Interesting Math Problems

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necronomous
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Re: Interesting Math Problems

#26

Post by necronomous »

Flumper wrote: Fri Oct 16, 2020 2:28 pm
necronomous wrote: Fri Oct 16, 2020 2:20 pm
Flumper wrote: Fri Oct 16, 2020 2:14 pm That is exactly what I got.

32.84.

4pi * [sqrt ( 4 + 2 * sqrt(2) ) ] = 32.84.

Actually, my answer was 32.8375089, I just didn't post all of the digits.
I think you answered him before his next reply. He was asking for the equation in that last response, and you gave it to him but he didn't respond to that yet so you may have gotten what he was looking for. Because I believe you first just posted the answer of 32.84, but I think he was looking for the equation. That's why he said you got the 32.8 right.
I'm thinking, but I could be wrong
Well, I don't have a way to post pictures and making mathematical signs and symbols and equations is impossible with just a keyboard.

and, I took him at his original post where he said
Just the answer is good enough, you don't necessarily need to show your work.
I saw he said in calculable form so I took that as the equation, but yeah looks like he just asked for the answer. Maybe he mistook your rounding and wanted the full answer.
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Re: Interesting Math Problems

#27

Post by pork »

so being an uneducated banker. where and why would you have the need for this type of math?
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Re: Interesting Math Problems

#28

Post by Animal »

porky wrote: Fri Oct 16, 2020 3:49 pm so being an uneducated banker. where and why would you have the need for this type of math?
i run into it all of the time (civil engineer). The best and most recent example I can give you is a channel we were bidding on. It was to be a concrete lined channel about a half mile long. It was flat bottom (4 ft) and it had sloping sides (2:1). The channel sloped at 2% in the direction the water flowed and was cut out of a level area of land. The first thing to consider was the volume of dirt to remove.

At first look you might think you could calculate the area at one end and the area at the other and take the average. multiply times the length and get the volume, but that would be wrong. Without calculus, you can't calculate the amount of dirt other than breaking it up into smaller and smaller volumes and calculating each one individually and adding them up (which in theory is calculus.
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Re: Interesting Math Problems

#29

Post by pork »

Flumper wrote: Fri Oct 16, 2020 4:09 pm
porky wrote: Fri Oct 16, 2020 3:49 pm so being an uneducated banker. where and why would you have the need for this type of math?
i run into it all of the time (civil engineer). The best and most recent example I can give you is a channel we were bidding on. It was to be a concrete lined channel about a half mile long. It was flat bottom (4 ft) and it had sloping sides (2:1). The channel sloped at 2% in the direction the water flowed and was cut out of a level area of land. The first thing to consider was the volume of dirt to remove.

At first look you might think you could calculate the area at one end and the area at the other and take the average. multiply times the length and get the volume, but that would be wrong. Without calculus, you can't calculate the amount of dirt other than breaking it up into smaller and smaller volumes and calculating each one individually and adding them up (which in theory is calculus.
all i hear in this is if it doesn't fit force it or if it doesn't work keep digging.
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Re: Interesting Math Problems

#30

Post by Animal »

porky wrote: Fri Oct 16, 2020 4:12 pm
Flumper wrote: Fri Oct 16, 2020 4:09 pm
porky wrote: Fri Oct 16, 2020 3:49 pm so being an uneducated banker. where and why would you have the need for this type of math?
i run into it all of the time (civil engineer). The best and most recent example I can give you is a channel we were bidding on. It was to be a concrete lined channel about a half mile long. It was flat bottom (4 ft) and it had sloping sides (2:1). The channel sloped at 2% in the direction the water flowed and was cut out of a level area of land. The first thing to consider was the volume of dirt to remove.

At first look you might think you could calculate the area at one end and the area at the other and take the average. multiply times the length and get the volume, but that would be wrong. Without calculus, you can't calculate the amount of dirt other than breaking it up into smaller and smaller volumes and calculating each one individually and adding them up (which in theory is calculus.
all i hear in this is if it doesn't fit force it or if it doesn't work keep digging.
Yeah, well, when you are bidding on a job you don't get to move the trackhoes in until you get the job. and you don't get the job unless you know how to figure the price.
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Re: Interesting Math Problems

#31

Post by pork »

i don't really know what you do but i am guessing you have a construction company of sorts.
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Re: Interesting Math Problems

