geometry-and-trigonometry

[lime dune]

that’s to be expected yes

just round to like 3 or 4 decimal places

[quaint sequoia]

Alright do I round to the nearest tenth?

Bc then it would be 6.9

[lime dune]

unless your teacher specified a place to round to you can do whatever

[quaint sequoia]

Yeah it doesn’t mention rounding at all

So idk if it’s correct

[lime dune]

I usually like to include the hundredth or thousandth but that’s personal preference

the key is that it’s not an integer I think

so one or two decimal places should be fine

ask your teacher about it when you get the chance

[quaint sequoia]

So is the answer 6.9 for the diameter?

Or did we not finish?

[lime dune]

we just found the radius

but we’re almost done anyway

[quaint sequoia]

Oh alright?

[lime dune]

since the diameter is twice the radius

so 13.8

[quaint sequoia]

Hm should I risk it and put that in or wait?

[lime dune]

put in one more decimal place if you’re really worried?

[quaint sequoia]

I’ll just wait

For this question it’s asking for a true or false

It’s asking whether AB is the diameter of the circle

[lime dune]

false, ADB is not a right triangle

[quaint sequoia]

Wait why not?

[lime dune]

ED=EB=4

BD=4sqrt(2)

[quaint sequoia]

Where are you getting 4 from?

[lime dune]

(by Pythagoras)

I claim ED=EB because triangles AED and CEB are congruent

[quaint sequoia]

But how did u get 4😭

[lime dune]

sqrt(5^2-3^2)

[quaint sequoia]

Ooo

[lime dune]

=sqrt(25-9)=sqrt(16)=4

Pythagorean theorem again

[quaint sequoia]

Oh alright

Now this is asking for the radius of Q

[lime dune]

first let’s find x

what do you notice about those two chords?

how far are they from the center of the circle?

[quaint sequoia]

Those are equal so we set them as such?

[lime dune]

yeah

[quaint sequoia]

X=5

[lime dune]

yep

now what’s half the length of one of those chords?

(we’re getting ready to use Pythagorean theorem again here)

[quaint sequoia]

How do I find half the length?

[lime dune]

plug in x=5 into either of those expressions with x

and take half the result

[quaint sequoia]

Alright

24

Then it’s 12

For half

[lime dune]

yeah

and Pythagorean theorem to finish

[quaint sequoia]

🫡

Is it 13?

[lime dune]

yes

(side note: 5-12-13 is a very common Pythagorean triple, you’ll see it pop up a lot)

that is, right triangles whose side lengths are in the ratio 5:12:13

even more common are 3-4-5 right triangles

[quaint sequoia]

Ohhhh ok

I won’t submit bc of that tricky rounding question but thank you c:

[lime dune]

npnp, sry I got a little heated earlier 😭

sometimes my patience runs a bit thin (college life be like that)

[quaint sequoia]

No no it’s my fault completely I’m just a very visual person, I need to see someone writing down the process or else I won’t understand

[quaint sequoia]

That calc 2 has u in shambles

😂

[lime dune]

LMAO I’m in stats rn

[quaint sequoia]

LOL

[lime dune]

took calc 1,2,3 all in high school

[quaint sequoia]

WHTT?

IN HIGHSCHOOL?

[lime dune]

yeah

[quaint sequoia]

That’s wild were u in dual enrollment or sum?

[lime dune]

did both ap calculus courses sophomore and junior years

[quaint sequoia]

Taking that in highschool is crazy

[lime dune]

took some random online calc 3 class senior year (and then had to retake it my first semester of college bc they wouldn’t take it for credit 😭)

[quaint sequoia]

Wait so u can just go online and take college calc classes?💀

[lime dune]

yeah there are a fair number of online schools

and typically your local community college might have opportunities for dual enrollment as well

[quaint sequoia]

Hold on were u that type of person that took pre- algebra the summer of 5th grade? 😭

[lime dune]

I didn’t really start sweating math until like 6th grade

learned basically all of alg1 that year on my own (although I had to wait until 7th grade to actually take the class)

geometry + alg2 in 8th

so I entered high school in precalc

[quaint sequoia]

BRO I HATE MATH WITH A PASSION. I wasn’t born here so my whole philosophy with math is that “ if you don’t understand the very beginning you won’t understand shit fully in the future” 😂

[lime dune]

well yes a lot of math stuff is cumulative

which is why it’s unfortunate that a lot of students in higher level classes are very deficient in some foundational skills, often because of no fault of their own

[quaint sequoia]

Yes I can see that. My brain just can’t compute it, my memory sucks unless I spend days upon days studying. Something I won’t grasp it

[lime dune]

as with a lot of things

it takes consistent practice

[trail tendon]

with conceptual stuff, i try to take breaks and repeat to myself what i just learned. if i can't repeat it, i didn't learn it. lol. then i review it like that night, then the next day, until i think that if i see it in the future i will be able to do it.

[quaint sequoia]

Yes but at the same time I’d o blame myself, I should paid more attention but I’m antisocial and didn’t really lock in until my freshmen year of highschool. TBH I probably went into highschool with a gpa of like 1.8 from middle school 😭

[quaint sequoia]

I’m a very procrastinating person. 😔

[trail tendon]

yeah

i'm procrastinating history rn

by doing math

go figure ;-;

[quaint sequoia]

LOL. I gotta study for AP world 😂

[trail tendon]

yo thats what i wanna do actually

was that hard?

