The middle section is n(n+1)
The top row is n+2
The bottom row is 2n+1
So the rule for the total number of tiles will be the sum of the above rules...
s(n)=n(n+1)+n+2+2n+1
s(n)=n^2+n+n+2+2n+1
s(n)=n^2+4n+3
Answer:
A x=1/4
Step-by-step explanation:
2/3x = 1/6
Divide by 2/3
so 1/6 ÷ 2/3
= 1/6 • 3/2
= 3/12
= 1/4
Answer:
![T = 1300](https://tex.z-dn.net/?f=T%20%3D%201300)
Step-by-step explanation:
Given
![Radius, r = 9\ in](https://tex.z-dn.net/?f=Radius%2C%20r%20%3D%209%5C%20in)
![Height, h = 14\ in](https://tex.z-dn.net/?f=Height%2C%20h%20%3D%2014%5C%20in)
<em>See attachment</em>
<em></em>
Required
Determine the total surface area, T
T is calculated using:
![T = 2\pi r(r + h)](https://tex.z-dn.net/?f=T%20%3D%202%5Cpi%20r%28r%20%2B%20h%29)
Substitute values for r and h
![T = 2\pi * 9(9 + 14)](https://tex.z-dn.net/?f=T%20%3D%202%5Cpi%20%20%2A%209%289%20%2B%2014%29)
![T = 2\pi * 9(23)](https://tex.z-dn.net/?f=T%20%3D%202%5Cpi%20%20%2A%209%2823%29)
Remove bracket
![T = 2\pi * 9*23](https://tex.z-dn.net/?f=T%20%3D%202%5Cpi%20%20%2A%209%2A23)
![T = 2\pi * 207](https://tex.z-dn.net/?f=T%20%3D%202%5Cpi%20%20%2A%20207)
Take ![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
So, we have:
![T = 2 * 3.14 * 207](https://tex.z-dn.net/?f=T%20%3D%202%20%2A%203.14%20%2A%20207)
![T = 1299.96](https://tex.z-dn.net/?f=T%20%3D%201299.96)
--- approximated.
<em>Hence, the surface area is 1300 square inch</em>
Answer:
1/30
Step-by-step explanation:
When we are dividing fractions, we can turn it into multiplication
14/15 divided by 28
14/15 x 1/28
14/420
simplified to 1/30