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BMAD

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Everything posted by BMAD

  1. Describe the dimensions needed to fold a single sheet of paper into a sphere.
  2. A ladder of length L is carried horizontally around a corner from a hall 5 feet wide into a hall 7 feet wide. What is the length of the ladder?
  3. What would be the remainder when 3^4^5^6^7 ... so on through infinity is divided by 17?
  4. Find all base-10 numbers that, when multiplied by eight, have exactly the same digits as their base-3 counterparts
  5. I am flattered as this is very similar to one of my old questions. Except, mine shot for a duration as opposed to a finite number of times.
  6. My English skills are missing the subtlety of what you are saying. Please, if you don't mind, can you you elaborate.
  7. Did this prove that it only works on 45-45-90 and 30-60-90 triangles or for all right triangles?
  8. John amd Julie are both good badminton players. Is it more likely that julie will win 5 out of 9 games or 4 out of 7?
  9. Yes. I see now that i left out a bit in the OP. It was meant to be read as "when c is increased by one, d has to decrease by two to keep the same OVERALL median.
  10. It is meant to be median, the condition a <b <c <d only holds true in the initial conditon. If c is increased and d is decreased but the median is maintained... the implication should be clear.
  11. Assume that a < b < c < d. The mean of four whole numbers is 78. The median of a and b is 65. When c is increased by one, d has to decrease by two to keep the same median. What is the possible range of d values?
  12. Oh, lol. I was looking at it backwards
  13. this doesnt appear to be infinite though
  14. Great observation, and you'd only need two of them actually. Hidden Content
  15. Keeping up with the triangle motif we've seen lately... Suppose you have a regular hexagon. How many equilateral triangles can you pack in it if each vertex must touch an edge of the hexagon? What if the restriction was reduced to only needing to touch two edges of the hexagon?
  16. I did not like the time it took to install and at first my apps, games and such did not work right but surprisingly it fixed itself (or made my stuff compatible??) and is running smoothly. I definitely like it more than 8.1
  17. Purely a hypothesis but i bet we can show that only certain triangles can produce other similar triangles using the fact that for each triangle one of its angles must meet with the other two at a point giving a+b+c=180. While the sides maintain a proportional relationship. This sounds like we can create functions and then maybe prove the limitations of the angles...idk
  18. That is what my follow up question was getting at. But in a 90 degree triangle, where a>b>c, are the three similar triangles restricted in that only certain triangles can be produced? But yes, my op is for ANY triangle. I woulf love to see your trapezoid solution araver. ...side note, how did my follow question drop below bonanova's when my question was asked earlier?
  19. I found my mistake. LOL one day, I will be sure to have the answer to my own questions.
  20. Is the non-90 degree angle that is other wise indicated open to be any measure?
  21. Though your answer makes sense, i am going to hold out a little because i have a slightly different answer.
  22. If the area of the innermost circle is Pi, what is the area of the red region?
  23. Partition a triangle into three similar pieces where none of it are congruent.
  24. White bishop should be able to reach all white squares in two moves.
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