made $31,045.50 that month.

4 0
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