Wait... if the water fills correctly , that means volume is equal not the area.. doesn't that mean it proves aÂ³+bÂ³=cÂ³ ,not Pythagoras theorem?
im not a clever man
The thicknesses of the containers are equal, therefore
aÂ²t+bÂ²t=cÂ²t, where t is the thickness of the container
Therefore
t(aÂ²+bÂ²)=cÂ²t
Divide by t
aÂ²+bÂ²=cÂ²
It cancels out; the thickness does not matter as long as it is constant.
but, how do you know they have the same depth, this could be incorrect and she is just ************ us, she could just have extra depth behind the cubes
yeah because learning how this works in highschool was way more helpfule than learning how to write a check or get a loan or oh, idk, ANYTHING ACTUALLY ******* IMPORTANT
ok, scratch my previous statement. *ahem* ...anything actually ******* important... to the average joe? yeah, i think that works now. works for ME any ways. does it work for you?
i love how all of you cock shining neanderthals assume that i am both 14 and a high school dropout AND stupid. well here is the lowdown: my iq was 160 in 2nd grade (yes i was tested) and i passed the ****** sat's in 4th grade. idgaf if you believe me or not. i made ONE ******* comment and you guys had a *********** storm over it, so HAVE FUN WITH THIS ONE FAGGOTS!!
God, there is no way you are lying over the internet. I'm the ghost of Neil Armstrong. I walked on the moon and it in fact was made of cheese.
BTW if your IQ was really 160 or above you would know the importance of math in today's world. Also there is no "passing" the SAT. No on fails. It is based on a bell curve where 1000 is average, 1600 is highest and 400 is lowest not including the writing section.
God you are pathetic. You must be 14 and stupid. Pay attention and class and learn the Pythagorean formula. It will come in handy if you ever pass high school.
you clearly can't read. IDGAF WHAT YOU THINK. and for starters, 14 year olds are not in high school. second, i'm 21 and i have graduated already. so with that, i bid you, a go **** yourself.
14 years old are high school freshman dumb ass. I was 17 when I graduated High School. I was 14 when I entered. My birthday is right before school starts, Lets see if you can figure that one out. BTW how's being a supposedly 160 IQ Walmart greeter.
so now i work at wally world? cool. i have a job then. thanks for that! and idk where the **** you come from kid, but 14 years olds are in 8th grade, not 9th. i was 19 when i graduated. my scholastic career has alot of messy details to it, and i highly doubt you care to hear them all. so with that, again, **** off.
So you got held back. My youngest sister is a Freshman in high school and she turned 14 in September 2 weeks after school started. So she was even a 13 years in high school. Like I said before, "we get it, you are stupid."
yeah i was held back, and no, it wasn't cuz i was stupid. alot of smart kids get held back. and imma call ******** on your sister. i have NEVER met a 13 or 14 year old freshman, so based on my experience your story is ******** . btw, you just love commenting don't you?
yes they do if they school system they are in hires inept teachers that can't handle a child smarter than they are. my being held back was quite genuinely ******** . but like i said, i doubt you want the gory details.
I hope you realize that you cannot be held back unless your parents agree, OR you failed a mandatory class. A teacher cannot fail you in High School unless there is proof you did poorly on the tests or final. They did not choose to fail you, for if they did, you could have reported it to the principal and the teacher would have been fired. From what I am guessing, you didn't try as assumed that since you were smarter you did not have to try. You legitimately failed and that is not the teachers fault.
i bet you are one of those "just try harder" types. some teacher make it impossible for you to get along with them. not getting along with a teacher makes a HUGE difference in a class, especially middle school where all of my **** happened. being smart and having good grades are 2 completely different things. you can't make someone care about things that they just don't give a **** about. on that note, yes, they CAN hold you back without failing. it happened to me twice. and due to them ******* me over as they did, they had to place me in 8th grade rather than me actually passing (which i would have any way) they wanted to hold me back a 3rd time. y? i have no idea. probably because my principal ******* hated me. if u wanna know what all happened, stop trying to be so slick about it and just ******* ask.
Actually believe it or not, I was not a try hard in High School. It was unbelievably easy, even all the AP classes I took. I didn't do math homework for the last 3 years of high school. I guess the difference for me is I got along really well with my teachers, constantly joking around with them, even to the point one didn't care if me and my friend cheated on tests. Now I am in one of the top colleges in the US, and I do have to try hard to get good grades sadly. Its a lot harder when everyone around you is just as smart.
I would like to know what happened because I was under the impression your parents had to approve of you getting held back if you passed all of your classes.
highschool WAS a breeze, i'll give ya that, especially since i went to a trade school.
