Answer:
![-17x = 234](https://tex.z-dn.net/?f=%20-17x%20%3D%20234%20)
Step-by-step explanation:
![\dfrac{2x}{3} - \dfrac{5x}{9} - \dfrac{x}{6} - \dfrac{5x}{12} = \dfrac{13}{2}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B2x%7D%7B3%7D%20-%20%5Cdfrac%7B5x%7D%7B9%7D%20-%20%5Cdfrac%7Bx%7D%7B6%7D%20-%20%5Cdfrac%7B5x%7D%7B12%7D%20%3D%20%5Cdfrac%7B13%7D%7B2%7D%20)
First, we find the LCD. It is 36. Multiply both sides by 36.
![36\left(\dfrac{2x}{3} - \dfrac{5x}{9} - \dfrac{x}{6} - \dfrac{5x}{12}\right) = 36\left(\dfrac{13}{2}\right)](https://tex.z-dn.net/?f=%2036%5Cleft%28%5Cdfrac%7B2x%7D%7B3%7D%20-%20%5Cdfrac%7B5x%7D%7B9%7D%20-%20%5Cdfrac%7Bx%7D%7B6%7D%20-%20%5Cdfrac%7B5x%7D%7B12%7D%5Cright%29%20%3D%2036%5Cleft%28%5Cdfrac%7B13%7D%7B2%7D%5Cright%29%20)
![36\left(\dfrac{2x}{3}\right) - 36\left(\dfrac{5x}{9}\right) - 36\left(\dfrac{x}{6}\right) - 36\left(\dfrac{5x}{12}\right) = \dfrac{36}{2}(13)](https://tex.z-dn.net/?f=%2036%5Cleft%28%5Cdfrac%7B2x%7D%7B3%7D%5Cright%29%20-%2036%5Cleft%28%5Cdfrac%7B5x%7D%7B9%7D%5Cright%29%20-%2036%5Cleft%28%5Cdfrac%7Bx%7D%7B6%7D%5Cright%29%20-%2036%5Cleft%28%5Cdfrac%7B5x%7D%7B12%7D%5Cright%29%20%3D%20%5Cdfrac%7B36%7D%7B2%7D%2813%29%20)
![\dfrac{36}{3}(2x) - \dfrac{36}{9}(5x) - \dfrac{36}{6}(x) - \dfrac{36}{12}(5x) = 18(13)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B36%7D%7B3%7D%282x%29%20-%20%5Cdfrac%7B36%7D%7B9%7D%285x%29%20-%20%5Cdfrac%7B36%7D%7B6%7D%28x%29%20-%20%5Cdfrac%7B36%7D%7B12%7D%285x%29%20%3D%2018%2813%29%20)
![12(2x) - 4(5x) - 6(x) - 3(5x) = 234](https://tex.z-dn.net/?f=%2012%282x%29%20-%204%285x%29%20-%206%28x%29%20-%203%285x%29%20%3D%20234%20)
![24x - 20x - 6x - 15x = 234](https://tex.z-dn.net/?f=%2024x%20-%2020x%20-%206x%20-%2015x%20%3D%20234%20)
![-17x = 234](https://tex.z-dn.net/?f=%20-17x%20%3D%20234%20)
Volume of cone = 1/3 pi r(squared).h
Volume of Cylinder = pi r(squared).h
By the problem, they are equal.
So,
1/3 pi.12^2.12= pi 8^2.h
h= 144.4/64 =9
height of the cylinder is 9cms
Answer:
I believe it is A because if you use the slope x it matches with the line.
Answer:
7/3/5/6= 2.8
Step-by-step explanation:
Answer: the answer is A
Step-by-step explanation: