geometry-and-trigonometry

[tawny pewter]

i found C

idk what to to next

[upper karma]

you need to find all the variables?

[tawny pewter]

a b and c

[upper karma]

yeah those are variables

[tawny pewter]

o

[upper karma]

one sec I'm getting a call

[tawny pewter]

ok

[upper karma]

alright so

we know that

WX=ZV=YZ=XY

[tawny pewter]

ye

[upper karma]

let's name the triangles

top one is tom

right one is bob

bottom one is gale

[tawny pewter]

ok

[upper karma]

so bob and gale are equal

[tawny pewter]

ye

[upper karma]

all their sides are equal thus they are 60 60 60

[tawny pewter]

ye

[upper karma]

so

the right corner of bob is 60, which is 180-a

you see why

[tawny pewter]

180-a?

[upper karma]

yeah

[tawny pewter]

idk

[upper karma]

or wait

alright so

angle XWY = angle XYW

and triangle angles sum up to 180

[tawny pewter]

ye

xwy?

[upper karma]

yes soz

so

2x+b=180

[tawny pewter]

ye

[upper karma]

🤔

oh wait what does arrow from b represent

[tawny pewter]

that its pointed to the angle

[upper karma]

is regular polygon all that's given?

oh yes ofc

[tawny pewter]

yes\

[upper karma]

I know how

[tawny pewter]

oooooo

[upper karma]

polygon has

==180*3

[charred spear]

540

[upper karma]

540 degress total

108 each

[tawny pewter]

wat

[upper karma]

hold up

[tawny pewter]

k

[upper karma]

oh

look

it's really easy

b=108

hm

hey alisher

[tawny pewter]

wat

[upper karma]

hey

because

hey pwa

s

[tawny pewter]

hi

[upper karma]

the polygon has all of its angles the same

b is the top angle

[tawny pewter]

b is the side of that triangle

[upper karma]

also tip of the polygon

[tawny pewter]

the right tip not the top tip

[upper karma]

there is just line draw which creates a traingle

which confuses

but b is 108

so we have b=108, c=60

[tawny pewter]

i dont get it

[upper karma]

look

you see a trapezoid

but it says polygon

thus triangle is part of the polygon

you see the line

WY

[tawny pewter]

ye

[upper karma]

imagine it doesn't exist

[tawny pewter]

OHHHH

WXYZV

[upper karma]

yes

[tawny pewter]

not

the whole thing

ok ok i get it now

[upper karma]

brb I gotta do dishes

[tawny pewter]

oki

thanks

[upper karma]

k

back

ok

@tawny pewter

for a I think it's 132

you have any idea why I think so? @upper karma @tawny pewter

uh

no

but i gtg to fetch lunch

so cya soon

alright

@tawny pewter are u here

[copper valve]

🐱

[upper karma]

hello woog

[copper valve]

hello

[upper karma]

@upper karma

[tropic stirrup]

Alish's handwriting is cute :thonk:

[tawny pewter]

eee

sry i was sleeping

[upper karma]

yo

[upper karma]

I want to find equation of plane bisecting angle bw two planes

Im getting

Idk if its right

But answer look like

@tropic stirrup

[tropic stirrup]

Uuh

Dunno how you did that though

Deriving the formula in your textbook is pretty easy

Set P(x,y,z) and use the distance formula to the two planes

Set them equal and get the abs off

[gritty flare]

ye so you turn the triangle

bottom side is both 6

bottom right angles are both 100

and bottom left angles are both 38

@somber frost 😄 so any more

i think you got that

[somber frost]

thank you and yeah there are only a few more sorry went and made kool-aid

[gritty flare]

:3 ok

[somber frost]

pretty sure it is C

[dark sparrow]

nope

all but one of these are actually correct

one isn't

alternatively, you could just solve each one for m, and pick the one that gives an answer different to all the others

[somber frost]

so c is the only one incorrect :p

wait so

[dark sparrow]

no

c is correct

[somber frost]

okay C is the incorrect answer which makes it correct

[dark sparrow]

no

C gives you the correct answer for m

C is not the right answer.

[hidden oak]

isolate m in all of them

[somber frost]

i get it now

[hidden oak]

one should give a different result

[somber frost]

lol just got it

D

[gritty flare]

B is answer

2/3 is m/5

[somber frost]

crap

B= 10/3

[gritty flare]

yep

[somber frost]

D= 6/5

[gritty flare]

m is 10/3

u got it why right?

[somber frost]

D is the only on different right?

[gritty flare]

no

it cant be

since 5 and m are same sides

and since m<5

m/5 is way to go

[dark sparrow]

yes D is the odd one out @somber frost

@gritty flare corbin needs the wrong equation

[gritty flare]

oh

then D

lol

[somber frost]

lol

[gritty flare]

3 and m arent same sides

[somber frost]

A,B,C all are the same

[gritty flare]

yes

[somber frost]

oh ... im sorry lol

i just need a small explanation and im sure i can get the rest of it

[runic jackal]

draw the shapes out

u will have a better idea

[gritty flare]

lol

this is such a good equation

i love i

[somber frost]

wth

[runic jackal]

good equation?

