Answer:
![x = 2.5](https://tex.z-dn.net/?f=%20x%20%3D%202.5%20)
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
![2(x + 2.5) = 2.5*x](https://tex.z-dn.net/?f=%202%28x%20%2B%202.5%29%20%3D%202.5%2Ax%20)
![2x + 5 = 2.5x](https://tex.z-dn.net/?f=%202x%20%2B%205%20%3D%202.5x%20)
Subtract 2x from both sides
![2x + 5 - 2x = 2.5x - 2x](https://tex.z-dn.net/?f=%202x%20%2B%205%20-%202x%20%3D%202.5x%20-%202x%20)
![5 = 0.5x](https://tex.z-dn.net/?f=%205%20%3D%200.5x%20)
Divide both sides by 0.5
![\frac{5}{0.5} = \frac{0.5x}{0.5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B0.5%7D%20%3D%20%5Cfrac%7B0.5x%7D%7B0.5%7D%20)
![2.5 = x](https://tex.z-dn.net/?f=%202.5%20%3D%20x%20)
![x = 2.5](https://tex.z-dn.net/?f=%20x%20%3D%202.5%20)
Step-by-step explanation:
Answer for question in attachment 1
Simplify (x^{2} -9)/(x^{2} -3x)
= (x-3)(x+3)/x(x-3) [ using the formula
=(x+3) /x [cancelling like terms]
= 1 +3/x
Answer for question in attachment 2
1) When the given equation is equal to 0, the solution from the graph can be obtained by finding the value of x when y = 0 .
From the graph we see that the value of y = 0 when x= -0.25 or x = 1.25
Hence the solution is x= -0.25 or x = 1.25
2)When the given equation is equal to 2, the solution from the graph can be obtained by finding the value of x when y = 2 .
From the graph we see that the value of y = 2 when x= -0.5 or x = 1.5
Hence the solution is x= x= -0.5 or x = 1.5
Answer:
a. 41.5
b, 26.5
Step-by-step explanation:
a.
2x + 6 = 180
2x = 172
x = 86
b.
2x+ 90 +26+11 = 180
2x+127 = 180
2x = 53
x = 26.5