It's very simple: It's the surface of a base times the height
![(4 \times 4) \times 15 = 16 \times 15 = 240 {ft}^{3}](https://tex.z-dn.net/?f=%284%20%5Ctimes%204%29%20%5Ctimes%2015%20%3D%2016%20%5Ctimes%2015%20%3D%20240%20%7Bft%7D%5E%7B3%7D%20)
55hours times .17 will give you the answer.
Sarah spends 9.35hours on air.
Option C:
![2 g^{3}-5 g^{2}+6](https://tex.z-dn.net/?f=2%20g%5E%7B3%7D-5%20g%5E%7B2%7D%2B6)
Solution:
Given expression:
![$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Cleft%285%20g%5E%7B4%7D%2B5%20g%5E%7B3%7D-17%20g%5E%7B2%7D%2B6%20g%5Cright%29-%5Cleft%283%20g%5E%7B4%7D%2B6%20g%5E%7B3%7D-7%20g%5E%7B2%7D-12%5Cright%29%7D%7Bg%2B2%7D)
To find which expression is equal to the given expression.
![$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Cleft%285%20g%5E%7B4%7D%2B5%20g%5E%7B3%7D-17%20g%5E%7B2%7D%2B6%20g%5Cright%29-%5Cleft%283%20g%5E%7B4%7D%2B6%20g%5E%7B3%7D-7%20g%5E%7B2%7D-12%5Cright%29%7D%7Bg%2B2%7D)
Expand the term ![-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12](https://tex.z-dn.net/?f=-%5Cleft%283%20g%5E%7B4%7D%2B6%20g%5E%7B3%7D-7%20g%5E%7B2%7D-12%5Cright%29%3A-3%20g%5E%7B4%7D-6%20g%5E%7B3%7D%2B7%20g%5E%7B2%7D%2B12)
![$=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B5%20g%5E%7B4%7D%2B5%20g%5E%7B3%7D-17%20g%5E%7B2%7D%2B6%20g-%203%20g%5E%7B4%7D-6%20g%5E%7B3%7D%2B7%20g%5E%7B2%7D%2B12%7D%7Bg%2B2%7D)
Arrange the like terms together.
![$=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B5%20g%5E%7B4%7D-%203%20g%5E%7B4%7D%2B5%20g%5E%7B3%7D-6%20g%5E%7B3%7D-17%20g%5E%7B2%7D%2B7%20g%5E%7B2%7D%2B6%20g%2B12%7D%7Bg%2B2%7D)
![$=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B2%20g%5E%7B4%7D-%20g%5E%7B3%7D-10%20g%5E%7B2%7D%2B6%20g%2B12%7D%7Bg%2B2%7D)
Factor the numerator ![2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)](https://tex.z-dn.net/?f=2%20g%5E%7B4%7D-g%5E%7B3%7D-10%20g%5E%7B2%7D%2B6%20g%2B12%3D%28g%2B2%29%5Cleft%282%20g%5E%7B3%7D-5%20g%5E%7B2%7D%2B6%5Cright%29)
![$=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%28g%2B2%29%5Cleft%282%20g%5E%7B3%7D-5%20g%5E%7B2%7D%2B6%5Cright%29%7D%7Bg%2B2%7D)
Cancel the common factor g + 2, we get
![=2 g^{3}-5 g^{2}+6](https://tex.z-dn.net/?f=%3D2%20g%5E%7B3%7D-5%20g%5E%7B2%7D%2B6)
Hence option C is the correct answer.
The equation used to find the equation of a cone is
×radius²×height/3
Find your dimensions so it is easy to plug them into the equation:
radius: 4in
height: 9in
Plug these values into your equation:
×(4)²×9/3The volume of the cone is 150.8in³
-E :)
Answer:
4 tacos
Step-by-step explanation:
according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now