[quaint sequoia]

Idk anything that’s going on soo

[trail tendon]

dumb question

[quaint sequoia]

Ik im getting a 1 on that exam

[trail tendon]

LOL

[quaint sequoia]

ITS TRU, i don’t know what’s going on from unit 8 down 😭

It’s awful

And I can’t write DPQs for the life of me

I can’t write at all

[trail tendon]

DPQs?

[lime dune]

DBQ

[quaint sequoia]

DBQs

LOL

typo 😂

[lime dune]

I hated that shit in APUSH 😭

[quaint sequoia]

BRO I CANT WRITE FOR SHIT

Like the words don’t come to me

Idk how to start it

[trail tendon]

I can't talk, idrk what that is

[quaint sequoia]

Like in the moment I can’t remember anything

[trail tendon]

lol

[quaint sequoia]

Or think of anything

[quaint sequoia]

It’s basically a part of most history AP classes

It’s awful

They give you documents

[trail tendon]

how hard are AP classes compared to college classes

[lime dune]

AP math classes are a joke compared to the real thing

[trail tendon]

oh

im taking calc 1 at a college

[quaint sequoia]

Like 8 and u have 15 mins to read all eight think about what ur going to write and then write a whole 5 paragraph essay in a spand of 45 mins

[trail tendon]

i don't know how it compares to like calc AB or BC for example

[quaint sequoia]

I heard that AP classes are harder than college classes

[lime dune]

calc 1 ≈ AB

[trail tendon]

maybe my calc class is easier though idk

[lime dune]

calc 2 ≈ BC

depends on the school, and on the class

[trail tendon]

but don't they teach it in 2 semesters?

[lime dune]

AB does it in two

[quaint sequoia]

Nope

[lime dune]

which is dumb

[quaint sequoia]

☹️

[trail tendon]

it does one semester of college material in two semesters...

[quaint sequoia]

I hate math yall

[lime dune]

standard vanilla calc 1 in college is 1 semester

[trail tendon]

but the college material isn't even that fast...

[trail tendon]

oh

its 1 semester of AB?

[lime dune]

calc 1 is that math class everyone has to take

they can’t make it too hard

[quaint sequoia]

How do I even catch up now? Like how do I even study for math 💀

[lime dune]

both semesters of AB

hop on KA and start there

[trail tendon]

so AB is basically twice as slow as college class, and BC is the same?

of course slightly differeing depending on the college and the high school?

[quaint sequoia]

What was yalls GPA graduating highschool ?

[trail tendon]

i haven't graduated bro lol

um

[lime dune]

4.28 on a 4.33 scale (unweighted)

[quaint sequoia]

But u said u were taking calc 1?

[trail tendon]

yes

[lime dune]

4.75 weighted (the second highest weighted GPA ever achieved at my high school)

[quaint sequoia]

I thought unweighted was 4.00

[trail tendon]

like a dual enrollment thing kinda

[quaint sequoia]

Nothing above that

[lime dune]

A = 4, A+ = 4.33 at my HS

[trail tendon]

bros just on a different level lol

[quaint sequoia]

Oh lol. No I live in Florida so our weighted scale system is broken 😭 we hold the world record of 11.4

[trail tendon]

wait what 💀

[lime dune]

Florida 😭😭😭😭😭😭😭

my condolences.

[trail tendon]

was some dude taking college classes in k-12 grade bruh??

like umm????

[dusty ginkgo]

i am still in highschool basically have one exam left

[quaint sequoia]

Last year our highest to graduate for 2023 was a girl with a 7.4

[lime dune]

grading aside all the interference that politicians are having with y’all’s schools

is just

[quaint sequoia]

LOL

[lime dune]

ugh.

[trail tendon]

🤣

bro

imo

4.0 should just be

it

like

any more than that

doesnt make sense

[dusty ginkgo]

in our country grade doesnt even matter 💀

[quaint sequoia]

BRO IT MAKES ME FEEL SO STUPID

like that girl was a gpa whore 💀

[trail tendon]

you aren't lol

[trail tendon]

💀💀

[lime dune]

don’t obsessively compare yourself to others

[quaint sequoia]

She exploited the system she KNEW

[lime dune]

even I struggle with that still

despite having been one of the very very top students at my HS

[quaint sequoia]

she would take an AP class irl and then the same HONORS class online and since our gpa system is so broken it just keeps going up

[lime dune]

what the

😭

why.

[quaint sequoia]

BC SHE WAS A GPA WHORE. That’s what they are called

[trail tendon]

stacking classes

[quaint sequoia]

They STRIVE for the largest gpa 😭

[trail tendon]

💀💀

[lime dune]

I will admit I was kinda like that too 😭

[quaint sequoia]

THATS the literal term yall😭

[lime dune]

when I entered HS the gpa record was 4.74

I was like

[quaint sequoia]

I wish I had that much dedication I get burnt out so easily

[trail tendon]

like imagine getting your score at 174% like wth

[lime dune]

“imma break that record”

and I did

[trail tendon]

💀

[lime dune]

simultaneously with one of my classmates

he ended at 4.81, I ended at 4.75

[quaint sequoia]

😭

4.8 at my highschool is below average

I think average is 5.5

Rn 😭

[lime dune]

I was SWEATING that shit, my lowest grade in HS was an A 😭😭

[quaint sequoia]

But how did u understand all the material?