[gritty flare]

yes

it is a good equation

[somber frost]

Similar means that the ratio of sides is the same and the angles are the same.
If ABCD~EFGH then:
AB~EF
BC~FG
CD~GH
DA~HE

[gritty flare]

though i cant find second base

[runic jackal]

whats the equation

[gritty flare]

oh i found all the sides exept second bases

the small ones

[runic jackal]

i havent seen the question dough

[gritty flare]

AB is Similar to EF

BC to FG

AD to EH

CD to GH

trapezoid scale is 2/3

[somber frost]

what questions?

[gritty flare]

that is question one

similar sides

[somber frost]

AB~EF
BC~FG
CD~GH
DA~HE

[gritty flare]

yes

now angles

FEH - BAD

GFE - CBA

HGF - DCB

EHG - ADC

[somber frost]

okay

so

[gritty flare]

im trying to determine perimeter now

[somber frost]

FEH~ BAD

GFE~CBA

HGF~DCB
~ABC
EHG

sorry about that last bit

[gritty flare]

i cant find the last

i cant find top bases

[somber frost]

🤔

[gritty flare]

I cant find a

oh i got it

ok

wait no

[runic jackal]

that cant be the diagram

the scale factor is 2:3

[gritty flare]

yes i know

but side ratio is 1/3

and im trying to calculate top base

[somber frost]

im confused lol

[gritty flare]

i got one side of 8/3

[gritty flare]

oh i drew it incorrectly

:/

[somber frost]

AHHH

i get it now

[gritty flare]

damn

[somber frost]

lol

thank you cheeze

[gritty flare]

well I assigned sides incorrectly

[somber frost]

and thank you for trying solar

[runic jackal]

yeah no problem

[gritty flare]

cheeze im so dumb lol

[runic jackal]

just remember how similarities work ur fine to go

[gritty flare]

that base confused me

Ab and DC were bases

o.o

[somber frost]

lol 63

[runic jackal]

why do the bases confuse u

what 63?

[gritty flare]

bcs i assigned names to angles incorrectly

[somber frost]

63%

[gritty flare]

I did it like this

[somber frost]

but thats only 40% graded so

¯_(ツ)_/¯

[runic jackal]

hmm thats not impressive actually...

seeing that u asked tons of help here

[gritty flare]

:/

ye

[runic jackal]

hmm

[gritty flare]

did we do something wrong?

[runic jackal]

probably

or maybe just careless mistakes by op

[somber frost]

its fine guys

[gritty flare]

its not fine

[somber frost]

once again its only 40% graded

[gritty flare]

what does that mean

[runic jackal]

but its still graded

[somber frost]

i had to write a lot about it and stuff so 60% of that assignment was just me writing out small things that were simple for like 5 points each

anyways i still have a mid B

Ill come back and tell you my final grade you guys helped a lot thank you

[gritty flare]

we hope it will be high

[somber frost]

even if it was low i should still have a B

and most of my grade comes from projects

on to science bye thank you

[gritty flare]

oh

bye

[upper karma]

[tropic stirrup]

That reminds me of south park but oh well

:thonk:

[upper karma]

btw is my solution to the problem right?

did you see the problem

b=108, c=60, a=132

[tropic stirrup]

um

I'm half sure that b was meant to denote XYW

[upper karma]

oh

ok then

b=36

[tropic stirrup]

😩 👌🏼

[upper karma]

👌

took me quite a while to realize that it's a polygon and not a trapezoid kek

[slow oasis]

is there a formula that can determine the number of edges in an incomplete graph yet? I know the basic n(n-1)/2 but that only helps if all the vertices are connected.

[dark sparrow]

that can range anywhere from 0 up to n(n-1)/2 - 1

[slow oasis]

oh, so just 0 <= x <= n(n-1)/2

shame, ok

and that -1 at the end isn't needed. that is part of the n-1

[dark sparrow]

you said incomplete

[slow oasis]

oh, right yeah

completely forgot haha sorry

there technically would be an equation for it but it would be super long and you would find it easier to count by eye

[vapid kettle]

I mean reasonably the most useful formula would be "E"

since algorithmically and in almost all applications when you have to graph available (like the graph isn't some vast network or you're not doing some property testing thing on something big) the number of edges is readily available

[slow oasis]

I think I am more looking into the brackets section of that comment.

if say you had 200 vertices and were only given a table with one column being numbers to represent number of edges and another column for how many vertices have that number of edges

and then the next step would be to draw a legal graph from it using the table (I assume digitally using a program and not by hand)

^this is just more of an example than something to put real life thought into

so if I know # of vertices and a list of how many of them have what number of edges connected (not as simple as adding up the table because a lot of them will be doubled up and will amount to a lot more than 200 edges if you add the table), would it be possible to digitally draw up the graph and then count the edges

