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
You convert a decimal to a fraction by putting the digits to the right of the decimal point over "1" followed by the same number of zeros. (Most folks learn this in 3rd or 4th grade.)
0.66 = 66/100 . . . . . 2 decimals, so the denominator is 100
Then you reduce the fraction by canceling common factors. It helps to know your times tables and divisibility rules. (Or you can have your calculator do it.)
0.66 = 66/100 = 33/50
1.00 = 100/100 = 1
Answer:
611 square miles
Step-by-step explanation:
Area of triangle = (1/2)*a*b*sinC (formula when u are not given the height of the triangle, but u are given with the angle.)
= (1/2)*30*47*sin(60°)
= 610.54 square miles (2 d.p)
≈611 square miles (rounded to nearest mile)
:)
Answer:
The state itself is 50% of the total height.
Explanation:
Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.
Thus, it is (150/300)*100% = 50% of the total height.
First, find the area of each of the prisms sides
5 by 5.5 = 27.5
3 by 5.5 = 16.5
4 by 3 cut in half = 6 (theres 2 of thoses so 12)
4 by 5.5 = 22
Add up the products and the surface area is 78 units
Post brainliest if this helped :)