[lime dune]

colleges will calculate high school GPAs on their own scales when reading applications just to even the playing field

[quaint sequoia]

I JSUT CANT

[trail tendon]

I never actually took precalc ( I self studied it), and i took geometry so long ago that i have quite a few holes in both subjects so i'm trying to fill in those holes. its hard tho

[lime dune]

idk how much of it can be chalked up to just talent and how much of it was being really damn persistent

[quaint sequoia]

Im struggling just trying to keep up with the kids at my school

[trail tendon]

mindset is a huge factor. getting help. learning strategies.

[quaint sequoia]

But it JSUT feels like there’s not enough time in the day

[trail tendon]

what do you do in the day?

[lime dune]

start small

one step at a time

[trail tendon]

just do it in your free time?

[lime dune]

I get it, it can feel overwhelming to try to do everything at once

[quaint sequoia]

My counselor ruined my whole 4 year plan

Just because she wouldn’t let me take chem hon online

She said it was too hard

And I’m afraid it is

[trail tendon]

💀

[quaint sequoia]

I’m taking algebra 2 online rn and ngl I’m struggling I JSUT can’t grasp the concepts

And I have to finish that anyways before I start chem

So it’s a done deal

And even if I get started on chem during the summer there are 108 assignments I won’t be able to finish them before the end of summer knowing me

[trail tendon]

i was gonna take precalc this semester but i felt that i was ready for calc. i took 2 days of precalc and just transferred to calc. people say "you need to practice precalc" and stuff, but honestly I have been trying to self study it on the side and my calc class is pretty easy, so i don't regret my decision. Maybe when i get to calc 2 and 3 i will find that i had holes in precalc, but im trying to fill those holes rn so...

and i was thinking calc might be too hard

so i almost didnt do it 💀

[quaint sequoia]

Bc I wanted to take AP physics but I need chem first it’s a mess 😔

[trail tendon]

bruh

[quaint sequoia]

I’m gunna end up taking it señor year

How sad

[light dock]

grades are overrated

[trail tendon]

i don't know how good i am at any subject besides math

i could be absolutely horrible at everything lol

i think im decent in like writing but meh

[quaint sequoia]

I suck at everything except science 😭

And I’m still bad at them

[trail tendon]

what do you learn in science?

[quaint sequoia]

I’m in bio rn

I just like science

[trail tendon]

what are you learning in it lol

[quaint sequoia]

That’s why I wanna major in astronomy and physics

But I suck at math

So idk

[lime dune]

fortunately most STEM majors in college don’t require anything beyond calc 2

[quaint sequoia]

Physics scares me

[trail tendon]

everyone kind of does...

except elrichardo

but

yk

[quaint sequoia]

LOL

[lime dune]

physics/EE will often require calc 3

[trail tendon]

XD

[quaint sequoia]

that try hard 💀

[lime dune]

😭

still holding a 4.0 four semesters in

[trail tendon]

i think you should try hard, but not aggressively try hard or struggle with it. just keep doing it.

[quaint sequoia]

I wanna take AP physics señor year would u recommend?

[trail tendon]

in college?

[lime dune]

depends on your teacher

[trail tendon]

lol

[lime dune]

my AP phys1 teacher was actual ass

[quaint sequoia]

EVERYDINGLE AP TEAHCER SUCKS

[lime dune]

like MULTIPLE people failed the exam directly because of his incompetence

[quaint sequoia]

THEY SUCK THEY DONT FUCKING TEACH

THEY SUCK

[trail tendon]

can't you get help?

[quaint sequoia]

everysingle one

[trail tendon]

like bug them until you understand it?

lol

[quaint sequoia]

THEY ARE ALL ASSHOELS

[lime dune]

often times

they don’t even have that good a grasp on the material themselves

😭

[quaint sequoia]

they can’t explain for Jack shit bro

[quaint sequoia]

LOL EXACTLY

THEY READ OF FUCKING SLIDES

[trail tendon]

so then you're just screwed...

[lime dune]

see: my HS’s AP CS “”””teacher””””

[quaint sequoia]

AND NARRATE like I CAN REASSD

[lime dune]

LITERALLY COULD NOT DO ANYTHING

HAD TO HAVE HER OWN STUDENTS

SHOW HER HOW TO DO THE ASSIGNMENTS

😭😭😭

[trail tendon]

LOL

[quaint sequoia]

bro I’m telling you it’s useless trying to actually learn shit in AP classes for the teacher

[lime dune]

how did she even get hired.

