The length of a piece of cardboard is five inches more than the width. The four corners are cut off so that the sides can be folded up to form a box. Each of the cut corners measures one and a half inches by one and a half inches, and the volume of the box is 189 cubic inches. What are the original dimensions of the piece of cardboard?
The heliocentric model of Copernicus was extremely controversial in its time, but it wasn’t the end of the story. Johannes Kepler used the data of his boss, Tycho Brahe, to further corroborate it, but also show that the planets do not move on circular orbits, they move on elliptical orbits. This ended up being the…
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