If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone, as the picture below, what shape is produced?

C. An ellipse

Step-by-step explanation:

If you cut a cone on the side with an angle that will produce an ellipse-shaped plane.

if you were to cut the cone perpendicularly to its height (as if the double cone on the picture was straight up), you would get a circle as the plane, because it would be a transversal cut of a circular cone.

If you cut it with an angle, you're stretching the circle... so you'll have an ellipse.

It is NOT a parabola NOR a hyperbola, since both would require the cross-section to go through the base... which it does not in this problem.  Please refer to the image below.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !