Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
Step-by-step explanation:
25z square+93=100z
=25z square+93=10z square
=25z square-10z square=-93
=15z square= -93
4/3x - 1/2 = 0 Given
4/3x = 1/2 Add 1/2 to both sides
x = 3/8 Multiply each side by 3/4
It is important when doing equations like these to remember that you need to multiply by the reciprocal of the fraction, not divide by it. For example, if another you have 1/2x = 1, you need to multiply by 2/1 or 2, not divide by 1/2.
Hello from MrBillDoesMath!
Answer: radius = 20
Discussion:
The distance between two complex points z1 ( = x1 + i y1) and z2 ( = x2 + iy2) is
sqrt ( (x1-x2)^2 + (y1-y2)^2)
In our case z1 = -10 - 1i and z2 = 6 + 11i. Per the above formula, the distance, or radius of the circle, is given by
sqrt ( (-10 - 6)^2 + ( -1 - 11)^2 ) =
sqrt ( ( -16)^2 + (-12)^2) ) =
sqrt ( 256 + 144) =
sqrt(400) =
20
Thank you,
MrB