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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 243/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| 4325x - x = 438127458902. 438127458902/4324 = 101324574.2 = x. Give me a break, I was out all day. |
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JJ64 Boo Level: 45 Posts: 817/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| And so the battle for first begins... Scores 1st. Grey-18 points 2nd. Heian-794-15 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 60 (1 point)- Solve the following right triangles (Both sides and angles) Triangle 1: (Sides 40, 50, 60) Triangle 2: (Sides 10, 70, 79) Triangle 3: (Sides 53, 62, 57) Triangle 4: (Sides 31, 32, 65) Triangle 5: (Sides 10, 10) |
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NSNick Laidback Admin Level: 85  Posts: 721/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| Are you sure all of these are right triangles? | |||
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 244/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Ha, I'm not out yet! 1, 2, 3, and 4 aren't right, hell, 4 isn't even a triangle (one side's bigger than the other two combined). So I don't need to solve them right? 5's got sides 10, 10, and 14.1421 with angles 45, 45, and 90 respectively. |
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Heian-794 Red Super Koopa Level: 44 Posts: 319/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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Oh, sure, put up trivial ones when I'm asleep and then use four-variable equations and exponentials when I'm awake!  JJ, what was the other solution to the number sequence? I just realized that I transcribed mine incorrectly (729 is 3^6, not 3^4) and have fixed it. I had to find a way to get the numbers growing really quickly, so I thought of exponentials, and the only interesting thing about 689 that I could come up with was that it was 729 - 40, or 93 - 10 x 22. Since 11 is also 1(any power) + 10 x 1, you can work from that to get some numbers on either side. |
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JJ64 Boo Level: 45 Posts: 820/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Heian-794, it was 0^1+1^0, then 2^1+3^2, then 4^3+5^4, then of course, 6^5+7^6, and so on. Also, NSNick, I knew they weren't right triangles. Scores 1st. Grey-19 points 2nd. Heian-794-15 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 61 (1 point)- Solve the following equation: 10 x (sqrt(x^3)) + 40x - 3x^4 = 0 |
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Heian-794 Red Super Koopa Level: 44 Posts: 321/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| An obvious solution is zero. Another is 2.65746. These are the only two real solutions, as far as I can tell. |
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JJ64 Boo Level: 45 Posts: 823/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Heian-794 gets the point. Scores 1st. Grey-19 points 2nd. Heian-794-16 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 62 (1 point)- Solve for a and x: 4a^3+43x-445=0 7a^3=9x |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 252/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Oh, so you DON'T have to show your work..... Alright, then, I probably should have tried harder on that one. X = 7/9A^3. 4A^3 + 33.44444444A^3 = 445. 445/37.44444444 = 11.884273. The cubed root of this is 2.282, which is A. 7 x 11.884273 = 9X = 83.1899, X equals 9.24. |
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JJ64 Boo Level: 45 Posts: 825/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Another point for Grey... Scores 1st. Grey-20 points 2nd. Heian-794-16 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 63 (1 point)- Solve the system of equations: 4532x=455445y+423423z x+y+z=45453 4x+6435345y+45235z=5634562346 |
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Heian-794 Red Super Koopa Level: 44 Posts: 323/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| I had to ignore the actual numbers and call them A, B, C, D... for sanity, but it looks like it works out to: x = 45037.414 y = 878.793 z = -463.206 |
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neotransotaku Baby Mario 戻れたら、 誰も気が付く Level: 87 Posts: 1079/4016 EXP: 6220548 For next: 172226 Since: 03-15-04 From: Outside of Time/Space Since last post: 11 hours Last activity: 1 hour |
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My algebra is messed up  (X = Y + Z) != (X + Y + Z = 0) with this correction, I get Heian's answers (edited by neotransotaku on 07-25-04 06:39 AM) |
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NSNick Laidback Admin Level: 85 Posts: 739/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| And I got: x = 45039.785433118175359018032034649 y = 910.49141309377102518774278271933 z = -497.2768462119463842057748173686 |
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Heian-794 Red Super Koopa Level: 44 Posts: 325/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| We'll just have to see which answers are the right ones. I got the impression that JJ hit a bunch of random keys when choosing the coefficients. I ended up calling 455445 "A", 45453 "B", 5634562346 "C", 6435345 "D", etc., and then resolving some big complicated fractions involving those, inserting the real values. JJ, why were there no 0s, 1s, 2s, 7s, 8s, or 9s in this problem? |
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NSNick Laidback Admin Level: 85 Posts: 743/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| I solved it by using the first two equations to solve x and y in terms of z, then using the final equation to solve for z. And I used Calculator on Windows, copying the figures to keep as many decimal places as I could. | |||
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Heian-794 Red Super Koopa Level: 44 Posts: 326/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| NSNick, do you have a scientific calculator that accepts algebraic logic? It's really handy to be able to, say, actually type in (45453x455445)/(455445-423423) and have the calculator evaluate it without you having to simplify the inner stuff first. I have no idea how the calculator does this, but it's ingenious! | |||
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54  Posts: 421/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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I think calculator.com a scientific calculator, but its not that good. Its better to own one thats physically existent.  However the good ones can get pretty expensive. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 263/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Fortunately (or unfortunately) for me, my classes all required me to have a graphing calculator. Those things are neat little devices, much smarter than I'll ever be, and totally obedient! It's like a dog that does your math homework. | |||
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Heian-794 Red Super Koopa Level: 44 Posts: 327/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Mine doesn't graph, but it has an upper line where you can see what operations you're putting in. A Casio FX 350TL. Cheap at about $16. | |||
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NSNick Laidback Admin Level: 85 Posts: 745/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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Yeah, I do have a graphing calculator, but I've been too lazy to unpack it.  |
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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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