Answer:
5 meters
Step-by-step explanation:
A=a+b/2*h
40=10+6/2*h
40=8h
h=5
35,569.92 L of water is required to fill the pool
Step-by-step explanation:
- Step 1: Find the area of the circular pool when radius = 20/2 = 10 ft
⇒ Area = πr² = 3.14 × 10² = 314 ft²
- Step 2: Find the volume of the pool
Volume = Area × Depth
= 314 × 4 = 1256 ft³
- Step 3: Convert the volume into liters.
Volume of water = 1256 × 28.32 = 35,569.92 L (∵1 ft³ = 28.32 L)
Answer:
(x+1.2)2=68.3
Step-by-step explanation:
(x+1.2)2=68.3
Answer:
x + 61 = 411
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350
Answer:
Y' = -xsin(2x) + 2cos(2x)
Step-by-step explanation:
For this problem, we will need to use the product rule since you have two terms that contain the variable x.
The product rule is simply as follows:
The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.
Note the derivative of 2x with respect to x, is 2.
Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).
With this in mind, let's find the derivative of our function with respect to x.
Y = 2xcos2x
Y = 2x * cos(2x)
Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)
Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)
Y' = (-x)sin(2x) + 2cos(2x)
So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.
Cheers.
