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
For example, for LCM (12,30) we find:
Using the set of prime numbers from each set with the highest exponent value we take 22 * 31 * 51 = 60. Therefore LCM (12,30) = 60.
A. The independent variable is time, as time is manipulating the value of her salary.
b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.
c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat
Answer:
For this question I believe this is A) He is inventive and reasoursful.
Step-by-step explanation:
I think this is the answer because he made so many things like used bicycle tires to help him wire the wires in the text givin. Have a nice day and stay safe!!!
The answer is 3 because 4x6=24 and add 3 is 27 so she will need 3 dollars.
