Answer:
The volume of the water in the pool is 1,017 cubic feet
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
![V=\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h)
we have
----> the radius is half the diameter
Remember that
![1\ ft=12\ in](https://tex.z-dn.net/?f=1%5C%20ft%3D12%5C%20in)
so
![6\ in=6/12=0.5\ ft](https://tex.z-dn.net/?f=6%5C%20in%3D6%2F12%3D0.5%5C%20ft)
To find out the height of the water, subtract 0.5 feet from the height of the swimming pool
![h=4.5-0.5=4\ ft](https://tex.z-dn.net/?f=h%3D4.5-0.5%3D4%5C%20ft)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
Find the volume of the water
![V=(3.14)(9^{2})(4)](https://tex.z-dn.net/?f=V%3D%283.14%29%289%5E%7B2%7D%29%284%29)
![V=1,017\ ft^3](https://tex.z-dn.net/?f=V%3D1%2C017%5C%20ft%5E3)
Removing the brackets gives 4a -2b +c -5c - a + 4b and then collect the like terms to get 3a + 2b - 4c
Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
Answer:
y=9cm
x=90°
Step-by-step explanation:
y=9cm(being perpendicular)
x=90°=being perpendicular)