[quaint sequoia]

You might as well go home and teach ur damn self

[trail tendon]

as long as you have material, then yeah

[quaint sequoia]

I hate this so MUCHH

I wanted to go to Princeton but it’s too late now yall 😔

[trail tendon]

i almost want to take calc 2 in the summer, but i don't know if i have the physical ability to do that 💀

[quaint sequoia]

Gpa is no where near good enough for that shit

[trail tendon]

because i want to advance in math in the summer

[quaint sequoia]

People say it’s the worst calc

[trail tendon]

but it might be too hard lol

[trail tendon]

differential equations seems harder

but yea

[quaint sequoia]

I mean try it but people say it’s terrible

[trail tendon]

well

im taking

it

either way

but i'm wondering if i can do it in summer

do yall think its possible 😭

i prob wont

but

[light dock]

grades are overrated

[trail tendon]

🫠

[quaint sequoia]

@lime dune you think I’ll get into Princeton with a 4.3 weighted and a 3.92 unweighted 😃

[light dock]

you can get into princeton with a 2.0 gpa, no one here knows anything about you or what you’ve done so far or what you want to do, so how could they possibly tell you whether you would get in

[trail tendon]

grades may be overrated, but they are rated

[trail tendon]

princeton doesn't know that either, all they know is you got a 2.0 gpa ☠️

[quaint sequoia]

That is true but I have no extracurricular other than band and it’s not like I’m the drum major I have nothing

I don’t even think I’ll be able to get into university of Florida

[light dock]

you won’t get into princeton with a 5.0 gpa if you’re not interesting

grades are overrated.

[quaint sequoia]

How can I be interesting?

[trail tendon]

maybe be passionate about something?

[light dock]

look, i’m not a college admissions expert or anything, but i find it really disturbing when i hear talk like this “oh are my numbers good enough”

[trail tendon]

something constructive?

[lime dune]

even with absolutely insane record breaking grades/scores I didn’t hit any of my reaches 😭

[quaint sequoia]

What uni do you go too

[lime dune]

usc

[trail tendon]

disturbing doesn't mean its an invalid question

[lime dune]

(Southern California)

[quaint sequoia]

Idk WTH that is but👍😌

[lime dune]

I actually got in here as a music major LOL

(piano)

[quaint sequoia]

Lol I play the sax

But idk I’m really passionate about space and science

[light dock]

it is also an invalid question

there

[lime dune]

my best advice is

[trail tendon]

I would like to disagree

[lime dune]

don’t obsess over the top names

[trail tendon]

the colleges do look at numbers

[quaint sequoia]

what are some things I could do to prove that I’m passionate abt it?

[lime dune]

ofc I was salty as hell over not getting into Harvard in the days immediately after

[trail tendon]

to prove to the colleges? or to prove to yourself?

[lime dune]

but now two years out im like

“meh whatever”

[quaint sequoia]

To the college

That I’m passionate abt that

[lime dune]

legit just

be yourself

[quaint sequoia]

Wait so what’s the lowest acceptance rate collage u got into?

[lime dune]

don’t contort yourself into a “package” just for a college

USC’s rate was 12% the year I got in

🫠

[trail tendon]

dw about that rn lol

i can't solidly give college advice

cuz

[inner vapor]

does college where you go matters?

[trail tendon]

never did it

but

[lime dune]

depends on what you want

[trail tendon]

to have a passion, just be interested/learn more about the thing you're passionate about

[lime dune]

what you do matters much more than where you go is the general rule

more renowned schools have the advantage of more easily accessible resources/connections but just bc you go to a state school doesn’t mean you’re shut out of those opportunities

[quaint sequoia]

My dream collage is ofc Princeton mainly bc it’s the #1 rn, but I’ve been seeing the STAT videos people make that got them into Princeton💀…. Sit there like not in a million years would I EVER be able to get into that shit

[trail tendon]

why is it your dream college?

[light dock]

what do you want to do with your life

[lime dune]

and then there are the people who will LITERALLY sell their soul just for this kinda shit

[quaint sequoia]

But my second best choice is University of Florida (UF)

[lime dune]

do they actually enjoy it? or have they been brainwashed too much by this extremely toxic COLLEGECOLLEGECOLLEGECOLLEGECOLLEGE hustle culture?

[inner vapor]

since when is it bad being passionate about academics?

[quaint sequoia]

I want to be an astronomer.

[trail tendon]

why?

[quaint sequoia]

Bc it’s known for their stem as well as there astronomy program

[trail tendon]

well. do you ever watch videos or learn about space? or things related to space like maybe physics/math?

[light dock]

being passionate about getting into college is not the same as being passionate about academics

[lime dune]

I kinda roll my eyes when people say they do high school “””””research””””” that they or their parents usually bribe their way into

[quaint sequoia]

And I could get a astronomy PHd there

[quaint sequoia]

Yes all the time I love space

[lime dune]

or when they start generic service nOnpRofIt number 1737384729472937193719471936192818

[trail tendon]

well then

keep doing what you're doing

you've got a passion

boom

lol

[quaint sequoia]

BUT THEY DONT KNOW THAT

☹️

[trail tendon]

🤣

[quaint sequoia]

😂

[lime dune]

surely there are opportunities online you can look into?

[trail tendon]

i guess they have college applications sometimes where you write about yourself? who knows...

[quaint sequoia]

Idk 😔

[lime dune]

my essays were horrible lmao

[light dock]

the latter is a great thing and the former will eat away at you until you are a shell of a person, optimized for an admissions team

[lime dune]

the only thing that got me into usc was my audition

[trail tendon]

i'm not going to lie

[quaint sequoia]

I went on this website for the statistics of my chances of getting into these colleges

[trail tendon]

im more or less forcing myself to be passionate about math

turning it from

[lime dune]

looking on those sites is pointless

[trail tendon]

meh its ok

to

yay

because

why not

i would choose math over other subjects prolly

i mean i did

loil

[lime dune]

focus on getting the best out of what you can do rather than staring down the pit of despair of people scoring 1637473737 on the SAT

[quaint sequoia]

These are my chances

[trail tendon]

but math also uses other subjects, so i could go into some subject that USES math, who knows

[quaint sequoia]

Of getting into my choices rn

[inner vapor]

but do all schools in the us have math bachelors?

