Answer:
The volume in terms of π is 144 ft³
The volume rounded to the nearest tenth is 452.4 ft³
Step-by-step explanation:
The formula of the volume of a cone is V = π r² h , where r is its radius and h is its height
The formula of the area of a circle is A = π r²
The area of the base of the cone is 36π ft²
Equate the formula of the area of the circle by 36π to find r
πr² = 36π
Divide both sides by π
r² = 36
Take √ to both sides
r = 6 ft
The height of the cone is equal to twice the radius
The radius of the cone is 6 ft
Multiply 6 by 2 to find the height
h = 2(6) = 12 ft
The height of the cone is 12 ft
Subsitute the values of h and r in the formula of the volume of the cone to find it
V = π(6)²(12)
V = 144 π ft³
V = 452.3893421 ft³
Round it to the nearest tenth
V = 452.4 ft³
Answer:
For number 2 the answer is 8/6=20/15
The answer for 3 is 12:26
Step-by-step explanation:
Answer:
1. $66
2. 30 + 4r
Step-by-step explanation:
Let
Price of admission into the park=$30
Price of every ride in the park=$4
Number of rides =x
Total cost of going to the park= 30+4x
1. How much money would Claire have to pay in total if she goes on 9 rides
Total cost of going to the park= 30+4x
When x=9
=30+4x
= 30 + 4(9)
=30 + 36
=$66
2. How much would she have to pay if she goes on r rides?
When x=r
Total cost of going to the park= 30+4x
= 30 + 4(r)
=30 + 4r
The equation with (x) in dogs and (y) in dollars is 
First, you must set up your equation.

Then, you must add like terms to simplify the equation

For a better understanding of the solution given here please go through the diagram in the file attached.
To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."
Thus, in our question, we will have:

The above equation can be rearranged as:
...(Equation 1)
If we have a proper look at the denominator which is
, we note that in
, 
Thus, (Equation 1) wil give us:

<u>Therefore, LB= 12 feet</u>