#32

Post by Animal »

porky wrote: Fri Oct 16, 2020 4:37 pm i don't really know what you do but i am guessing you have a construction company of sorts.
yes. mostly road construction.
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Re: Interesting Math Problems

#33

Post by pork »

i have a friend out here in ca that owns a similar company. I know he does most of the roads and highways. he gets these 50 million dollar contracts all the time. the guys father started the company and the son has done great things with it. he is a war wounded vet so they get first crack at a lot of the bids.
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Re: Interesting Math Problems

#34

Post by Animal »

porky wrote: Fri Oct 16, 2020 4:56 pm i have a friend out here in ca that owns a similar company. I know he does most of the roads and highways. he gets these 50 million dollar contracts all the time. the guys father started the company and the son has done great things with it. he is a war wounded vet so they get first crack at a lot of the bids.
DART (Dallas area rapid transit) is an organization in Dallas that has quite a lot of public work projects. And they have a SUPER high minority and disadvantaged threshold for participation in ALL of their contracts. Last one I bid, you had to subcontract at least 35% of the job to a minority contractor. Which is practically impossible to find without doing some really creative accounting work.

Anyway, I was at a pre-bid meeting on a job coming up that was really specialized and subcontracting to 35% minority was going to be impossible (long story). The contractors were trying to point out the impossibilities of meeting that level of minority participation. And, of course, most of the board members are black and one of them says, "We have found that over 50% of all of the tokens purchased for riding DART transportation in the last fiscal year were purchased by minority citizens. Since they are paying for the service, it is only fair that they get at least 35% of the work to build it".

And I remember thinking to myself, "does this stupid mother fucker think that bus tokens are what pay for DART?" Those minority business committees are a special kind of stupid.
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Re: Interesting Math Problems

#35

Post by Animal »

Flumper wrote: Fri Oct 16, 2020 2:14 pm That is exactly what I got.

32.8375088952650000000000000


4pi * [sqrt ( 4 + 2 * sqrt(2) ) ] = 32.84.

Actually, my answer was 32.8375089, I just didn't post all of the digits.
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Re: Interesting Math Problems

#36

Post by pork »

Flumper wrote: Fri Oct 16, 2020 7:43 pm
Flumper wrote: Fri Oct 16, 2020 2:14 pm That is exactly what I got.

32.8375088952650000000000000


4pi * [sqrt ( 4 + 2 * sqrt(2) ) ] = 32.84.

Actually, my answer was 32.8375089, I just didn't post all of the digits.
that odd because i came up with potato
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Re: Interesting Math Problems

#37

Post by QillerDaemon »

porky wrote: Fri Oct 16, 2020 3:49 pm so being an uneducated banker. where and why would you have the need for this type of math?
These are important problems for young engineers and scientists in training need to learn how to solve. These types of problems teach a person how to think through the problem. They are idealized, as real-life problems are much more complicated, detailed, and convoluted. You as a banker need to add, subtract, and make sure all the columns even out. Maybe some multiplication. The nuances of the math behind engineering and its backing science go way deeper, way into the very guts of match.

Basically, problems like these are exercises. If you can't solve these, you probably won't make it as a real engineer.
If you can't be a good example, you can still serve as a horrible warning.
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Re: Interesting Math Problems

#38

Post by pork »

QillerDaemon wrote: Fri Oct 16, 2020 8:35 pm
porky wrote: Fri Oct 16, 2020 3:49 pm so being an uneducated banker. where and why would you have the need for this type of math?
These are important problems for young engineers and scientists in training need to learn how to solve. These types of problems teach a person how to think through the problem. They are idealized, as real-life problems are much more complicated, detailed, and convoluted. You as a banker need to add, subtract, and make sure all the columns even out. Maybe some multiplication. The nuances of the math behind engineering and its backing science go way deeper, way into the very guts of match.

Basically, problems like these are exercises. If you can't solve these, you probably won't make it as a real engineer.
i should probably work in a gas station
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Re: Interesting Math Problems

#39

Post by QillerDaemon »

Another interesting math problem:

Two vertical columns, one tall and one short, sit six yards (or meters in commie units) in front of a tall wall. The sun is shining over the columns so they cast shadows on the ground and wall. The short column is two yards high and casts a three yard shadow directly behind it. The large column casts a shadow along the ground and up onto the high wall, so that the top of shadow on the wall is four feet* yards high. How high is the tall column?

