You have 11 items and you need to choose 5 of the 11.
There are 462 ways to choose them.
The formula is :
11! / (5!6!)
n!/(r!(n-r)!)
A) the perimeter of a triangle is the bottom plus the left slanty side plus the right slanty side, but you need the bottom in ft so that would be 6 ft. the perimeter is 13 ft
b) 1 yard
Answer:
Approximately ![238\ gallons](https://tex.z-dn.net/?f=238%5C%20gallons)
Step-by-step explanation:
we know that
The volume of a cylinder (barrel) is equal to
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
in this problem we have
![h=4.5\ ft](https://tex.z-dn.net/?f=h%3D4.5%5C%20ft)
-----> the radius is half the diameter
substitute
![V=(3.14)(1.5^{2})(4.5)=31.7925\ ft^{3}](https://tex.z-dn.net/?f=V%3D%283.14%29%281.5%5E%7B2%7D%29%284.5%29%3D31.7925%5C%20ft%5E%7B3%7D)
<u>Convert to gallons</u>
![31.7925\ ft^{3}*7.5=238.44\ gallons](https://tex.z-dn.net/?f=31.7925%5C%20ft%5E%7B3%7D%2A7.5%3D238.44%5C%20gallons)
The answer is 35/2 or 17.5