You will use the ratio 4:8 to create a part to part to whole ratio.
First simplify 4:8 to 1:2, then make it 1:2:3 (Salt:Sugar:Total).
Use this to find the volume of sugar. 2 sugars for every 3 total would be equivalent to 200 cubic feet of sugar for every 300 total cubic feet.
Look at the corresponding angle to 82, which is to the left of line b
It also measures 82 according to "corresponding angle theorem"
Then
angle x is equal to it as they are vertical pair of angle
so that, the measure of x equals 82 degree
I hope that helps
13)
Circumference (C) = 2π·r
11π = 2π·r
11/2 = r
******************************
Area (A) = π·r²
= π·(11/2)²
= 121π/4
≈ 94.985 in²
14)
diameter = 2r
42 = 2r
21 = r
*******************
Area (A) = π·r²
= π·(21)²
= 441π
≈ 1384.74 in²
***************************
$280/1384.74 in²
x = $0.20
Answer: about 20 cents per square inch
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The amount charge per year is 
The number of members it will have at this amount is 
The amount amount increase that will lead to the loss of a single member is 
Generally the total amount the club would obtain from its members is mathematically represented as

Now let x denote the number of member lost
Hence

=> 
=> 
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

=> 
So from
we have


So the amount the club should charge is


Given : Diameter of the right circular cone ==> 8 cm
It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)
Given : Volume of the right circular cone ==> 48π cm³
We know that :

where : r is the radius of the circular cross-section.
h is the height of the right circular cone.
Substituting the respective values in the formula, we get :




<u>Answer</u> : Height of the given right circular cone is 9 cm