Answer:
366.5cm³
Step-by-step explanation:
1. Determine the height and radius of cone.
2. Using the formula for the volume of a cone input where there is an h and r.
3.Where it says Area of base, it is talking about the circular base and that you need to find its area. (π×r²), you already have the radius so you put it in the formula and solve (π×5²)
4. Once you have the area of the base you can now completely solve. Multiply ⅓×(78.54)×14
Answer:
Step-by-step explanation:
a). tan(75°) = 
= 
k = 
k = 2.947
k = 2.95 cm
b). cos(52°) = 
s = 
s = 25.988
s ≈ 25.99 cm
c). sin(5°) = 
= 
q = 
q = 184.727
q ≈ 184.73 cm
Answer:
Step-by-step explanation:
If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is

We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.
The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:
which simplifies to

Now we will solve it for x.
and
so
