nanaschool2000

Junior Member
10+ Year Member
Jun 12, 2006
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Pre-Medical
CAn someone tell me how to solve this question?

Q1. A pyramid is cut by a plane parallel to its base at a distance from the base equal to two-thirds the length of the altitude. The area of the base is 18. Find the area of the section determined by the pyramid and the cutting plane.

1) 1
2) 2
3) 3
4) 6
5) 9

Answer is B. How would you do it?

Q2. A coin is tossed three times. Find the probability of the event presented by the composite statement ~p^q if
p: exactly two heads show
q: at least two heads show

1) 1/2
2) 1/4
3) 1/6
4) 1/8
5) 3/4

The answer is D. How?

Q3. One side of a triangle is 18 inches. Inside the trangle a line segment is drawn parallel to this side, cutting off a triangle whose area is two-thirds that of the given triangle. Find the length of this segment in inches.

The answer is 6 * 6^(1/2). How?