^also cannot just /2 because it is an incomplete graph that I was looking at

to give a really basic example, Alcuin's river crossing puzzle

if you added more than just those 3 objects and had C number of carnivores, H number of Herbivores and P number of let's say plants. The graph formed with the relation of what eats what would be incomplete because carnivores don't go for plants in that situation

^ I am 100% sure there isn't any simple formula for it now because it would solve the P versus NP problem

to be able to calculate the edges and then figure out how many trips and size of boat needed, I mean

not just the edges

I am asking for pointers as to similar research theories and guidance as to how I could digitally draw the graph

[vapid kettle]

well I skimmed but

summing up the degrees of each node and dividing by 2

should work :p

if your graph representation is the adjacency list representation: You have a Map Nodes -> Lists of edges where a node is mapped to the edges connected to it

I see the "cannot just /2 because it is an incomplete graph" you can indeed /2

and by big graph it means something that your program or whatever does not have in memory: e.g. the interwebs

you don't have a backup of the interwebs on your computer

[slow oasis]

wait, ok i see how /2 works now. I knew already but i must have assumes there were left overs. I have not ben thinking too mcuh today

[vapid kettle]

but yah "big" as used here usually refers to mmm

really really big graphs or data structures

200 nodes is not that much ~

but it's an interesting field of study: sublinear algorithms for property testing

[slow oasis]

I am sort of new to this sort of stuff, as you can tell. I was never taught it in school and I only came across it when I was looking at a few different things on YouTube

[vapid kettle]

ah well your problem, whatever it is, does not seem to be this kind of problem

probably have to get closer to the billions of nodes on that scale

or mmm

billion might still be small

cause are often sparse

idk I just do the theory so I'm pretty bad with naming the actual scale xD

[finite topaz]

hello friends

[umbral rivet]

hoiii

[finite topaz]

how do you prove that the four isometries are the only isometries in the plane

is that just through the number of fixed points for possible isometries?

[copper valve]

translation, reflection, rotation

what's the fourth?

[restive void]

<@&286206848099549185>

[upper karma]

x is what u need?

[umbral rivet]

yikes

[restive void]

indeed

so i solve these using a proportion

i got x/100 = 36/x

[upper karma]

didn't work?

[restive void]

well

the answer key says 46

i didnt get 46

i meant

48

[upper karma]

oh

ok wait

are the sides equal?

[restive void]

i assume since their are no congruency marks no

but my teacher showed us a way its equal

[copper valve]

36²+x²=a²
x²+64²=b²
a²+b²=100²

[upper karma]

you could use pythogorean theorem

[copper valve]

then substituting them into the last equation

[upper karma]

if you knew the sides

[restive void]

i just checked my work

answer key is wrong

[copper valve]

36²+x²+x²+64²=100²

2x²=100²-64²-36²
2x²=4608
x²=2304
x=48

lol idk proportions XD

but there's the pythagorean way

oh

[runic jackal]

oh its answered here

[copper valve]

36/x = x/64

that's a lot faster, haha

x²=2304
x=48

[waxen gorge]

^

Just try imagining it

[runic jackal]

x = 6 * 8

[waxen gorge]

U can flip the top triangle in ur mind

[upper karma]

bleh is smart guy now

[waxen gorge]

And see that it's proportional

[upper karma]

fr

[waxen gorge]

xD

[upper karma]

no sarcasm

[waxen gorge]

And don't expand it

Do what cheeze did

Split the square roots

So u don't waste a bunch of time

[restive void]

math is hard

sad

[copper valve]

hard is good

[restive void]

root 3645 and i dont have my perfect squares memorized to simplifyi t

[runic jackal]

[upper karma]

math is hard if you think it is

[dark sparrow]

3645?

factor that

[restive void]

im trying to think

of numbers

[runic jackal]

3645 isnt a perfect sq dough

is it

[dark sparrow]

3645 is divisible by 5

[restive void]

okay

[copper valve]

9×405=9×9×45=9×9×9×5

[restive void]

so

729 x 5?

[dark sparrow]

3645 = 729 * 5, yes

sqrt(3645) = 27 sqrt(5)

[restive void]

so then i have to sqrt 729

[dark sparrow]

sqrt(729) = sqrt(9^3) = (sqrt(9))^3

[restive void]

i dont understand symbols

cuz math is dificult

do you mean 9*3?

[dark sparrow]

no

[restive void]

is that like more simple

oh

darn

[dark sparrow]

=tex \sqrt{729} = \sqrt{9^3} = (\sqrt{9})^3

[upper karma]

9^3= 9 to the third power

[restive void]

9 cubed is 729 yes

but

i need to simplify 729 right

in my problem

[dark sparrow]

sqrt(729) = 27.

