The expression x^3-64 can be written as (x)^3-(4)^3. what is the factorization of x^3-64?
1 answer:
You might be interested in
Z=kx/y
7.9=k11/14
Cross multiply
K11=7.9x14
K =7.9x14/11
K=10.1
........
Z= kx15/22
Z=10.1x15/12
Z=12.625
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in and solving for height
we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.