Answer:
angle C = 36°
Step-by-step explanation:
Fun fact that I found out:
all interior angles of a triangle added together = 180°
5x + 3x + 2x = 180°
combine like terms:
10x = 180°
divide both sides of the equation by 10:
x = 18°
angle C = 2(18°) = 36°
Answer:
Step-by-step explanation:
If Brenna has 5 candy bars and she wants to give 1/4 to a person,
she will give 1/4 to 20 people
one way to see it is by counting the bars
or
5/(1/4)=5*4=20
when you divide a fraction you multiply with the reciprocal
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
![V_{2} = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
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
![V_{2} = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![V_{2} = \frac{4}{3} * \pi * 3^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cpi%20%2A%203%5E3)
![V_{2} = \frac{4}{3} * \pi * 27](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cpi%20%2A%2027)
![V_{2} = \frac{108}{3} * \pi](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B108%7D%7B3%7D%20%2A%20%5Cpi)
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