[runic jackal]

729 = 3^6 dough

[restive void]

oh

[runic jackal]

like what ann said

[restive void]

so it was simple and im a bit silly when it comes to math

[runic jackal]

i dont see why u cant just write down sqrt(729) as 27 straightforward

[restive void]

science is where i excel not math

i just wrote 27 root 5

[dark sparrow]

yes

sqrt(3645) = 27sqrt(5)

that's it

[restive void]

what if 729 wasnt equal?

i mean

like the square ropot of it

[dark sparrow]

wat

[upper karma]

equal?

[restive void]

so

wait

[runic jackal]

like not a perfect sq u mean

[restive void]

nvm

yes

thats what i mean

[upper karma]

it is

[runic jackal]

then factor out again

[upper karma]

not perfect square

[restive void]

oh

okay

[runic jackal]

until u get a perfect square

[dark sparrow]

you want to factor your radicand into primes

then pull out the largest perfect square factor you can

[upper karma]

if you see the number inside the root can be simplified more then do it

[dark sparrow]

i have to say, "simplify" is a term i have a love-hate relationship with

[upper karma]

why

[restive void]

so

to square root 112

i do

well 112 is divisible by 7 right>?

so 7 x 16

[dark sparrow]

yup

sqrt(112) = sqrt(16 * 7)

[upper karma]

so 4sqrt(7)

[restive void]

x = 4 root 7?

[upper karma]

4*sqrt(7)

yes

[restive void]

so i just simply square root the 16

i dont do anything else

until i get a perfect square

okay i see

[upper karma]

basically find a prime when multiplied by a perfect square = your number

[restive void]

would a proportion for this problem be x/16 = 100/x

or would it be x/84=100/x

[upper karma]

I didn't learn much proportions yet so I don't know

[finite topaz]

@copper valve the fourth is the glide reflection

[restive void]

or would both work?

[copper valve]

isn't that a combination of two other isometries though?

[finite topaz]

ye

[restive void]

okay someone help me again

ive gotten x^2 = sqrt 1600 into x = sqrt 800 x sqrt 2

but 800 isnt equally square rooted

[finite topaz]

that's why you multiply it by root 2

[restive void]

did i do it right?

[finite topaz]

yes

i think

sqrt 800 is the same as 20 sqrt 2

you multiply sqrt 2 by sqrt 2 to get 2, and that's 40

x = 40

on both of those equations

[restive void]

so my answer would be 800 root 2?

[finite topaz]

no

wat

when you say

[restive void]

wait

[finite topaz]

x = sqrt 800 x sqrt 2

sqrt 800 simplifies

to 20 sqrt 2

[restive void]

how do you simplify 800

[finite topaz]

and you still have to multiply that by sqrt 2 to get x

you factor it

[restive void]

400 and 2?

or

[finite topaz]

https://www.haverford.k12.pa.us/cms/lib5/PA01001043/Centricity/Domain/518/Simplifying Square Roots.pdf

[restive void]

im still so lost rage

so

i square root 800?

thats like

28

or something

some decimals

[waxen gorge]

When you see a square root

Try to think of a perfect square that divides it

If u wanna be able to do this quickly

Memorize the first 25 squares or so...
Or memorize the basics like 0-9 squared, 15, 20, 25, and 30 squared

Some of the times just looking at the square root it'll be apparentl

Like square root of 800

20^2 = 400

So it's the sort of 20 * 20 * 2

= 20*sqrt(2)

[crude kraken]

Worth noting: 8 = 2 * 2 * 2, trivial but it comes up all the time so spotting 8s can be really handy

[upper karma]

cheeze are you dark skinned

[crude kraken]

[1, 1, 1]
[2, 4, 8]
[3, 9, 27]
[4, 16, 64]
[5, 25, 125]
[6, 36, 216]
[7, 49, 343]
[8, 64, 512]
[9, 81, 729]
[10, 100, 1000]
[11, 121, 1331]
[12, 144, 1728]
[13, 169, 2197]
[14, 196, 2744]
[15, 225, 3375]
[16, 256, 4096]
[17, 289, 4913]
[18, 324, 5832]
[19, 361, 6859]
[20, 400, 8000]```

[runic jackal]

or maybe 800 = 2^5 * 5^2
so 800 = 2 * (2^4 * 5^2)
sqrt(800) = sqrt(2) * 2^2 * 5^1

[crude kraken]

sqrt(800) = sqrt(8)*sqrt(100) = 20sqrt(2)

[upper karma]

is sqrt of 2 one of a kind?

[crude kraken]

Not really

It occurs a lot though

[upper karma]

so there are other numbers that when taken square root endup as an irrational number?

[crude kraken]

Any natural number that isn't a perfect square

Irrational after square root

@hazy field made me spend half a day and a night proving that. >.>

[hazy field]

💙

[upper karma]

hmmm

but are they transcendental?

they're not right?

[hazy field]

nope

[crude kraken]

What's transcendental?

