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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 what shape is produced?

An ellipse is produced.


If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex as in the picture below what shape is produced?

A line is produced


What shape is produced if a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex?

An Ellipse


If a circular cone is intersected by a plane so that the intersection goes through its vertex as well as the edge of the nappe what shape is produced?

If I understand your description correctly, a line.


If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe as in the picture below what shape is produced?

When a right circular cone is intersected by a plane that passes through its vertex and touches the edge of each nappe, the resulting shape is a triangle. This triangle is formed by the intersection line extending from the vertex to the edges of the cone's surfaces, effectively creating a triangular cross-section of the cone.


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?

It will be a hyperbola.


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?

hyperbola


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?

hyperbola


If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?

If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.


What shape is the magnetic field produced when current is passed through wire?

CIRCULAR


Why is bologna shaped like a circle?

When it is produced it is processed through a tube, giving it a circular shape.


How many pairs of alternate interior angles are formed by two lines that are intersected by a transversal?

Providing that the lines are parallel that the transversal passes through then it will have two equal alternate angles that are on opposite sides of the transversal.