<h2>
Explanation:</h2>
Remember you have two write complete questions in order to get good and exact answers. Here I'll assume you want to isolate the radius (r). So:
The formula for the lateral surface area of a cylinder is:
![S=2\pi rh \\ \\ \\ Where: \\ \\ S:Lateral \ surface \ area: \\ \\ r:Radius \\ \\ h:Height[tex][tex]Dividing \ both \ sides \ by \ 2\pi h: \\ \\ S=2\pi rh \\ \\ \frac{S}{2\pi h}=\frac{2\pi rh}{2\pi h} \\ \\ \\ Finally: \\ \\ \boxed{r=\frac{S}{2\pi h}}](https://tex.z-dn.net/?f=S%3D2%5Cpi%20rh%20%5C%5C%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20S%3ALateral%20%5C%20surface%20%5C%20area%3A%20%5C%5C%20%5C%5C%20r%3ARadius%20%5C%5C%20%5C%5C%20h%3AHeight%5Btex%5D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Btex%5DDividing%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%202%5Cpi%20h%3A%20%5C%5C%20%5C%5C%20S%3D2%5Cpi%20rh%20%5C%5C%20%5C%5C%20%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D%3D%5Cfrac%7B2%5Cpi%20rh%7D%7B2%5Cpi%20h%7D%20%5C%5C%20%5C%5C%20%5C%5C%20Finally%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Br%3D%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D%7D)
<h2>Learn more:</h2>
Cylinder: brainly.com/question/12248187
#LearnWithBrainly
Answer:
Need to see answers, can't solve without
Step-by-step explanation:
The solution for x is equal to x = (4 · y) / (r + 6).
<h3>How to find an explicit solution of an algebraic equation</h3>
In this problem we have an equation formed by three variables (r, x, y) and a constant and we are asked to clear x as a function of r and y. Now we present the entire procedure:
(r · x + 6 · x) / y = 4 Given
(r · x + 6 · x) = 4 · y Defintion of division / Associative property / Compatibility with multiplication / Existence of multiplicative inverse / Modulative property
x · (r + 6) = 4 · y Distributive property
x = (4 · y) / (r + 6) Compatibility with multiplication / Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result
The solution for x is equal to x = (4 · y) / (r + 6).
To learn more on equations: brainly.com/question/10413253
#SPJ1
In (A) statistics class Wilson's students earn a higher ratio of a's to b's.
<h3>
What are ratios?</h3>
- A ratio in mathematics describes how many times one number contains another.
- For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six.
- Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
To find the higher ratio:
Given -
- Geometry class = a:b = 12:20 = 3:5
- Statistics class = a:b = 11:15
As we can observe that 3:5 < 11:15.
Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.
Know more about ratios here:
brainly.com/question/2328454
#SPJ4
By similar triangles:-
2 / x = x / 4
x^2 = 8
x = sqrt 8 = 2.83
y^2 = 4^2 + x^2
= 16 + 8
y = sqrt24 = 4.90