I hear it often, I think I googled it once and got confused

[hazy field]

a number alpha is transcendental if, for every polynomial p(x) with integer coefficients, p(alpha) is nonzero

[dark sparrow]

or said more simply

a number is transcendental if it is not the root of any integer polynomial

[crude kraken]

???

so wait

Every polynomial being up to infinite degrees too right?

[hazy field]

no

[upper karma]

I know it as after decimal point the digits go forever

[hazy field]

polynomials have finite degree

[crude kraken]

Then

[hazy field]

@upper karma that's just irrational

[crude kraken]

You can't do it with an irrational number?

[upper karma]

oh

[hazy field]

sqrt(2) is not transcendental

since it is the root of p(x) = x^2 - 2

[crude kraken]

👀

So to clarify

[upper karma]

my bad transcendental is not what I thought

[crude kraken]

I can't do something like

=tex p(x)=\sum_{n=0}^{\infty}c_nx^n

[hazy field]

that is not a polynomial

that's a power series

polynomials have finite degree

[crude kraken]

ok...

[hazy field]

numbers like e and pi are transcendental

[crude kraken]

Is there a quick way to validate if a number is transcendental, or do you just have to say "a program couldn't find a solution in 5 hours so it's safe to assume that..."

[upper karma]

can polynomials havve an irrational degree?

I think no

[crude kraken]

I don't think so

[runic jackal]

non negative integer powers

[upper karma]

oh ok

[hazy field]

there isn't a way no

proofs of transcendentality are ridiculously hard

[upper karma]

yeah makes sense why pi is trancendental

[crude kraken]

"nonnegative integer" I see you too like living fancy. sips cup of Natural's blood

[hazy field]

@upper karma polynomials have integer degrees

[upper karma]

yeah I get it

[crude kraken]

TIL more complicatedly what a polynomial is

[runic jackal]

0 and positive integers

[crude kraken]

I assumed that ax+bx^(1/2)+cx^(1/3)... was a 'infinite polynomial' of degree 1

Oh, hadn't realized 0 was in that set

[upper karma]

I get it now

the example with why sqrt 2 is not transcendental really explained it

[crude kraken]

https://en.wikipedia.org/wiki/Lindemann–Weierstrass_theorem send help am confused

nvm gtg

[white swift]

thats a unit circle

but an imaginary one

:^)

[upper karma]

do u watch anime

[white swift]

yes

[runic jackal]

polar form

[white swift]

lmao

cheeze

[upper karma]

jkjk

[white swift]

how ru

[upper karma]

did you make friends in singapore?

[white swift]

cheeze is in singapore o.o?

[upper karma]

rn ye

but he is from indonesia

[white swift]

interesting 😮

[upper karma]

where are you from?

[runic jackal]

yeah i did

i did make friends in singapore

and yes im from indonesia lol

[white swift]

Bulgaria \o/ but im currently living in the uk

[upper karma]

cool

[white swift]

do u live in russia?

[upper karma]

no

[runic jackal]

wait why is alisher asking about singapore

[upper karma]

just asking

[white swift]

he's stalking you

[runic jackal]

grate

[white swift]

:'o

[upper karma]

😮

I'm from Uzbekistan but I live in US

[white swift]

wait but is your native language russian

I remember seeing you talk russian with ann

[upper karma]

yeah I talk russian and uzbek

some german

[dark sparrow]

i seem to speak french to some extent, of all things

[upper karma]

cool

[white swift]

wah, french's too hard for me .-.

[crude kraken]

Wanna learn a foreign language but I can't pick one :i

[upper karma]

@crude kraken want me to pick one for u

that sounds like an excuse btw lol

[crude kraken]

No I'm not learning Chinese

Ok pick

[upper karma]

alright

[crude kraken]

(Or any logographic language)

[runic jackal]

learn a programming language

[crude kraken]

I know 3

[upper karma]

italian?

[runic jackal]

oh my god

[crude kraken]

Oh my god Italian why

[upper karma]

or spanish

[crude kraken]

NOT Spanish

[upper karma]

why

[runic jackal]

chinees

[crude kraken]

Maybe Italian 🤔

[upper karma]

spanish has many latin words

so it's cool

[crude kraken]

If I wanted Latin words I'd learn latin

[upper karma]

ok

well

chinese would be really nice

since many people speak it

[runic jackal]

many people in asia lolol

[upper karma]

and by many I mean more than 1.5 billion ppl

yeah but there is this thing

internet

also immigrants

[cursive nexus]

it's really hard though

[upper karma]

what doesn't kill us makes us stronger

[runic jackal]

[cursive nexus]

what if I cut off your arms

and you didn't bleed to death

are you stronger

[upper karma]

well I have the experience so I know how to next time not get my legs cut off

[cursive nexus]

but what if you got both your arms and legs cut off

what do you gain out of this

[runic jackal]

rule #64920 u dont talk about a joke so seriously

[upper karma]

bruh you know I meant not physical thing

[white swift]

LEarn germen

[runic jackal]

du bist meine zuckerstange

[upper karma]

chinese is still better since more ppl speak it

I think that's wrong so I'll delete that

@crude kraken learn chinese or italian

you pick

chinese is way more useful than italian ofc

[runic jackal]

u cant pick from two options

thats so few

[upper karma]

or german

chinese is way more useful tahn german too

other languages<chinese<english

[crude kraken]

Chinese is pretty popular here...

