The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. what is the shape of the cross section formed?

The cross-section that is obtained by this slicing is:

Hyperbola.

Step-by-step explanation:

If a double cone is intersected by a vertical plane passing through the point where the tips of the cones meet then the shape of the cross-section that is obtained by this slicing will be a hyperbola.

( Since the plane cuts both the sections of the cone and hence we will get a curve on both the cones opening in the opposite direction and hence such a figure that is obtained is called a hyperbola)

A pair of intersecting lines .

Step-by-step explanation:

An  hyperbola is formed when a vertical plane intersect the two cones, but doesn't pass through the point where the tips of the cones meet. Vertical planes that pass through the vertex of the cones will intersect the cone in a pair of intersecting lines. This is a case of degenerate conics and some authors do not consider them to be conics at all.

In the figure attached, an hyperbola is shown. In this case, a = 0 and the asymptotes are the pair of intersecting lines.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: