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the numbers are the lenght of the hexagon's sides. Find the radius of the circle
Math Puzzles - Page 9
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lightman
United States731 Posts
the numbers are the lenght of the hexagon's sides. Find the radius of the circle | ||
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Sorrow_eyes
United States1007 Posts
On June 18 2005 21:05 decafchicken wrote: Found these math problems on google: enjoy 1. One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are there? 2. y = log x If y = 10, then what is x? 3. 10*9*8*7*6*5*4*3*2*1 = 10! Can this be true?! Why or why not? 4. If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y, then x = ? 5. What place in this world can have their temperatures Fahrenheit and Celsius equal? 1 is easy let x be men, y be horse number x+y=74 2x+4y=196 solve 2. um... Y=LogX, 10^X=Y, 10^X=10, x is 1. 3. Corse it's true, by definition 10!=10*9*8*...*1 4. Well I see a lot of printhesis, but what is in the final printhesis? the printhesis never closed, it could be .5X+X^100 in the most inner one, need to clearify plz. 5. If im correctly guessing that C=5/9F - 32 and C=F so F=5/9F-32, F=-72 So both F and C are equal temperature at -72o edit, formula wrong... F=9/5C + 32, solution is -40. mybad | ||
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lightman
United States731 Posts
On June 18 2005 21:05 decafchicken wrote: Found these math problems on google: enjoy 1. One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are there? 2. y = log x If y = 10, then what is x? 3. 10*9*8*7*6*5*4*3*2*1 = 10! Can this be true?! Why or why not? 4. If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y, then x = ? 5. What place in this world can have their temperatures Fahrenheit and Celsius equal? 1. 74 heads 196 legs let A = Humans , B = Horses A + B = 74 2A + 4B = 196 2B = 48 -> B = 24 -> A = 50 50 Humans, 24 Horses 2. 1 3. yes 4. I don't understand the problem 5. The poles. -40ºC = -40ºF | ||
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decafchicken
United States20060 Posts
HR = Horse 1) HM + HR = 74 2HM + 4HR = 196 (2HM + 4HR) - (2 HM + 2HR) = 196 - 148 2HR = 48 HR = 24 HM + (24) = 74 HM = 74 - 24 HM = 50 So, the solution is 24 horses and 50 humans. 2) y = log x 10 = log x 10 = 10^x x = 1 3) Yes!!! The expression "x!" means x(x-1)(x-2)(x-3)...1 So 10! means 10(10-1)(10-2)(10-3)(10-4)(10-5)(10-6)(10-7)(10-8)(10-9)= 10*9*8*7*6*5*4*3*2*1=10!, which means it is correct. 4) 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y If x = 1, then the equation likes this: 1/2 +1/2(1/2 + 1/2(1/2 +1/2(1/2 + ... = y 1/2 +1/4 + 1/8 + 1/16 + 1/32 + ... = y y = 1 = x y = x 5) F = 1.8C + 32 x = 1.8x + 32 x - 1.8x = 1.8x + 32 - 1.8x -0.8x = 32 -8x = 320 -x = 40 x = -40 The only place that might be -40 degrees cold must be Anartica. Those are the answers. | ||
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Sorrow_eyes
United States1007 Posts
On June 18 2005 21:24 lightman wrote: Here's another one: the numbers are the lenght of the hexagon's sides. Find the radius of the circle 11, 2, 7, are all chord of a sector. C=chord, R=Radius, A=angle of a sector A=2sin-1(C/2R) plug in A1=2sin-1(11/2R) A2=2sin-1(7/2R) A3=2sin-1(2/2R) 2A1+2A2+2A3=2pie Solve all that junk, R=7 edit: copied the formula wrong. there we go... edit2: here's the picture which I worked on ![[image loading]](http://img101.echo.cx/img101/8030/fdsadsa7qe.jpg) | ||
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decafchicken
United States20060 Posts
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decafchicken
United States20060 Posts
http://www.skytopia.com/project/imath/imath.html#13 | ||
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bangchucaibang
United States202 Posts
On June 18 2005 21:38 Sorrow_eyes wrote: 1 is easy let x be men, y be horse number x+y=74 2x+4y=196 solve 2. um... Y=LogX, 10^X=Y, 10^X=10, x is 1. Maybe you're mistaken or im dumb if y = log x, then x = 10^y, not the other way around, rite? so x = 10^10? | ||
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bangchucaibang
United States202 Posts
If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y => (y - 1/2x) * 2 = 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y again => (y - 1/2x)* 2 = y => y = x | ||
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fearus
China2164 Posts
A= sinx B = n C = 6 Prove: A/B = C For n can be any real or imaginary number... | ||
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Shiv
France447 Posts
On June 18 2005 23:21 bangchucaibang wrote: Maybe you're mistaken or im dumb if y = log x, then x = 10^y, not the other way around, rite? so x = 10^10? Yeah, I don't know what's with the x=1. if x=1, logx=lnx/ln10=ln1/ln10=0 0=/=10 as far as I know... | ||
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Shiv
France447 Posts
if x=0, sinx=0, A/B=0 0=/=6 as far as I know... Where am I wrong? (that is: is there any relation between sinx and n you forgot to mention?) edit: Ok, that was lame... | ||
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Shiv
France447 Posts
In this political party, clubs/groups were formed. -None of them involve the entire party. -If we take randomly two members, there is always one club to which the both of them belong. -A member belongs at most to two clubs. How many clubs is there at most? At least? edit: I think I just solved it, and it's not really interesting in the end. if you haven't got too much time on your hands, don't bother. | ||
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Sorrow_eyes
United States1007 Posts
On June 18 2005 23:21 bangchucaibang wrote: Maybe you're mistaken or im dumb if y = log x, then x = 10^y, not the other way around, rite? so x = 10^10? hehe i was a moron | ||
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LordOfDabu
United States394 Posts
On June 19 2005 05:20 fearus wrote: I dont know if this has been posted but my ex asked me this. A= sinx B = n C = 6 Prove: A/B = C For n can be any real or imaginary number... So long as n is not zero, (s*i*n*x) / n = (s*i*x)*n/ n = six. Cute.  (The trick is that sinx is four variables, not the sine function). | ||
Xeofreestyler
Belgium6772 Posts
34 - ? 24 - 10 16 - 7 8 - 5 4 - ? A hint is that you have to think logical, not mathematical Oh and english is the language you should use for this ... | ||
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BigBalls
United States5354 Posts
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rpf289
United States3524 Posts
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MarKoNiO
Peru888 Posts
Great topic btw | ||
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LordOfDabu
United States394 Posts
Sixteen has 7 letters. Eight has 5 letters. "English is the language you should use for this" gave it away. | ||
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