[quaint sequoia]

One plus side abt one of my safeties (CU Boulder) is that it’s one of the top astronomy program unis rn

[trail tendon]

well

that looks good doesnt it 💀

but don't forget to keep looking lol

and keep doing more stuff about what you like

because Why Not

whoopsies, i learned something. oh no. 😔

[quaint sequoia]

Yeah wait nvm those are with some old stats lemme change the stats to wait I think they’ll be during graduation

[trail tendon]

lol

[quaint sequoia]

Nvm it only went up to 8% for Princeton

😭

Wait how do yal recommend studying for the SAT?

[trail tendon]

14%>6%

and dont worry too much about it

[inner vapor]

but some universities dont restrict yourself for certain master programmes?

[trail tendon]

i would like to know this too

i have a book on it actually

but

i'm not sure abt my capabilities lol

[quaint sequoia]

I heard KA

Is the best way to go

[inner vapor]

why not doing past sat exams?

[trail tendon]

i believe thers only 6

[quaint sequoia]

I saw this one person who got 1110 on the their first try on the SAT they grinded Khan Academy for like a total of 50 hours and they took the SAT again and got a 1520💀

[inner vapor]

sat type questions then.

[quaint sequoia]

So idk

[trail tendon]

i'm really bad at balancing my time

i wanna do my history and all the other homework, not forget about math, study precalc, study sat lol

but mostly i just do math 💀

[inner vapor]

isn't it practicing more and more problems the only way?

[trail tendon]

ig, but the only problem is theres a limited number of practicep roblems lol

[inner vapor]

I mean sat type questions also work, but you need to buy books that have those

which is expensive

[light dock]

pretty much

[inner vapor]

I also need to pass some exams to enter university

[lime dune]

KA’s SAT practice is decent

[light dock]

university is expensive. college applications are expensive in itself (you will likely spend more in college app fees than any study book you could possibly find)

[lime dune]

it helped me improve my reading score ||(800 math was a foregone conclusion for me LMAO)||

[inner vapor]

you got 800 on maths?

wow

[lime dune]

||+780 reading||

[inner vapor]

why enter music degree doe

would be my question.

[trail tendon]

i always make mistakes in math

idk why

i practice

i try to write out every step

i try to think it through

i always miss something🤣

[lime dune]

im double majoring in appmath 😃

obviously one is much more employable than the other

[inner vapor]

how is managing your time going? does double majoring impact your schedule in any way?

[lime dune]

it is utter hell

to the point that I am seriously considering downgrading to piano minor

scheduling/time management hell
I do not really care for most of the upper div music courses I would have to take
above all, I just want to keep playing in some capacity

plus I have to super overload on credits

most students at usc take about 16 units per semester (minimum for full time enrollment is 12)

these past two semesters I’ve taken

21

😭

and im still having to overload for my last two years which is not really desirable

bc I should be using a lot more of that time for career/grad school/??? prep

• touching grass every once in a while

[inner vapor]

when I start university I was thinking I would like to double major in math and cs but, due to my bad time management skills and because it will deny allowing me to work while studying I think I will have to decide between one of this, I feel you richard. If you do not care about music theory lessons you should prolly keep it as a minor tho

[lime dune]

I’ve already finished the music theory sequence here LOL

I actually even skipped first year theory

it’s all the other nonsense the music school makes us do that im not particularly enthused about

and although it’s stupid I have to keep in mind that being a double major can be a powerful bargaining chip when it comes to job search

so idk

[inner vapor]

is it?

specially for music degree?

[lime dune]

idk

“wow he can manage two very different things at once!”

but at the same time it’s tying me down from being able to fully lock in

which is why im leaning towards just cutting my losses and continuing piano in a minor

[velvet sleet]

Huuuuuuuuu

[velvet sleet]

Hello

[lime dune]

👋

[velvet sleet]

Hmm

[inner vapor]

I mean to double major you kinda need to schedule your time properly to make the credits feasible to be obtained with a whole strategy around it, you would need to skip some of the stuff from one major for something from the other

[lime dune]

which unfortunately isn’t really an option 😭

[inner vapor]

do you believe you are suffering from a sunk-cost fallacy here?

[lime dune]

yes very much so

lmao

[inner vapor]

in my opinion your math related employer is probably noy going to care much abt the music degree

[lime dune]

yeah

[inner vapor]

what would be the downsides of dropping music degree then? and keeping it as a minor?

its not like you are going to become a music teacher, or interpreter are you

you initially enrolled due to your curiousity but if you feel like you should be doing something else like touching grass or something else just do that

[lime dune]

nah

sunk cost baybeeeeeeeeeeeeeeee

(and a good deal of fomo that may or may not be justified)

I think the healthiest relationship with music that I envision is

I play whatever the hell I want on the side, for personal enjoyment

no stakes

no strings attached

no existential crises about the sorry state of the classical industry

(especially for non orchestral instruments like piano, my main)

[clear anvil]

Hey guys, if i have something like this

Can i extend the green lines and claim that this blue area also has side length n?

