I'm sure, then, that I've misunderstood the question.
MATH questions
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steve_bute wrote:
Unless the answer is 220 because he is holding his ladder fully against the side of his house, the box being a decoy.
Perhaps the box itself is the house and the answer is 60.
Enough of us have landed on the same answer, and I'm confident in my calculations. I'm very curious to see why it's incorrect.
TheGrobe wrote:
Enough of us have landed on the same answer, and I'm confident in my calculations. I'm very curious to see why it's incorrect.
Yeah, the diagram seems to have little room for tricks.
Well, I did ask for a correct answer, and that is that this height H is an irrational number.
In the decimal system you cannot express this height in a figure, it is always between two stripes on a measuring tape.
So somebody who says H is between 202 and 203 is right, as is someone who gives 202,8303 and 202,8304, but mentioning only one figure ( e.g. 202,83036 ) is not a correct answer, because H will not be on the stripe 83036 but near to it.
Even with a lot more figures behind the comma, the answer is always "between this and that figure"
Mind that I did not ask for a number of figures behind the comma..., I only wanted to hear "irrational"and "between" . I hope you liked it !
About 17 : a public notary had to divide among three sons a legacy of 17 camels.
The will says son A gets half, son B one third and son C one ninth.
The notary did it by lending them his own camel and gave son A half, nine camels, son B one third, six camels and son C one ninth, two camels ; he went home with the last one, his own camel...
Boo.
I double that boo. I may even square it. Remellion's answer appears to be exactly correct. This is the longest thread I have seen not to dissolve into insults. Mathematicians must be polite people.
Feb 12, 2014
0
#189
RomyGer wrote:
This question was asked by me in various chess club magazines before, so I know the kind of calculations and answers.
It is too early for me to give more info, but up to and including post 170, nobody gave the correct answer so far. Sorry, Nobody, But that makes it worthwile to try to find it -- I hope more posts will follow !
For the Dutch readers : this made me in 2008 "de Bolleboos van de Maand" in the Dutch site of Neurocampus ( and I am NO high-flyer in maths...)
I am looking forward to seeing what it will get you in 2014 at chess.com!
How about this simple optimization problem:
Find the maximum volume of a rectangular prism with a base on the xy-plane and one vertex at the origin, whose opposite vertex is on the plane 2x+3y+4z = 24.
My calculus and linear algebra are far too rusty for this one.
Thanks, Grobe and Blitzjoker, you both disagree, that's okay, but my texts are correct, be it that English is not my mother language ( I translated what I once got from a real mathematician ! )
I told you I am not a mathematician myself and I am glad to know what irrational figures are, like Pi, 3,14159...
And for Blitzjoker : Remellion did not give any figure, so... forget it !
RomyGer wrote:
Well, I did ask for a correct answer, and that is that this height H is an irrational number.
Are there a lot of homicides when Dutch engineers and Dutch mathematicans find themselves in the same room? :)
shepi13 wrote:
How about this simple optimization problem:
Find the maximum volume of a rectangular prism with a base on the xy-plane and one vertex at the origin, whose opposite vertex is on the plane 2x+3y+4z = 24.
The volume is unbounded ... is there another constraint? Perhaps x,y,z all non-negative?
No, Steve, I am glad : no !
By the way : I read posts in forums in a foreign language, and ( try to ) use English in my posts. I do have some nice dictionaries and thanks to my previous jobs in Europe, I can understand and expresss myself pretty good. Nevertheless I often miss the sense or feeling of words, especially in jokes or double meanings... Regards, Ger.
On that note, I think the "trick" to your problem might have been better posed as a request for the "exact" as opposed to "correct" height.
steve_bute wrote:
shepi13 wrote:
How about this simple optimization problem:
Find the maximum volume of a rectangular prism with a base on the xy-plane and one vertex at the origin, whose opposite vertex is on the plane 2x+3y+4z = 24.
The volume is unbounded ... is there another constraint? Perhaps x,y,z all non-negative?
I don't think there is a restraint like this. I know that it should work if you just try to maximize using V = xyz, but this would of course imply that V is always positive (as it's maximized, not minimized).
Feb 12, 2014
0
#198
RomyGer wrote:
Now one for math-amateurs : I wonder who gives me the correct answer on the Height H of my ladder against my house...
This question might be very old, namely before the day of quantum physica, because since that time is it known that any length has an exact number as it can only have certain quantified units.
Therefor is there not one ladder in the universe that has an irrational length.
If you would have asked about the length of the side of the triangle, then would your question be correct. Now is it in my opinion flawed - yet still better than my answer.
shepi13 wrote:
steve_bute wrote:
shepi13 wrote:
How about this simple optimization problem:
Find the maximum volume of a rectangular prism with a base on the xy-plane and one vertex at the origin, whose opposite vertex is on the plane 2x+3y+4z = 24.
The volume is unbounded ... is there another constraint? Perhaps x,y,z all non-negative?
I don't think there is a restraint like this. I know that it should work if you just try to maximize using V = xyz, but this would of course imply that V is always positive (as it's maximized, not minimized).
Just assume for now that x, y, and z are greater than 0 though, as I am not yet certain if this restriction is necessary (and in the answer x, y, and z are greater than 0).
Steve, post nr 184, h=202,8 is not the correct answer, believe me ! And you did not misunderstand the question.
The Grobe : idem dito, 202,83036 is a not correct answer...
Remellion, please answer the question ! H = ....
It is dinner time now, 18.00 o clock in Holland, so I will be back tonight, and answer the 17 question also !!!!! Bye, Ger.