Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
Answer:
Since the two angles are across from each other that tells us that they are equal in length, so we want to set them equal to each other
3x+50=6x-10, Now we want to solve it like a normal equation, get x by itself
First add 10 to each side
3x+50+10=6x-10+10
3x+60=6x
Now we want to subtract 3x from each side
3x-3x+60=6x-3x
60=3x
Now divide both sides by 3
60/3=3x/3
20=x
x=20
Hope this helps ;)
Step-by-step explanation:
Answer:
(9,4)
Step-by-step explanation:
The given system is:
9x + 3y = 93
3x - 4y = 11
Multiply the bottom equation by 3 to get:
9x + 3y = 93
9x - 12y = 33
Subtract bottom equation from top one to get:
3y--12y=93-33
We put y-value into the bottom equation:
Answer:
b
Step-by-step explanation:
Answer:
1.625 miles.
Step-by-step explanation:
Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles long.
We have to find the length of the other side of the pasture.
Now, area if the pasture = product of it's two dimensions.
So, 0.65 = 0.4L
⇒ L = 1.625 miles. (Answer)