[upper karma]

what about hindi tho

see it is useful

I kinda regret picking german as my language

to learn

[crude kraken]

I can just learn French :p

[upper karma]

wait where are you from

again

[cursive nexus]

I think it's best to actually be interested in the language you are trying to learn

instead of appealing to its usefulness

because it's a huge chore to learn a new language and you'll stop if you get bored of it

[upper karma]

yeah but language like italian is spoken in italy where people speak english

and as he said chinese is popular in his area

[cursive nexus]

I think it's safe to say you're not interested in italian

[upper karma]

so he would have people to practice on

which is important in learning a new language

[cursive nexus]

yeah that's why people move to the country for a bit

where it's a primary language

[upper karma]

and he doesn't even have to since he can just make friends who will help him

[cursive nexus]

you can only go so far with a few friends

[upper karma]

if you really want to

you can get fluent in languages without leaving your country

even by using discord

[cursive nexus]

I can agree with the first claim though it'll take really long

Using discord well I guess if you're taking private lessons via discord

and talk from here

I guess

[upper karma]

you can just join a server with people who speak language you need and regularly visit the vc

you need to study hard though

to start to understand

I am sure people will be glad to help if you're trying to learn their language

[tropic stirrup]

Learning language is funnnn

[runic jackal]

oh nice

toast learn korean

[tropic stirrup]

Well let aside the boring bits when you memorize vocabs but
when you start to get something, when you start to understand someone speaking a little bit by a little bit
that's when the fun peaks x'D

[upper karma]

how many languages do you speak gurl

[crude kraken]

I know two polyglots

[upper karma]

agree

nouns are the hardest bc there are thousands of em

[tropic stirrup]

I speak two languages, Korean and English
however I'm learning two more languages, Spanish and German

[upper karma]

what about chinese

you know some

don't you

[tropic stirrup]

That's just cause I know hanja

[runic jackal]

what are polyglots

is hanja like kanji

[upper karma]

people who speak many languages

[runic jackal]

ohhh

[upper karma]

that's why "poly"

[runic jackal]

i speak four :3

[upper karma]

wha

fr

[runic jackal]

yeah

[upper karma]

what are they

[tropic stirrup]

What lanauges?

[runic jackal]

english, indonesian, malay, a dialect of chinese

[tropic stirrup]

Ah

[runic jackal]

if u wanna count chinese that would be five but nah

i understand chinese but i dont speak it

[upper karma]

which did you learn not because of your environment?

[tropic stirrup]

I heard Malay and Indonesian are closely interconnected... if I'm remembering correctly that is

[runic jackal]

its connected yup

i learned malay

[tropic stirrup]

xD

[runic jackal]

actually STUDIED malay

in singapore

[upper karma]

😮

[runic jackal]

picked up the dialect of chinese (from my parents) and indonesian because im from indonesia

and english in school

[upper karma]

nice

what about u gurl

[copper valve]

i only know how to complain in malay

[tropic stirrup]

I.... of course should speak Korean cause I'm a native who has been living in Korea for the entirety of his life
and... well it can't be said I learnt English in school, cause I learnt it through the internet
plus I'm currently learning Spanish and German via the internet as well so

[upper karma]

learnt

like in german

?

at least the ending

idk the verbs tbh

[tropic stirrup]

"learnt" is the past and past participle of "learn"

[upper karma]

in

?

[copper valve]

what is participle ;o

[tropic stirrup]

Participle is.... jesus this is getting to some deep grammar

[copper valve]

sounds like a mash between principle and particle

[tropic stirrup]

It's an application of verb so that it works like an adjective in a sentence

[copper valve]

nope no idea what any of that means

nvm xs

[tropic stirrup]

For example, "that is a one deformed S."

[upper karma]

oh

[tropic stirrup]

"deformed" is a variate of "deform" (a past participle)
however as you can see it works like an adjective, modifying the "S"

[upper karma]

deformed is both

[runic jackal]

participle :0

[upper karma]

adjective and verb

?

[tropic stirrup]

this is the harmful effect of learning English in Korea xd

[upper karma]

like verb in apst tense

[copper valve]

how long did it take to get so good at english

[tropic stirrup]

Uuh

[runic jackal]

i learned it in school so probably 13 years and counting

[tropic stirrup]

well I started learning English when I was 6 months old so

English alphabets, that is

around 15 years I guess? x'D

[copper valve]

oh, longer than me then

[upper karma]

lol

when you were 15?

or

15 years

[cursive nexus]

OK! To keep this in geometry

I will post my old homework

https://www.screencast.com/t/wYmojYkbv

[copper valve]

how old is this

[tropic stirrup]

😒

Reeeeeeeeee

[upper karma]

ree= mad?

