Solve Math Problems With Solutions Drexel Arts Administration Thesis
You are usually told how long each person takes to paint a similarly-sized house, and you are asked how long it will take the two of them to paint the house when they work together.
Many of these problems are not terribly realistic — since when can two laser printers work together on printing one report?
The gist of this theorem is that you'll always be able to create a convex quadrilateral with five random dots, regardless of where those dots are positioned. But for a pentagon, a five-sided shape, it turns out you need nine dots. More importantly, there should be a formula to tell us how many dots are required for any shape.
"Work" problems usually involve situations such as two people working together to paint a house.
If you're not sure how you'd do this, then think about it in terms of nicer numbers: If someone goes twice as fast as you, then you take twice as long as he does; if he goes three times as fast as you, then you take three times as long as him.
Mathematicians have tried millions of numbers and they've never found a single one that didn't end up at 1 eventually.
But they also haven't been able to prove that such a box doesn't exist, so the hunt is on for a perfect cuboid. The loop doesn't have to be a circle, it can be any shape you want, but the beginning and the end have to meet and the loop can't cross itself.
It should be possible to draw a square inside the loop so that all four corners of the square are touching the loop.
But squares are tricky, and so far a formal proof has eluded mathematicians.
The happy ending problem is so named because it led to the marriage of two mathematicians who worked on it, George Szekeres and Esther Klein.