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What is the name of a quadrilateral with one pair of parallel sides and one pair of equal sides?
A trapezium, also called a trapezoid. It is possible that one of the parallel sides of the trapezium is equal to one of the slant side. In that case the trapezium has no special name but if the two slant sides are equal, the figure would be an isosceles trapezium.
In the equation for the lateral area of a regular pyramid one can replace the slant height with the altitude of the pyramid?
False
What does a line with a constant slope or slant represent on a motion graph?
It can be more than one thing such as time
What is the surface area of a cone with slant height of 7 meters and a radius of 5 meters?
Provided that the "slant height" is actually the length of the slant (from one edge of the circle to the point on top), we can just plug in 5 for r and 7 for s into this formula:SA = pi*r2 + pi*r*sSA = pi*52 + pi*5*7SA = 60*pi = 188.5 square meters.
How do you find the perimeter of a paralellogram when only the base and height are given?
You cannot. There are an infinite number of paralellograms with the same base and height but with different "slant" sides. Imagine two parallel line segments, one directly above the other. If you were to join their ends together, they would form a rectangle. Now move the top line across. The height remains the same but the slant line becomes longer. Keep going and you can make the slant line longer and longer still.