[copper valve]

also whats dz

[cursive nexus]

complex differential

[copper valve]

@.@

i have no clue

[cursive nexus]

well

2017 spring semester

[copper valve]

we have migrated to general

to dodge hyperbolic geometry

[cursive nexus]

lol

https://www.screencast.com/t/NqZHgEla4B

I liked this comment from my professor

If Gauss could prove it you should be able to also

[tropic stirrup]

x'D

[waxen gorge]

Lol

[solemn shuttle]

Damn

[upper karma]

students overrated

[slow oasis]

The sum of all the edges attached to a vertex in the range 0 to n divided by 2 would be the same as doing n(n-1)/2 right?

[upper karma]

Angle A = Angle C, and angle C and angle B are supplementary

Just given that, would I be able to claim ABCD is a parallelogram? my teacher said i needed more information

btw he showed me an example of isosceles trapezoid to say it wont work

[runic jackal]

use alternate angles

extend DC until DF where DF > DC
angle ABC = angle BCF

therefore B and C are supplementary

[upper karma]

yeah but i am trying to understand why the information(A=C and C+B=180) doesnt prove its a parallelogram

[runic jackal]

if A = C and B = D it would make a parallelogram

[upper karma]

he mentioned this property is also present in isosceles trapezoid

can you please explain how is that

[runic jackal]

but isosceles trapezoid is wait

[upper karma]

Using a statement reason chart this is what i wrote

[upper karma]

1. B+C=180, A=C 1) Given

2. ABCD is a paralellogram 2) In a paralellogram, two adjacent angles(B and C) are supplementary and opposite angles are congruent.

is there anything wrong with the second reason?

[runic jackal]

no

nothing wrong

[upper karma]

idk i was just thinking over and over again it makes sense but i didnt wanna talk back to my teacher

thanks for helping @runic jackal

[runic jackal]

what did ur teacher say

[upper karma]

he just told me that reason # 2 also works for isosceles trapezoid

[runic jackal]

yeah angle A = angle B

[upper karma]

we were asked to prove that AD and BC were parallel

[runic jackal]

oh i get it now they are not opposite

in parallelogram yes they are parallel

[upper karma]

the easiest way I thought would be to show that this forms a parallelogram

[runic jackal]

wait why are u doing these trivial proofs

[upper karma]

idk cause its the state standards

[runic jackal]

ah grate

[upper karma]

the method he showed was to extend the lines

[runic jackal]

in what shape

[upper karma]

in all directions to show that there exists interior angles

he proved by interior angles

[runic jackal]

ohh

[upper karma]

i meant alternate interior* showing that they are equal

[runic jackal]

on a parallelogram?

i see

[upper karma]

no no no, he did some other angles first

like showing that A+D is 180

therefore its parallel

whatever i just feel satisfied that i know the answer

[runic jackal]

oh

[fickle lion]

So I have my midterm for Honors Geometry soon; What should I have on the two pages of notes I'm allowed to bring to the test?

[upper karma]

Same 🤔

But I can't use notes

[fickle lion]

yeah luckily I can bring 2 full papers

typed aswell so I have them in size 9 font without margins

[upper karma]

what do you have the most trouble with?

I think you should use notes for similarity

[fickle lion]

I'd have examples on my notes but that's the one thing I'm not allowed to

I sometimes have trouble forgetting how to actually solve the problem

[upper karma]

is it possible for a quadrilateral to exist such that the one pair of opposite angles are congruent however the other pair is not?

In a kite

thank you, i was thinking of this problem for a while

np

[radiant lantern]

hey

[copper valve]

hi

[tribal ridge]

Is this the right place to ask questions on area?

Not sure if the question was originally posted here, but if anyone could offer some insight on this question that'd be great

[dawn dome]

I had a dumb question

Why is cos(100pi/3) the same as cos(pi/3)

[upper karma]

here's a hint, cos(x) = cos(x + 2pi)

[dawn dome]

OK so you went around the unit circle 50 times?

For 100pi

Which would leave the value unchanged

Is that it?

Wait no cos100pi/3 is -cospi/3

[dark sparrow]

100pi/3 = 32pi + pi + pi/3

cos(that) = cos(pi + pi/3) = -cos(pi/3)

[dawn dome]

Okay so you went around 32 and a half times

The half makes it negative

Got it

[dark sparrow]

no

16 and a half times

32pi = 16 rev

[tropic stirrup]

2pi = full circle

[dawn dome]

O yeah dang

Should revise trig

Also

Have I been told a lie all my life

I thought cosx only ranges from - 1 to

1

The log here has to mean log base e here, must be a typo

[dark sparrow]

@dawn dome cos(x) only goes between -1 and 1 for real inputs; as a function from C to C it's unbounded

also, it's very common in math for unbased log to refer to log_e

[tropic stirrup]

👀

[dawn dome]

Oh

Damn

For me unbased ALWAYS meant base 10

E is usually just ln right

[runic jackal]

they been referring it to log_10 😩

what E?

