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
73.5/5 because the middle number of four and three is 3.5 <span />
Answer:
120°
Step-by-step explanation:
Add the 2 opposite angles to find the exterior angle.
50° + 70° = 120°
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Answer:
Step-by-step explanation:
Given
there are six integers to win a lottery
case-1 Integer not exceeding 40
no of ways to choose 6 incorrect numbers


Case-2 no of ways to choose 6 incorrect numbers out of 48 integers


Case-3 no of ways to choose 6 incorrect numbers out of 56 integers


Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers


Answer:
Twenty-three thousand five hundred seventy-nine
Step-by-step explanation: