Answer:
r = 6 3/23
Step-by-step explanation:
-128+138r=718
add 128 to each side
-128+128+138r=718+128
138r = 846
divide each side by 138
138r/138 = 846/138
r = 846/138
divide top and bottom by 2
r = 423/69
divide top and bottom by 3
r = 141/23
change this to a mixed number
r = 6 3/23
X=4
After squaring both sides, you get
4(x+5)=x^2-20x+100
Multiply
4x+20=x^2-20x+100
Collect like terms
4x+20-x^2+20x-100=0
Reorder
24x-80-x^2=0
Change signs & Write as difference. You end up with
x^2-4x-20x+80=0
Factor
x-4=0 , x-20=0
4=4 , 0=20
x=4
Divide the amount spent on utilities (285 dollars) over the total expenses (2376 dollars) to get...
285/2376 = 0.1199
which is approximate
Move the decimal over 2 spots to the right to go from 0.1199 to 11.99% which is the final answer (this is approximate as well)
Note: Moving the decimal over 2 spots to the right is the same as multiplying by 100. So that means 0.1199*100% = 11.99%
Answer:
The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
Step-by-step explanation:
Given that,
Radius = 9
According to figure,
Radius of cylinder = Radius of hemisphere
Center of cylinder base is also center of sphere.
Circular top of cylinder touching the top of hemisphere.
So, Height of cylinder = radius of hemisphere
Hence, The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
