4-2=2
3.85 rounded to the nearest one is 4
2.17 rounded to the nearest one is 2
Answer: ![77.283km^{2}](https://tex.z-dn.net/?f=77.283km%5E%7B2%7D)
Step-by-step explanation:
The formula for the lateral area of a cone
is:
![L.A=\pi r h](https://tex.z-dn.net/?f=L.A%3D%5Cpi%20r%20h)
Where:
is the radius of the circular base of the cone
As we know its diameter
, its radius is ![r=\frac{d}{2}=10km](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D10km)
is the height of the cone
![L.A=\pi (10km)(2.46km)](https://tex.z-dn.net/?f=L.A%3D%5Cpi%20%2810km%29%282.46km%29)
This is the lateral area of the volcano with the shape of a cone
Answer:
We have,
\frac{63(p^4 + 5p^3 - 24p^2)}{ 9p(p + 8)}
=\frac{63p^2(p^2 + 5p - 24)}{9p(p + 8}
=\frac{7p(p^2 + 5p - 24)}{(p + 8)}
Splitting the middle term, we get
=\frac{7p(p^2 + 8p-3p - 24)}{(p + 8)}
=7p[\frac{p(p+8)-3(p+8)}{(p+8)} ]
=7p[\frac{(p+8)(p-3)}{p+8}]
=7p(p-3)
Hence the solution is 7p(p-3).