Answer:
The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)
Step-by-step explanation:
Given
<em>Cylinder</em>
Radius = 3 inches
Height = 7 inches
<em>Sphere</em>
Radius = 3 inches
Required
The difference in the amount of wax needed to make a candle from each of these molds
The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds
The volume of a cylinder is calculated using
<em>V₁ = πr²h</em>
where r and h are the radius and the height of the cylinder, respectively.
r = 3 in and h = 7 in
The volume of a sphere is calculated using
where r is the radius of the sphere
r = 3 in
Calculating V₁
V₁ = πr²h
V₁ = π * 3² * 7
V₁ = π * 9 * 7
V₁ = π * 63
V₁ = 63π
Calculating V₂
V₂ = 36π
Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.
Difference = V₁ - V₂
Substituting 63π for V₁ and 36π for V₂
Difference = 63π - 36π
Difference = 27π
<em>(Taking π = 3.14)</em>
Difference = 27 * 3.14
Difference = 84.78
Hence, difference in the amount of wax needed is 84.78 in³
<u>Your answer is 28x^2-37x+12</u>
<u>1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd</u>
28x^2-21x-16x+12
<u>2) Collect like terms</u>
28x^2+(-21-16x)+12
<u>3) Simplify</u>
28x^2-37x+12
Answer: 
Step-by-step explanation:
You need to analize the information provided in the exercise.
Observe the given figure.
You know that the line AC and and the line BD are parallel and they are cut by a transversal.
By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".
Alternate Interior Angles are congruent, which means that they have equal measure.
Knowing this, you can identify that the angle "p" and the angle "n" are Alternate Interior Angles, therefore:
Answer:
25.7minutes
Step-by-step explanation:
D =r×t=2×1.5=3miles
A D=7÷2=3.5
7=1h. 3.5=30minutes.
3.5=30
0.5=x
3.5x÷3.5=15÷3.5
X=4.3
(3.5-0.5)=(30-4.3)
Hence it takes Amanda 25.7minutes to catch up with Ben.
Answer: 56%
Step-by-step explanation:
There are 750 total people in this crowd.
420 are women and their percentage of the total is needed.
You get this by dividing the number of women by the total number of spectators and then multiplying by 100%:
= Number of women/ Total people * 100%
= 420 / 750 * 100%
= 56%