I can go as far as showing that these two triangles are similar by AA, but I'm kmissing the final cue lol (that is if i can say the length of the base of the blue triangle is also n)

#prealg-and-algebra

[main mountain]

mb didnt know which channel was right

[dire shadow]

guys

please

i need help

i don't know how to do that

[upper karma]

@dire shadow

[lime dune]

not in general, consider for example the case where the longest parallel has length 20, the second longest has length 18, and the next longest has length 16

[clear anvil]

no but if i'm given that the two lengths are n and n

then i'm okay with assuming that the extended triangle also has to be n right?

https://cdn.discordapp.com/attachments/326138757474680852/1222103635136086027/image.png?ex=6614ffb4&is=66028ab4&hm=c36195d3f0d4d0ea4d4bd877c4605d0c0452559c70889c888dbacfa854f06e45&

I'm starting with this^

[lime dune]

that's not a guarantee unfortunately

not without some other conditions like the shortest parallel being 1/3 the length of the longest

(can you see how that would work?)

[clear anvil]

yes that would be trivial then cuz that's just bashing similar triangles property i guess, right?

well, i found this question on the server:

and wanted to know how to solve it

oh wait

[clear anvil]

i think this fact holds here right?

[lime dune]

don't think so?

(i would start by dropping a perpendicular from D to AB)

[clear anvil]

and then?

[lime dune]

area ratios/similarity

[ionic adder]

You extend it and make a small similar triangle

like you did earlier

[strange edge]

Have you heard of Thales theorem ?
If you call the blue segment length b, and assuming the two green lines are parallel (I will call them p and q, the smaller green line is p, the larger is q)

Then by the Thales theorem
$ \frac{b}{b+2n} = \frac{p}{q}$

Solving this for $b$:
$$b = \frac{2n}{\frac{q}{p}-1}$$

So for $b$ to be equal to $n$, you need:
$\frac{q}{p}-1 = 2$
Which means you need the green lines to be such that
$q = 3p$ from the beginning to have the blue line equal to n.

[somber coyote]

Daddy_314

[strange edge]

This is the theorem I am using
https://en.m.wikipedia.org/wiki/Intercept_theorem

[clear anvil]

i see, thanks!

Btw so i guess this idea doesn’t work for the problem then right?

[strange edge]

What idea

[clear anvil]

On this

Extending the two left trapezoids to make triple similar triangles

the triangle wouldn’t have base length n (the blue one)?

[strange edge]

Well maybe it works, have you tried ?

Anything could work if it works

[clear anvil]

well what do you think the correct answer is?

i don’t have the answer but doing that gives 45

[clear anvil]

i mean it can’t work if it doesn’t satisfy the thales theorem stuff u wrote though right?

u said q = 3p

but that’s not really given here right?

[strange edge]

Yeah its not immediately clear but its kind of the other way around

We do know the blue line is indeed n

You asked the question in reverse

Well to be fair, you almost asked it in reverse

[clear anvil]

How? Lol

That’s an extended version

[clear anvil]

Yeah tbh

[ionic adder]

It works!

I have solved the question using similarity concepts

But thales is also a good idea

[strange edge]

Sorry to burst your bubble but Thales IS similarity

[ionic adder]

ik

[clear anvil]

you haven’t solved the problem though

[ionic adder]

I haven't revised geometry in ages ;-;

[clear anvil]

i saw the other helper was the one who solved the problem

[ionic adder]

no I didn't say that

[ionic adder]

Yes

[strange edge]

Lets try to solve it here again

[ionic adder]

They "helped" him solve the question, but I solved it on my own

[strange edge]

By taking a deep breath

[clear anvil]

can u just solve it and tell me the answer (that isn’t even my question lol wheatinhindi knows)

if it’s 45 then i guess that thing works

if it’s not then hmm

[ionic adder]

It's 45

[clear anvil]

proof?

[ionic adder]

That segment area comes out to be 6 right?

[clear anvil]

don’t use the extending method

nah don’t use the extending method

use a new technique

something of your own

[ionic adder]

wait then, I need to reattempt it

[clear anvil]

go ahead

if u have something new then share yeah

[ionic adder]

Man I couldn't get any ideas except similarity

I could apply similarity easily using AA extending and making 3 similar triangles

And comparing the ratio of areas

I call the area of the smallest triangle which I assume having equal side length x = a

And area of the triangle having base side length 2x = b

And area of the triangle having base length 3x = c

∆ having area 'a' is related to ∆ having area 'b' as b = 4a

And c will be related to a as, c = 9a

As area is proposed to the square if side length

Then I can rewrite the area of ∆ = C = 10cm² + 4a

C is 9a as I stated above

9a = 10 + 4a

5a = 10
a = 2cm²

So the missing area will be 4a - a which is 6cm²

Now when I add everything, 6+6+10+10+13 = 45cm²

[elder girder]

can i have help in help 13

[dark sparrow]

radians vs degrees

,w sin(90 rad)

[somber coyote]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by ann_dec

[dark sparrow]

^

@solar yoke does this answer your unspoken question of "what is going on there and why am i getting two different values"?

