Answer:
Step-by-step explanation:
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
It depends on what shape it is...
For number 3 add all the numbers and divide how numbers you have
Answer:
B. 
Step-by-step explanation:
<em><u>To find the perimeter, use the formula:</u></em>
P = a + b + c
P = 12 + 12 + 9.7
P = 33.7
<em><u>To find area, use the formula:</u></em>
A = 
A = 
A = 
A = 54
