Yes because it is a whole number
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
0.433 is already rounded to the hundredths so to round it to the nearest tenths, remove the last number.
Your answer is 0.43
Answer:
C) 113 m^2
Step-by-step explanation:
diameter/2 =radius = 12/2 = 6
area = 6^2(3.14) = 6x6x3.14 = 113 m^2
The rate of Car A is x
The rate of Car B is x - 5
They travel the same distance. So we can make an equation:
4(x) = 4.5(x-5)
Solve for x.
4(x) = 4.5(x-5)
4x = 4.5x - 22.5
Subtract 4.5x on both sides
-0.5x = -22.5
Divide by -0.5 on both sides
x = 45
But we want the speed of Car B which is x - 5
So Car B's speed is 45 - 5 = 40
Your answer is 40