[solar yoke]

lmao

yes

absolutely

finally made it work

thanks to ann

well wait

when i make it 5 sided, this happens

i want it to be symmetrical

[dark sparrow]

what's "it"

and wdym by "symmetrical"

as far as i am concerned this picture has plenty of symmetry

the points are the vertices of a regular pentagon

[solar yoke]

i mean, i want those 3 points on right to be at bottom

rotate the image by -90 degrees

thats what i want

[inner lark]

I couldn't do geo if my life depended on it

[dark sparrow]

how is this image being generated rn

[solar yoke]

do u know js?

[dark sparrow]

i know enough of other programming languages to have a general idea of what your javascript code is doing

[solar yoke]

const angle = 360 / side;

for(let i = 1; i <= side; i++) {
    console.log(Math.sin(i * angle / rad));
    const o = Math.sin(i * angle / rad) * radius;
    const a = Math.cos(i * angle / rad) * radius;

    const new_point = document.createElement("div");

    new_point.className = "point";
    new_point.style.top = origin[1] + o + "px";
    new_point.style.left = origin[0] + a + "px";

    container.appendChild(new_point);
}

[dark sparrow]

so as i understand it, you want your polygon to be oriented in such a way that makes it always have a vertex at 6 o'clock regardless of side count?

[solar yoke]

yea

or vice verse at 12o'clock

[dark sparrow]

make up your mind, do you want one at 12 o'clock or one at 6 o'clock

you cannot have both for odd side counts

[solar yoke]

12

i have to rotate the shape by 90 degrees somehow

[dark sparrow]

anyway right now you are plotting the points (cos(θ), sin(θ))
you need to do them as (sin(θ), cos(θ))

[solar yoke]

or something like that

[dark sparrow]

not formally a rotation by 90° but it will make the picture you want

[solar yoke]

hmm

how can i do this

[dark sparrow]

o and a are your horizontal and vertical offsets

i am telling you to swap the sin and cos functions

[solar yoke]

vertex looking at 6o clock

[dark sparrow]

huh. i guess the y axis runs downward on this thing.

[solar yoke]

yea

[dark sparrow]

put a minus sign on the vertical offset.

i.e. a = -cos(...)

[solar yoke]

ur so smart

[real bronze]

I also have a polygon question lol. Does anyone know what algorithm I should use to sort a set of vertices in a polygon so they are in counter-clockwise order? I’m making a map editor for my game, and I am using the ear clipping algorithm to turn polygons into triangles that the graphics card can draw. I have the ear clipping algorithm working, but I’d like to be able to pass in a list of vertices, that each have two connections to other vertices, and have the program auto sort them into counter-clockwise order. The polygons can be concave.

Chatgpt suggested the Graham Scan algorithm, does that sound right?

[solar yoke]

last time i asked chatgpt a 3rd grader question it said that we need 8000 chairs for 84 guests

[real bronze]

lol

[lime dune]

!nogpt

[lime crown]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[near otter]

guys is it possible to get a relation between 2 angles in different planes ? i dont think it is

[quaint sequoia]

Hey @lime dune u here?

I need help with something 😃

[lime dune]

busy rn, I can help later tonight

feel free to dm me your question

@quaint sequoia ^

[quaint sequoia]

When are you gunna be free?

[lime dune]

might not be until very late 😭 just send your question by dm so I can have a look when I get a chance

[quaint sequoia]

Alright :c

[swift light]

how is this even possible

[trail tendon]

trig identities

2/(sec^2(x)) + (tan^2(x))/(sec^2(x)) - 1
= 2cos^2(x) + sin^2(x) - 1.

We see the sin^2(x) - 1, which is -(1-sin^2(x))
Then, using the fact that cos^2(x) + sin^2(x) = 1, cos^2(x) = 1 - sin^2(x)
replace the (sin^2(x)-1) with -cos^2(x) in the expression, we get...
2cos^2(x) - cos^2(x) = cos^2(x)

Thus, with trig identities, the expression simplifies to cos^2(x)

it looks pretty confusing on discord so if you have questions just ask lol

also i didn't do every single step

[swift light]

@trail tendon sorry for the late response but could u possible do the steps on notepad then send a ss of that?

[trail tendon]

sure i can try

[swift light]

like i kind of understand but it would be good to visualize it

[trail tendon]

👍

sorry if my hand writing and the picture 🫠

🤣

[swift light]

nah you good, thank you

[clear anvil]

bro you keep repeating the same solution that isn’t yours

i know that too

i read it too

smh

[swift light]

whered u get the cos^2(x) that u cancelled out on the 3rd row?

[trail tendon]

it used to be 1/sec^2x

i substitued cos^2(x)

like tan^2(x)/sec^2(x) = tan^2(x) * 1/sec^2(x)

[swift light]

but theres 2cos^2(x) to the left of sin^2(x)/cos^2(x)

oh wait i see

[trail tendon]

yea

i was plugging in multiple things at once lol

[swift light]

i got it now

[trail tendon]

basically changed all the 1/sec^2(x) to cos^2(x), and changed tan^2(x) to sin^2(x)/cos^2(x)

[trail tendon]

👍

[zealous quarry]

Do I need to know that segments AD and BC are parallels for me to be able to demonstrate it?

[dark sparrow]

yes, there isn't enough info as is

alternatively you need to know AB and CD are the same length

[vagrant sinew]

can anyone help me figure this out? i'm confused, because i found the area of the sphere, and then halved it, but the answer was wrong?

