Answer:
the volume of the sphere is
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
![l= \sqrt[3]{64}](https://tex.z-dn.net/?f=l%3D%20%5Csqrt%5B3%5D%7B64%7D)
also diameter d=length l
Diameter d= 
Radius r = 
= 
= 
Height h=
we know that the volume of a sphere is given by
substituting into the formula we have
Answer:
c = 64
Step-by-step explanation:
Given
x² - 16x + c
To complete the square
add ( half the coefficient of the x- term )² to x² - 16x
x² + 2(- 8)x + 64
= (x - 8)²
Thus
x² - 16x + 64 = (x - 8)² ← a perfect square
with c = 64
Answer:
C. 14 inches
Step-by-step explanation:
The perimeter is double the sum of length and width:
P = 2((4a +3) +(6b -2) = 8a +12b +2
For the given values, this is ...
P = 8(0.75) +12(0.50) +2 = 6 + 6 + 2 = 14
The perimeter is 14 inches.
To find f(g(x)), plug g(x) into f(x) and simplify.
f(x/2) = 2 - 1/(x/2)
All you have to do is simplify the right side of the equation.
Take it from here.
Let the complex number be x + iy
Then by the pythagoras therem
17 = x^2 + y^2
D will satisfy this equation
4^2 + (-1)^2 = 17
answer is D 4 - i
