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Does there exist a polyhedron, whose orthogonal projections on some three planes are a quadrilateral, a hexagon and an octagon?
Please help me with this one, I also need a short justification. Thanks
Straight line
passes through the center of a square , whose area is . Let denote the shortest distances between line and points respectively. How to prove that ?A rectangular prism, of which the base is a square, has a diagonal of length d, and the total area of all its faces is b. In terms of b and d, what is the total length of all its edges?
We have a set of points on a plane, and each point has been coloured either red or blue. How to prove that there exists a right and isosceles triangle, whose vertices are all the same colour?
Help!
Hey guys! I have 2 algerbra problems and I have no idea even where to begin . So could you please solve these problems and *explain* the solution to me?
1) Determine the number of solutions of the following set, depending on the parameter a.
2) Determine all positive integers
such that is a prime number, and is divisible by 3.Thanks!
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