84/280=.3 convert that to a decmal which is 30%
Answer: V=9651 ft^3
Explanation: This is a volume question and the formula for volume of a cylinder is πr^2h.
The radius is the diameter divided by 2, which is 8.
We can put the equation in terms of π by doing π*(8^2*48)=3072π.
Solving this gives us about 9650.972632, which you can round to get 9651.
Answer:
number of nickel = 60
number of dimes = 20
Step-by-step explanation:
1 nickel = 5 cents
1 dimes = 10 cents
$1 = 100 cents
we will use these value to solve the questions
_______________________________
Total no of coins = 80
let the number of nickels be x
let the number of dimes be y
thus,
x+y = 80
y = 80-x equation 2
value of x nickels = 5x
value of y dimes = 10y
Total value of x nickels and y dimes = 5x+10y
The total value of the coins is $5.00
total value of the coins in cents = 5*100 = 500
thus
5x+10y = 500
using y = 80-x from equation 2
5x + 10(80 - x) = 500
5x + 800 - 10x = 500
-5x = 500 - 800 = -300
x = -300/-5 = 60
Thus,
number of nickel = 60
number of dimes = 80-60 = 20
Answer:
The surface area is ![305.9\ ft^{2}](https://tex.z-dn.net/?f=305.9%5C%20ft%5E%7B2%7D)
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to
![SA=b^{2}+4[\frac{1}{2}bh]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
where
b is the length side of the square base
h is the height of the lateral triangular face
we have
![b=10\ ft](https://tex.z-dn.net/?f=b%3D10%5C%20ft)
Applying Pythagoras Theorem find the value of h
![h^{2}=9^{2}+(10/2)^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%3D9%5E%7B2%7D%2B%2810%2F2%29%5E%7B2%7D)
![h^{2}=81+25](https://tex.z-dn.net/?f=h%5E%7B2%7D%3D81%2B25)
![h=\sqrt{106}\ ft](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B106%7D%5C%20ft)
substitute in the formula
![SA=10^{2}+4[\frac{1}{2}(10)(\sqrt{106})]=305.9\ ft^{2}](https://tex.z-dn.net/?f=SA%3D10%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%28%5Csqrt%7B106%7D%29%5D%3D305.9%5C%20ft%5E%7B2%7D)
10^7 = 10,000,000
9.7x10^7 = 9.7x10,000,000
9.7x10,000,000 = 97,000,000
8.7x10^5 = 870,000
870,000x25 = 21,750,000
1. 21,750,000 new people are added after 25 years
2. The total population after 25 years is 118,750,000