[dawn dome]

The constant

[dark sparrow]

exp(1)

[runic jackal]

is there such thing as E?

pls write it as e

[dawn dome]

Why do all math nerds get triggerd when I say e = 2.71

[runic jackal]

hmm why u gotta put it in 3sf then

[dawn dome]

My keyboard capitalized it sry

3sf?

[runic jackal]

3 significant figures

[dark sparrow]

because e and 2.71 are two different numbers

[dawn dome]

Could I write 2.71...

[runic jackal]

no but why do u need to write 2.71

why not write it as e

[dawn dome]

Idr why I had to

But I did

And I pissed off like 4 people lol

[runic jackal]

if the answer is 4e just write it as 4e

u dont have to

==4 * 2.71

[charred spear]

10.84

[runic jackal]

unless the question tells u to give it in some significant figures

[dawn dome]

K

[upper karma]

partly the reason why people don't care about the base of a log so much is that all logs vary by just multiplying them by some value

[dark sparrow]

yeah all logs are proportional

[runic jackal]

lg

[final prairie]

=tex \operatorname{tg}

[final prairie]

worst

[dark sparrow]

yeah fuck that

[tropic stirrup]

https://cdn.discordapp.com/attachments/359052581022203914/401341016705204224/unknown.png

Find the minimum possible length of the path from A to Q that passes through P, M, B sequentially among all the possible square APQR.

Just to let this going

[upper karma]

found it

http://prntscr.com/hzgndg

[waxen gorge]

xD

[tropic stirrup]

-_-

[waxen gorge]

10?

Idk that's what it looks like :P

[upper karma]

so we're allowed to make the square any size we want and any orientation we want I guess

and I assume M is the midpoint of AB

[runic jackal]

does it look like 10

[upper karma]

it's just not fun when you don't state the question clearly though

[tropic stirrup]

Lel

[upper karma]

h e l l o

is M the midpoint y/n ?

or just some arbitrary point

no reason to believe the solution isn't in terms of parameters, might as well make that 6 into a letter too

[tropic stirrup]

M is the midpoint of AB

[barren sparrow]

Hey can someone help me out here please?

Apparently the answer is B but I dont know how to get to it

[slow oasis]

do it backwards

[dark sparrow]

p + q = 180
r + s = 90
q = 3r
p = 75

brushing aside the clutter, this is what you're given

and you're asked to find s

@barren sparrow

[barren sparrow]

OHH I know what I did wrong

I did p+q=360 and r+s=180 instead of 90 and 180 lol

ooo so it's 90-35=55, I was doing 360-35 the entire time for some reason lol

tyy

[dark sparrow]

so idk how interesting this'll be to y'all, but i wrote a test which, in theory, a russian 10th or 11th grade student who performs well in geometry should be able to pass

[final prairie]

Huh. Interesting to see that this is way higher-level than here

3D ¯_(ツ)_/¯

i think 3D is 12th grade here

[narrow sleet]

So math class in Russia is also seperate into topics loke algebra class and geometry class?

[dark sparrow]

yeah, algebra, geometry and (at least in my school) analysis

[narrow sleet]

Analysis? Like logic and algorithms?

[dark sparrow]

no

real analysis

think calculus but with more rigor

[narrow sleet]

Ok

[restive void]

Is x just 8 root 3

<@&286206848099549185>

or do i have to do more than that

[white swift]

I'm thinking Pythagorean theorem?

[restive void]

theres easier way to use pythagoreans that my teacher taught me

im in geo i dont know trig

frown

[white swift]

or trig 🤔

[restive void]

so my teacher taught me its a 30-60-90 triangle, and opposite 30 degree the side is L opposite 60 is L root 3 and the hyopteneuse is 2L

so with this could i just do 4 root 3 times to which = 8root 3?

hint i dont like my math teacher frown

[white swift]

yeah that's a property of 30/60 triangles

[restive void]

is four root three x 2 just 8 root 3?

[white swift]

what speak numbers please

[restive void]

4 sqrt 3 x 2

is that 8 sqrt3

for do i do something to the sqrt

[dark sparrow]

$$4\sqrt{3} \cdot 2 = 8\sqrt{3}$$, yes

[restive void]

or radicand

[restive void]

aaaaaaaaaa i suck at math

so if we use that property, how would I find L here?

[dark sparrow]

=tex L \sqrt{3} = 7 \ L = \frac{7}{\sqrt{3}}

[restive void]

why is that?

[dark sparrow]

divide both sides by sqrt(3)

[past mantle]

Wait, I thought u also multiply by $$\frac{\sqrt{3}}{\sqrt{3}}$$

[past mantle]

Then u get 7