*well fuck me, I screwed up the wording, all the units should have been in yards, none in feet. So either Antknot or Flumper is probably right as the question was originally worded. The top of the shadow on the wall is four yards. The correct answer is 8 yards, figured by similar triangles. Remove the wall and extend the shadow out, and it is a 12 yard shadow, so by triangle symmetry that takes a column of 8 yards to make that long of a shadow.
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Re: Interesting Math Problems

#40

Post by Antknot »

QillerDaemon wrote: Sun Nov 29, 2020 12:28 am Another interesting math problem:

Two vertical columns, one tall and one short, sit six yards (or meters in commie units) in front of a tall wall. The sun is shining over the columns so they cast shadows on the ground and wall. The short column is two yards high and casts a three yard shadow directly behind it. The large column casts a shadow along the ground and up onto the high wall, so that the top of shadow on the wall is four feet high. How high is the tall column?
10 feet.
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Re: Interesting Math Problems

#41

Post by Animal »

5-1/3 yards tall. also known as 16 feet tall.
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Re: Interesting Math Problems

#42

Post by Antknot »

"There are three hats, each with an accompanying statement.

Hat One: The cat is in this hat.

Hat Two: The cat is not in this hat.

Hat Three: The cat is not in Hat One.

Exactly one of the statements is true. Exactly one hat contains a cat. Which hat contains the cat?"

The answer options are: 1) Hat One; 2) Hat Two; 3) Hat Three; 4) None of the hats; or 5) Not enough information.



Answer Here: https://www.popularmechanics.com/scienc ... le-answer/
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Re: Interesting Math Problems

#43

Post by Animal »

The cat is in Hat 2. Answer is #2
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Re: Interesting Math Problems

#44

Post by Stapes »

I've saw that cat problem before and how they come to the answer.......it's really stretching
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Re: Interesting Math Problems

#45

Post by megman »

Iraan

And if you teach math you have problems.....
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Re: Interesting Math Problems

#46

Post by Animal »

Animal wrote: Sun Nov 29, 2020 3:57 am The cat is in Hat 2. Answer is #2
re-thinking this and my answer can't be right. If it was in hat #2 then what is written on hat 2 and 3 would both be true.

If it was in Hat 1, then what is written in hat 1 and 2 would be true.

If it was in Hat 3, then what is written on hat 1 is false. what is on hat 2 is false. and what is on hat 3 is true.

so Hat 3 works. The cat is in Hat 3.
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Re: Interesting Math Problems

#47

Post by Stapes »

I blame Biker.
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Re: Interesting Math Problems

#48

Post by Whackov »

I stopped after reading “Interesting Math Problem.”
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Re: Interesting Math Problems

#49

Post by Charliesheen »

Animal wrote: Fri Oct 16, 2020 5:15 pm
porky wrote: Fri Oct 16, 2020 4:56 pm i have a friend out here in ca that owns a similar company. I know he does most of the roads and highways. he gets these 50 million dollar contracts all the time. the guys father started the company and the son has done great things with it. he is a war wounded vet so they get first crack at a lot of the bids.
DART (Dallas area rapid transit) is an organization in Dallas that has quite a lot of public work projects. And they have a SUPER high minority and disadvantaged threshold for participation in ALL of their contracts. Last one I bid, you had to subcontract at least 35% of the job to a minority contractor. Which is practically impossible to find without doing some really creative accounting work.

Anyway, I was at a pre-bid meeting on a job coming up that was really specialized and subcontracting to 35% minority was going to be impossible (long story). The contractors were trying to point out the impossibilities of meeting that level of minority participation. And, of course, most of the board members are black and one of them says, "We have found that over 50% of all of the tokens purchased for riding DART transportation in the last fiscal year were purchased by minority citizens. Since they are paying for the service, it is only fair that they get at least 35% of the work to build it".

And I remember thinking to myself, "does this stupid mother fucker think that bus tokens are what pay for DART?" Those minority business committees are a special kind of stupid.
I’ve ridden DART hundreds of times. The brothers rarely bother with paying for their rides. Because it’s an honor system.
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Re: Interesting Math Problems

#50

Post by QillerDaemon »

New problem:

A square is cut up into five rectangles of equal area. The rectangles will not necessarily have the same dimensions. The side length of one rectangle is four units. How many units is the original square? The answer is a number, not a formula.
If you can't be a good example, you can still serve as a horrible warning.
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