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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86  Posts: 1251/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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| x=19.27~ y=5.18~ |
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JJ64 Boo Level: 45 Posts: 629/919 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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| Yes, Kirby ATW gets the point. Scores 1st. Grey-11 points 2nd. Kirby all the way-7 points 3rd. NSNick-5 points 30rd. wolfman2000-5 points 5th. Heian-794-4 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 37 (1 point)- What is 9 times the square root of 2 to the 16th power? |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 1252/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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| If you mean 9 x |sqrt 20| ^ 16, then 2304 | |||
Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 82/3770 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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| 9 X (sqrt2)^16 = 2304. (9 X sqrt2)^16 = 4.74 X 10^17. There are two separate answers here, depending on your order of operations. Since it goes PEMDAS (parentheses first), the answer depends on where the parentheses lie. |
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JJ64 Boo Level: 45 Posts: 637/919 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, he had both answers... Scores 1st. Grey-12 points 2nd. Kirby all the way-7 points 3rd. NSNick-5 points 3rd. wolfman2000-5 points 5th. Heian-794-4 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 38 (1 point)- Find the surface area and volume of a sphere with radius 28. |
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Heian-794 Red Super Koopa Level: 44 Posts: 209/896 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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| The volume is 4/3 pi r^3, or (4/3) (pi) (28^3) = 29269 1/3 * pi (in decimals, approx. 91952.32) The surface area is 4 pi r^2, or 3136 pi (in decimals, approx. 9852.03) |
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JJ64 Boo Level: 45 Posts: 640/919 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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| It's getting close again... Scores 1st. Grey-12 points 2nd. Kirby all the way-7 points 3rd. NSNick-5 points 3rd. wolfman2000-5 points 3rd. Heian-794-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 39 (1 point)- Give 5 sets of points on this line: y=7x+7 |
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NSNick Laidback Admin Level: 85  Posts: 580/3875 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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| (-2,-7) (-1,0) (0,7) (1,14) (2,21) |
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JJ64 Boo Level: 45 Posts: 647/919 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 NSNick is now in sole possession of 3rd. Scores 1st. Grey-12 points 2nd. Kirby all the way-7 points 3rd. NSNick-6 points 4th. wolfman2000-5 points 4th. Heian-794-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 40 (1 point)- There are 1300 green footballs, 423472 blue footballs, 5482394652 purple footballs, and 4257834895723 normal footballs. What is the probability of getting a green football (assuming you get one randomly) You know, that's really an overproduction, if you ask me. |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86 Posts: 1267/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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 Theres enough footballs to give each person on the earth over 10....... 4.26 x 10^10 to 13... PLEASE dont ask me to bring it down any farther  |
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Heian-794 Red Super Koopa Level: 44 Posts: 212/896 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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| 1300 / (1300 + 423472 + 5482394652 + 4257834895723) ~= 3.053 x10^-10 or 1 in 3,275,679,661 Assuming, or course, that "normal footballs" are brown and do not include green. I seem to recall a college football team years ago wearing uniforms with footballs on the front to disguise who was carrying the ball. The opposing coach thwarted them by using bright red footballs in the game, insisting that there were no regulations on the color of a normal football! Note that for an approximate answer you can just ignore all but the green and normal footballs, since normal ones are so frequent. This approximation also gives 3.053e-10, but is ever so slightly higher when more decimal places are considered. (edited by Heian-794 on 07-06-04 05:27 AM) (edited by Heian-794 on 07-06-04 05:29 AM) |
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JJ64 Boo Level: 45 Posts: 653/919 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 Heian-794 gets the point, actually. Scores 1st. Grey-12 points 2nd. Kirby all the way-7 points 3rd. NSNick-6 points 3rd. Heian-794-6 points 4th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 7th. Teddylot-0 points Question 41 (1 point)- Solve these right triangles: Triangle 1: Sides: 25, 25 Triangle 2: Side: 10, Angle: 30 Triangle 3: Side: 5, Angle: 36 |
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Heian-794 Red Super Koopa Level: 44 Posts: 214/896 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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| Triangle 1: sides 25, 25, 35 Triangle 2 (putting the 30-degree angle opposide the 10-unit side): sides 10, 10sqrt 3, 20 Triangle 3: (assuming the side 5 is opposite the 36-deg angle again; solved using the sine and tangent of 36) sides 5, 6.88, 8.503 |
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kornfan There's a BARB in my EYE! No reregistering, Mr. Permabanned! Level: 38  Posts: 139/622 EXP: 344540 For next: 25907 Since: 06-27-04 From: the middle of fu**ing nowhere... Since last post: 414 days Last activity: 297 days |
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| Can you draw us some examples for the triangles? | |||
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Heian-794 Red Super Koopa Level: 44 Posts: 228/896 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 don't think I could draw these things in ASCII considering that the angles have to be exact. But the lengths of the three sides unequivocally determine the shapes/sizes/angles of the triangles. | |||
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JJ64 Boo Level: 45 Posts: 665/919 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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| Um... for that to be correct, I need angles also. Solving a right triangle means giving all sides and angles. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 128/3770 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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| Triangle one: 25,25,25, All angles are 60 degrees. Triangle two: 10, 10sqrt3, 20, angles are 30, 60, and 90, respectively (as in opposing the side respective to it). Triangle three: Sides 5, 6.88, 8.503, angles 36, 54, 90, respecitve in the same manner as triangle two. |
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JJ64 Boo Level: 45 Posts: 678/919 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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| Grey, it's solve these Right Triangles. Remember that? Number 3 is right, the other two are wrong. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 156/3770 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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| OK then, Triangle 1 is 25, 25, 35.3553, with angles 45, 45, 90. Triangle 2's got me stumped. Excuse my lack of attention to the question. |
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Heian-794 Red Super Koopa Level: 44 Posts: 250/896 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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| For Triangle 1, I rounded to the nearest integer when I said Triangle 1: sides 25, 25, 35; strictly speaking, it's 25, 25, 35.355, and with two sides equal, of course it's a 45-90-45 right triangle. Grey's answer (and mine) seem fine for Triangle 2; it's your basic 30-60-90 triangle, in which sides will necessarily be N, 2N, and Nsqrt3. For triangle 3, the sides are 5, 6.88, 8.503 and the angles are 90, 36, and 54. (edited by Heian-794 on 07-11-04 03:50 PM) |
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