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Three points belong to the same straight line. Can we build a plane, which contains these three points? Explain your answer.
A cone has a slant side measure (m) and a semi-vertical angle 2(x). Prove that the measure r of the radius of the sphere inscribed in the cone is given by:
r = (m sin(4x))/2(1+sin(2x))
There are four points, which don’t belong to the same plane. Can any three of these points belong to the same straight line? Explain your answer.
There are two straight lines, which intersect. Can we draw a straight line which doesn’t belong to the plane, to which given lines belong, through the intersection point? Explain your answer.
Shown are the percent frequency distributions of job satisfaction scores for a sample of investment banking executive managers (IB) and investment banking financial advisers. The scores range from a low of I (very dissatisfied) to a high of 5 (very satisfied).
a. Develop a probability distribution for the job satisfaction score of an executive manager.
b. Develop a probability distribution for the job satisfaction score of a financial adviser.
c. what is the probability an executive manager will re
Surface squares of two spheres refer as m:n. How do their volumes refer?
How many symmetry planes a regular (a) octahedron, (b) dodecahedron, (c) icosahedron has?
On the chessboard (8x8) all field centers are marked. Is it possible to break the board into the parts with thirteen straight lines so that within each of these parts there was no more than one marked point?
According to third law of motion we say that "action and reaction are equal in magnitude but opposite in direction" but if we throw a ball from a building to earth it will touch the earth and go back but it will not reach to the floor of building from which we had throw the ball. Can you explain this?
Five points are located within an equilateral triangle with the sides of 1. Prove that the distance between each pair of them is less than 0.5.
