Answer:
w = 10, l = 14
Step-by-step explanation:
perimeter = 2w + 2l
width = w
length = 3w - 16
48 = 2(w) + 2(3w - 16)
48 = 2w + 6w - 32
48 = 8w - 32
80 = 8w
w = 10
since w= 10,
l = 3(10) - 16 = 14
Answer:
P = 55°
K = 27°
Step-by-step explanation:
55° + 98° + c = 180°
153° + c = 180°
c = 27°
since C is opposite K, K = 27°
Since 55° is opposite P, P = 55°
We can check this by adding up the values of P, K, and 98
27°+55°+98° = 180°
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
Answer:
120 miles
Step-by-step explanation:
Ms. Turner drove 90 miles in March. In January, she drove 1/3 as much as in March.
90 ÷ 3 = 30 miles in January
She drove 4 times as many miles in February as she did in January. In January, she drove 30 miles.
30 x 4 = 120 miles in February