>>8047076
sage
Take your pedophile cartoons back to >>>/a/.
That's not too difficult
Haven't taken math since high school, so I hope I didn't fuck anything up
Anyway
When we consider opposing tetragons, we see that they consist of two triangles. A right angled triangle that's the same for each segment, and two traingles with base b and height h1 and h2.
The surface area of a triangle is equal to 1/2 base*height. Their combined surface is as follows:
A = 1/2 b * h1 + 1/2 b * h2
A = 1/2 b (h1 + h2)
h1 + h2 is constant, so no matter where we move the centre point, the combined surface area of the triangles remains the same. The combined area of opposing tetragons is therefor also constant.
Opposing tetragons have a surface area of 16 + 32 = 48 cm2 , so A = 48 - 20
A = 28 cm2
Did I do a good job? I used to love geometry
>>8047095
lel I made that image a few years back
>>8047122
prove it
>>8047102
Anime is the foundation of 4chan. 4chan has always been about anime if you don't like it don't come here.
The way I see it:
20+32+16+A=X
(B) (C) (D)
Split the difference of C and D and multiply that by 4. Then, subtract the summation of the parts and from the result.
4(D+(C-D))=Y
Y-(B+C+D)=A
A=24 cm^2
>>8047122
Isn't that assuming the overall shape a square and not a rectangle? I see hashmarks that seem to indicate variable length, but I could be wrong
The square comment was meant for >>8047095
>>8047276
Hello summerfriend
At least lurk for a few fucking months before you start shitting up the place
>>8047107
yup
>>8047280
I'm sorry, are you trying to learn me something? Because I couldn't see pass the asshat. Try again?
>>8047076
25cm^2
>>8047122
What is your major / minor?
This
>>8047702
van der waals
>>8047707
thats not a number :^)
>>8047702
This is clearly 0.
>>8047722
no
and not even close in any way.
>>8047712
>not getting my joke
>>8047737
What do you think the :^) was for?
>>8047702
[math]\det(\mathbf{A})=(-1)^n n[/math]
I got it by trying to construct A from the identity using elementary matrices and finding the determinant of them (which is just the product of the diagonal terms). This works because
[math]\det(\mathbf{EF})=\det(\mathbf{E})\det(\mathbf{F})[/math]
And only elementary matrices with a non-one value on the diagonal will have any contribution to the overall determinant and each time you increase n, there will be an additional elementary matrix with determinant [math]\frac{-n}{n-1}[/math]
>>8047990
Sorry, messed up the signs
[math]\det(\mathbf{A})=(-1)^{n+1} n[/math]
>>8047076
>it's another faggot math problems thread to show off our epenis
>inb4 no one even tries this
>>8047744
>not getting that getting the joke requires silence
Guys, I need enlightment on this, I need to study
[eqn] \lim_{n \to +\_infty} \sum_{k=1}^n (\frac{k}{n})^n[\eqn]
>>8047095
the angles in the original don't appear to be symmetrical, I don't think it's this simple
>>8047702
is it n! ?
>>8049270
it doesn't matter what they appear to be, the sketch tells you they're equal
>>8049584
The angles aren't marked as right angles in either pic. Neither is it stated. I've literally spent the day trying to avoid saying this, dammit.
>>8049608
what angles are you talking about? if the original box's sides are y, then the second box's sides are y/sqrt2.
>>8049788
The corners of the box in OP's image aren't right angles
However, this is an autistic interpretation
>>8049873
you mean the curved parts? yeah, you're right, the presentation is a bit retarded. the solution still holds if we assume the outer lines are perpendicular
This
>>8047076
32-16 = 16
32-20 =12
12+16 = 28 cm^2
>>8050441
Use the GNS representation of the albegra and use locality to force the Stone integral representations of the translations to have support on the forward light cone.
>>8047702
subtract row 2 from row 1
subtract row 3 from row 2
subtract row 4 from row 3...
Get a lower triangle matrix with -1 all along the diagonal.
det = (-1)^n
>>8051402
not quite.
You dont subtract anything from the bottom rightmost diagonal element.
>>8047702
[eqn](-1)^{n+1}n[/eqn]
>>8049210
Finding a clever way to solve a problem is fun, writing a proof isn't. Especially when it's your homework.
>>8051782
>a well known fact stated in multiple books is homework
Nice projection idiot lmao
>>8051791
Loads of well known theorems are given as homework problems.
https://desustorage.org/a/thread/139628749
(The fan in blue) = X
(The fan in yellow) = A
(The triangle in red) = B
[eqn]S = 8X = 8(A - B)[/eqn]
[eqn]A = \frac{1}{2} r^2 \theta = \frac{1}{2} r^2 \frac{\pi}{12} = \frac{1}{24} \pi r^2[/eqn] because [math]\theta = \frac{\pi}{12}[/math]
[eqn]B = \frac{1}{2} (\frac{\sqrt{3}}{2} r - \frac{1}{2} r) \frac{1}{2} r = \frac{\sqrt{3}-1}{8} r^2[/eqn]
Therefore, [eqn]S = 8(\frac{1}{24} \pi r^2 - \frac{\sqrt{3}-1}{8} r^2) = (\frac{\pi}{3} - \sqrt{3} + 1) r^2[/eqn]
Especially, [eqn]r=10[/eqn]
[eqn]S = 100(\frac{\pi}{3} - \sqrt{3} + 1) [{cm}^2][/eqn]
>>8050610
But... there's nothing to solve.
>>8047702
[math]|A| = -n^2 / 144[/math] for [math]n \to \infty[/math]
>>8053243
nice meme
>>8052513
They really aren't. Any respectable text will not give you problems that you can just copy the answer straight from the texts
>>8047076
Mayuri best girl, why did she have to die 30 times ?
