Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 
Write and solve an equation of ratios:
6 inches 1 inch
-------------- = ------------
60 inches x
Cross-multiplying, 6x = 60, so x = 10 inches (answer)
Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.
Month Mandy Bill
May 18 4
June 20 8
July 22 12
August 24 16
Sept 26 20
Oct 28 24
Nov 30 28
Dec 32 32
At the end of December they will have read the same amount of books.
Answer:
70,000
2.5 million
12 million
20.8 million
29.3 million
53.5 million
Step-by-step explanation:
Answer:
8
Step-by-step explanation: