height = 15 cm
the volume (V) of a cylindrical can is
V = πr²h ( r is the radius and h the height )
here d = 8 cm ⇒ r = 4 cm
π × 4² × h = 753.6
16πh = 753.6 ( divide both sides by 16π )
h = 753.6 / 16π = 14.99 ≈ 15 cm
For this problem, we are going to use the <em>law of sines</em>, which states:
In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, 
. Then, we can find the third side. Using the law of sines, we can find:
We can use this to solve for :
Now, we can find 
:
Using this, we can find 
:
c is approximately 17.5.
The answer to the question
Point-slope form: y - y₁ = m(x - x₁)
(m is the slope, (x₁, y₁) is the point you are given that is on the line)
You know:
m = 5
(x₁, y₁) = (-2, -3) So substitute/plug it into the equation
y - y₁ = m(x - x₁)
y - (-3) = 5(x - (-2)) (two negative signs cancel each other out and become positive)
y + 3 = 5(x + 2) Your answer is A
