Answer : 3r+5 hope this helps!
Let's set it up like this:
![0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}](https://tex.z-dn.net/?f=0.513%3D%5Cfrac%7B%5Cleft%282x%5Cright%29%5E2%7D%7B%5Cleft%280.05-x%5Cright%29%7D)
Multiply both sides by
![0.05-x](https://tex.z-dn.net/?f=0.05-x)
![0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)](https://tex.z-dn.net/?f=0.513%5Cleft%280.05-x%5Cright%29%3D%5Cfrac%7B%5Cleft%282x%5Cright%29%5E2%7D%7B0.05-x%7D%5Cleft%280.05-x%5Cright%29)
![0.513\left(0.05-x\right)=4x^2](https://tex.z-dn.net/?f=0.513%5Cleft%280.05-x%5Cright%29%3D4x%5E2)
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
![x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B0.513%2B%5Csqrt%7B0.673569%7D%7D%7B8%7D%2C%5C%3Ax%3D%5Cfrac%7B%5Csqrt%7B0.673569%7D-0.513%7D%7B8%7D)
The variable
![x](https://tex.z-dn.net/?f=x)
can be both positive or negative.
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />
Answer:
4 cm
Step-by-step explanation:
![\frac{8}{ST} = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7BST%7D%20%20%3D%20%5Cfrac%7B4%7D%7B2%7D%20%5C%5C%5C%5CST%20%3D%208%2A2%20%2F%204%5C%5CST%20%3D%204)
Answer:
The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
Step-by-step explanation:
Formula
![Volume\ of\ a\ cylinder = \pi r^{2} h](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20a%5C%20cylinder%20%3D%20%5Cpi%20r%5E%7B2%7D%20h)
![Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20a%5C%20cone%20%3D%20%5Cpi%20r%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D)
Where r is the radius and h is the height .
As given
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.
![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
Thus
![Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20a%5C%20cylinder%20%3D3.14%5Ctimes%205%5Ctimes%202%5Ctimes%202)
= 62.8 cm³
Thus the volume of a cylinder is 62.8 cm³ .
![Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20a%5C%20cone%20%3D%203.14%5Ctimes%202%5Ctimes%202%5Ctimes%20frac%7B5%7D%7B3%7D)
![Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20a%5C%20cone%20%3D%5Cfrac%7B5%5Ctimes%203.14%5Ctimes%202%5Ctimes%202%7D%7B3%7D)
![Volume\ of\ a\ cone =\frac{62.8}{3}](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20a%5C%20cone%20%3D%5Cfrac%7B62.8%7D%7B3%7D)
= 20.9 (Approx) cm³
Thus the volume of a cone is 20.9 cm³ .
Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
Answer:
Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”. Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution.
Step-by-step explanation: