Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
Answer:
4.5 times 4.5 times 4.5 = 91.125
Step-by-step explanation
To find the volume you do v= length times width times height.
(a)
different possibilities
(b)
So, there is a 1 in 4 chance that both dice will show an even.
Answer:
he cable car's elevation will be 750 feet after 15 minutes
Step-by-step explanation:
Given:
elevation, e =2,000 feet
rate, I = 50 feet/minute
The equation that models the car's elevation, e, after t minutes is e = |t
The cable car's elevation will be 750 feet after how many minutes?
since, e = It
for 2,000 feet = 50 feet/minute * t
t = 2000/50 =40minutes
using the same constant rate, I for 750ft, T =
since, e = It
for 750 feet = 50 feet/minute * t
t = 750/50 =15minutes
