Answer:
<em>Volume: Option A - Around 85.33 (in^3)</em>
Step-by-step explanation:
Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.
Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:
C = 2 * π * r - Where r = radius
Now let us substitute the known value of the circumference as to solve for r, or the radius:
(8π) = 2πr
r = 8π/2π
r = 4
Now take a look at the spherical formula for volume of a sphere:
V = 4/3 * π * r^3 - Where r is yet again the radius
Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:
V = 4/3 * π * (4)^3
V = 4/3 * π * 64
V = 256/3 * π
V = (Around) 85.33π (in)^3
*Don't forget the units
<span>-x2 + 2x - 3 is the final answer to that
</span>
Answer:
This system of equations has no solution.
Step-by-step explanation:
Solving a system of equations can be done using a few different methods. Since your second equation is already solved for 'y', you can substitute this expression (-
x + 3) for the value of 'y' in the first equation:
2x + 4(-x + 3) = 10
Distribute: 2x - 2x + 12 = 10
Combine like terms: 0 + 12 = 10 or 12 ≠ 10
Since the variables cancel out and 12 ≠ 10, there are no solutions to this system.