*ahem*
well, in second grade, the principal middleschool i was headed to (it WAS 3rd to 8th) got wind of a rubik's cube solving 2nd grader that couldn't be occupied (kept busy) i was flying though everything they were giving me, and it was pissing them off to no end. any way, they thought everything was a fluke apparently and they held me back on the grounds of "not being able to pay attention properly in class" ******** . any way, my psycho principal moved 3rd grade to the elementary building (yes, she could do that back then, she had that kind of power) any way, 3rd grade, my teacher quit because of me. 43 years of teaching 3rd grade, and he has me for 2 weeks. boom. done. any way, we get a new teacher,fresh out of college "i want to help the children! well, except that one" when a 2nd grader mocks your reading ability because he is reading a book with ease that you struggled with in your literary class or what ever she took, it kind of pissed her off. any way, my reading teacher was no treat either. ALL we EVER did was book reports, and i wasn't allowed to do them on my books (some highschool and college stuff) because i "didn't actually understand it" i passed with a d-. but **** , that was passing. i knew i was smarter than her so **** her. any way, back to the new teacher, mrs. cline. she would come up with all kind of weird schemes to keep me busy. she put a taped off square around my desk. anything i could do in the square was a-ok. "and you are sure of this?" she agreed, and so i used my shoes and shoe strings to get more tape. y? annexation. THAT one pissed her off big time, and so she pushed for my expultion, but instead i got "retained" want part 2? yeah, there is more, and **** is gonna get good.
Wow **** sounds intense. Exactly where are you from? They have special schools for true child genius's you know. I'm starting to believe you but I am still skeptical.
i am from marietta ohio, but all of this **** happened in blepre. i REFUSE to even live in that town cuz of the **** they cost me. if they wouldn't have ****** me over, i WOULD have graduated a freshman. (yes you can do that) oh but wait! there is more! that was all 2nd grade. we still have 5 grade and the ******** years that follow that to go through. we aren't even to the "medication saga" yet.
I don't use checks because I have a debit card, but I can fill them out. I will teach you:
1. Fill out all the empty spaces
2. Give it to the receiving pary
I know what you mean. Empirical evidence is what you're referring But when it comes to applicable mathematics the proofs themselves are always please correct me if I'm wrong correct. I don't know an instance when they've been separable. Provided we know all the variables.
Inb4 neutrinos
It *IS* ******** . If you do spherical geometry, as in, if you have two distances between a right triangle made up of three docks, and you want to find the third, you'll be blatantly wrong if you use a^2+b^2=c^2.
And, likewise, you'll be wrong if you measure distances around black holes, because space is curved, so that the pythagorean theorem doesn't hold in reality, either.
Also, the mathematicians who were like, "Yeah, we need a proof!", from studying the problem in-depth, were the ones to realize that, "wait a second, this doesn't hold, and we need a whole other set of laws", which developed into modern geometries and a whole bunch of stuff which would take ages to explain. See: Einstein, Euclid's parallel line postulate, and projective/spherical/hyperbolic/euclidean geometry.
I think what he's really trying to say is you can't prove a mathematical formula with a physical phenomenon. It makes a cool demonstration, but it really doesn't prove anything.
Okay, so, i know the theory. But, here's what i'm having difficulty seeing in this picture. Each tube filled with liquid, doesn't reach the edge of the circle. The largest one does, the second largest one barely does. The smallest does not even get close. Wouldn't they all have to read the edge if one is going to be on the edge shouldn't the other? And if you measure the length of each side, i'm it is more than the bottom. But just because the bottom half is larger, than it is able to fill more? If they put everything to the edge of the circle it would over flow. I'm not saying its wrong, but i'm thinking somethings not right too. i'm gonna research it and get back to myself later.
They don't have to reach the edge of the circle. The formula is the sides squared, so they only have to be squares, not reach to the edge of the circle. The circle is there only to make it easier to turn.
I totally agree with you, we could just extend the quadrilaterals until they can contain the exact amount of water required, unless there is something I'm missing, additionally the smallest quadrilateral seems to be a rectangle (not a square)
I always question math...If someone just decides to make something up and then share it with someone in their viewpoint and everyone is like "oh yeah i totally get that"...and the guy is like cool i'm smart for this now. Then later on someone "smarter" comes along and says no this is wrong its this way now...It's like...what the fudge. We either have 50 different ways to do one thing. Or as long as you get the "right" answer it doesn't matter how you got there. Which is what I was told in math class numerous times. Math is getting too complex and they aren't teaching it fast enough in school. We're becoming stupid. Then something changes and we have to relearn it. That goes for anything in the science field. Poor pluto right? We accept anything that someone else comes up with too easily.
You're assuming that all squares are equidistant from the center of the circle, which they probably aren't. The circle is just there to rotate the whole thing, not to measure.
Here's a better explanation. a^2 + b^2 = c^2. That's the Pythagorean Theorem, each cube represents the corresponding lengths of the sides of the triangle squared.
For a Right Triangle, not really, doing anything else would doing pointless extra work. Now if this were not a right triangle, you could use the law of Sines, but that's getting into Trigonometry.
Yeah, but that requires knowing some of the angles and sides, either two sides and an angle opposite one f the known sides, or two angles and any side. That allows you to solve for the whole triangle.
I drew, and cloned all the lines. The problem is, You can take any amount on each of the top two sides, and create just enough for the bottom to fill up. I still think its flawed. And i want to know in the real world how this is used for lets say building something? If you measure the sides isn't that more correct than using a formula? If i take a ruler and measure each side, that seems more accurate right?
None of them has to touch the edge of the circle. Or they all could. The size of the circle doesn't matter because the circle has nothing to do with the proof or the theorem.
The one ******* GIF I'd actually LOVE to thumb up and the bitch WILL NOT loop through... **** you admin it's all your fault, idk how or why but it is. Asshole.