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
Final price=original price*(100%- discount 1)(100%-discount 2)
original price=$40
discount 1=25%⇒ 100 - discount 1=100%-25%=75%=75/100=0.75
discount 2=15%⇒ 100 - discount 2=100%-12%=85%=85/100=0.85
original price=$40(0.75)(0.85)=$25.5
Answer: $25.5
Net 2....................
Answer:
1539 cubic meters
Step-by-step explanation:
Hello, I can help you with this
to solve need we will need these two equations
Step one
Remember
area of a circle
Also, the volume of the cylinder
Volume= area of the circle * height
Step 2
put the values into the equation
Let
diameter= 14 m
height = 10 m
I hope it helps,have a great day.
Answer:
Height of a cell tower is, 30 m
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
As per the given statement:
Let height of a cell tower be h.
Height of a pole = 3m ,
Shadow of a pole = 4 m and
shadow of a cell tower = 36+4 = 40 m
By definition of proportion;
Substitute the given values we get;
by cross multiply we get;
Divide both sides by 4 we get;
h = 30 m
Therefore, the height of a cell tower is, 30 m
