Answer:
5.000 ft
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 785.4 ft³
h = 2r
Calculations:
V = πr²h = πr²(2r) = 2πr³
Divide each side by 2π
Take the cube root of each side
![r = \sqrt[3]{\frac{V }{2\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7BV%20%7D%7B2%5Cpi%7D%7D)
![= \sqrt[3]{\frac{785.4 }{2\pi }}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B785.4%20%7D%7B2%5Cpi%20%7D%7D)
![= \sqrt[3]{125.00}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B125.00%7D)
= 5.000 ft
The radius of the cylinder is 5.000 ft.
Answer:
- 2
Step-by-step explanation:
Rate of change is the measure of the slope m
Calculate the slope using the slope formula
m = 
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (1, 0) ← 2 points on the line
m = 
= 
= - 2
Answer:
now the answer sorry for that i am in 5th grade so i dont know sorry
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
