astatine

I went for:
Rotate the hyperbola into standard position, 20xx - 45yy - 100 = 0.
Set y=0. Find x ie radius of circle = root5

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Eeeeeeat poppadoms,
Eeeeeeat poppadoms, yeyeah

"Theorem 15... Proof. Since cos is an odd function.."
Is cos not an even function? Or is that part of the eventual contradiction?

*biro packing

I'm sure I counted those. Wait, maybe, yeah definitely did, or, possibly not, hang on...

Multiply by 5 because you can do the same at each outer pentagon vertex. And divide by 1, 2 or 3 because that's how many times you'd count the same triangle.

Initially, I just went for it and hoped not to double count anything.

Then, noting that each triangle has at least one vertex on the outer pentagon, choose a vertex, count triangles with 1 pentagon vertex, repeat for two vertices, then three. I get 1, 8 and 6.

1x5/1 + 8x5/2 + 6x5/3 = 35

I think.

35

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I haven't seen GraspableMath before, it looks pretty good. Thanks for that one. mathswhiteboard.com is good for throwing up questions for students to try.

I haven't seen GraspableMath before, it looks pretty good. Thanks for that one. mathswhiteboard.com is good for throwing up questions for students to try.

That's quite a bathroom.