Varying inversely means y=a number divided by x
find the number: 7=k/5 =>k=35
so the equation is y=35/x
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder =
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus
Substitute 21 for V; this gives
Divide both sides by h
The next step is to solve for the volume of the sphere using the following formula;
Divide both sides by r
Expand Expression
Substitute
Multiply both sided by r
------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that
So,
Substitute 2r for h in equation 1
Hence, the volume of the sphere is 14m³
Richard and Teo are 7 and 24.
7 times two is 14
24 is ten more than 14
31-7 is 24
3 in = (3 in)/(1/4 in)
= (3)(4)
= 12 ft
3 3/4 in = (3 3/4 in)/(1/4 in)
= (15/4 in)(1/4 in)
= (15)(1)
= 15 ft
Therefore, the actual size of the room is 12 ft x 15 ft = 180 square ft
I think you can handle the reasoning. :D
Answer:
A = 10W - W²
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Area of a rectangle =LW
L is the length
W is the width
Given
Perimeter = 20m
20 = 2 (L+W)
10 = L+W
L = 10 - W ....2
Substitute equation 2 into the formula for calculating the area
Recall that A = LW
A = (10-W)W
A = 10W - W²
Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²