Answer:

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)


Subtract 2x from both sides


Divide both sides by 0.5



Answer:
20x-10
Step-by-step explanation:
Cows have
legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:

But we have two cows so (1) we have to multiply it by 2 giving a total of:

By the other hand chickens have
legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:

To find the total amount of toes we have to add (2) and (3)

12Sqrt(3)
This is because we can find the height and base of the triangle by using 30-60-90 triangles. Because the center point bisects the 60 degree angles in each corner, we can make 30-60-90 triangles. Then using porportions, you'll find the height of the triangle is 6 and the base is 4sqrt(3). Then use the area of a triangle formula.
Answer:
20
Step-by-step explanation:
ƒ(x) = 3x² – 2
g(x) = 4x + 2
1. Add the functions
By definition,
(ƒ + g)(x) = ƒ(x) + g(x)
3x² - 2
<u> + 4x + 2
</u>
3x² + 4x
(ƒ + g)(x) = 3x² + 4x
2. Evaluate (ƒ + g)(2)
(ƒ + g)(2) = 3(2)² + 4(2) = 3(4) + 8 = 12 + 8 = 20
Answer:
1/2
Step-by-step explanation:
Probably of selecting a boy:
20/30 = 2/3
and brought 10 up to 20:
45/60 = 3/4
so Probably of selecting a boy and brought 10 up to 20:
2/3 x 3/4 = 2/4 = 1/2