[dark sparrow]

that gives you the area of the curved surface

you need to add the underside as well

ie the circle along which the sphere was sliced in half

[ionic adder]

you need to work on the base area too

[dark sparrow]

is that not what i said lmao

[ionic adder]

tried to simplify it (idk why I did that)

[dark sparrow]

@vagrant sinew still there?

[vagrant sinew]

Yes sorry!! My time it's super late

I just did another question like that and I got it right!! Thanks soo much @ionic adder @dark sparrow ❤️

[ionic adder]

np

[urban swift]

yall i need help on getting q1 and m2

nvm i got it

[high rampart]

Actually you wouldn't really need to know that because you could use the Angle-Side-Angle shortcut to prove them congruent because you have two pairs of corresponding angles and one corresponding side because of the reflexive property I believe, but correct me if I'm wrong

[trail tendon]

i may not know what im talking about but i think ASA only works if the sides are the same length, and in this case they are parallel but not necessarily the same length?

you would know they are the same length if AD and BC were parallel

[high rampart]

But the middle line is a reflexive line so it is automatically the same length on both triangles

[trail tendon]

the middle line is yes, but the top/bottom lines aren't

[high rampart]

but doesn't that mean that ASA would work?

[trail tendon]

you only know that 1 angle and 1 side are the same

[high rampart]

ah, but we know that 2 angles aare the same, look back at the drawing, there is one pair of congruent angles on each side of the middle line

[trail tendon]

wait im dumb i thought you were saying SAS 💀

umm

ah

but you don't know the angles are the same

because the lines AD and BC would have to be parallel for the angles to be the same

imagine CD extended so that AD was nearly horizontal, then the angles aren't necesarily the same anymore

[high rampart]

no because we can see that there are two pairs of angle congruence marks, so that automatically implies that AD || BC

[trail tendon]

those two lines mean parallel, not congruent

im pretty sure

[high rampart]

Correct

[trail tendon]

where are the angle congruence marks/

[trail tendon]

those are just angles

w don't know if they congruent

there would be a line in the middle of the angle if they were congruent

[high rampart]

I don't think so because then all of the other angles would also have those marks, no

[trail tendon]

we don't know the angles are congruent

in fact

we're trying to prove that they are lol

[dark sparrow]

hang on

i remember seeing this exact problem before

can i see the original IN FULL again please

[trail tendon]

thats all we got lol

[high rampart]

By the way, what grade are y'all in

[trail tendon]

10-11, not sure 😔

[high rampart]

oh, ok

anyways, back to the problem, if we don't know anything except for the parallel pair of lines and the middle line, then how do we really rpove something

[trail tendon]

we can't 🤣

i mean

i could always be wrong

but from what i understand rn

i don't think we can prove the angles are the same

or prove much of anything

[high rampart]

but we can still show something, because of the middle line we can prove that at least on pair of angles are congruent to each other

one not on

nvm, that won't get us anywhere, we'd have to know id AD and BC are either congruent or parallel

so I guess we just infer that those are congruence marks on the angles

[dark sparrow]

i'm doing my master's.

[dark sparrow]

i said before that this is NEI and i will maintain that this is NEI

[high rampart]

we've also concluded that

[high rampart]

I am currently in 8th grade

[solar yoke]

what is a NEI

[dark sparrow]

NEI = Not Enough Information

[solar yoke]

mm

[zealous quarry]

I mean, yes, but the problem is that because AD and BC arent specified as parallel to one and other, we cant really know that the bigger angles are the same

I thought abt it, but i sayed in my mind it was impossible the book had a mistake

[zealous quarry]

I draw those, lol

[high rampart]

are they marks of congruence?

[zealous quarry]

Like i know angle BCA is congruent to ACD, because its the secant cutting the parallel segments DC and AB, bur i just wanted to make shure that just in case AF And BC are parallel, you cant prove that those triangles are congruent

[zealous quarry]

Nope, i would give you a picture of the book, but its in spanish :p.

[high rampart]

that's fine

I know a decent amount of spanish

[zealous quarry]

I dont have the book on me, ill tag u later

[gentle haven]

Is it given that those angles are congruent?

[trail tendon]

there aren't congruence marks on the angles. if there were, there would be a dash in the middle of the angle. I think the problem wants us to assume that AD is parallel to BC, but it doesn't state it and we don't know it, so the problem is technically not possible. Although, it seems like they meant for us to assume that AD is BC if we wanted to do the problem anyway. If thats the case, then we could use SAS similarity or probably prove it in a few different ways ig

[gentle haven]

I mean different places will use different ways to show things are congruent

[trail tendon]

i don't see any sign of congruence

[gentle haven]

At my school they use dash and no dash interchangeably

[trail tendon]

no dash usually means that they aren't necesarily congruent unless otherwise stated lol

at least im pretty sure

[gentle haven]

Oh wait I just realized

For no dash they will put multiple arc things for different groups of congruent angles

[trail tendon]

oh yeah

[gentle haven]

In this they're all the same

[trail tendon]

thats another sign for angle congruence

[gentle haven]

So you're right

[trail tendon]

yea

so we either have to assume the length of DC = AB or AD is parallel to BC

in order to solve it

[trail tendon]

actually if one of those is true, the other is true im pretty sure, so if we assume one we technically assume both is true even if we only use one lol

[forest blade]

How come this becomes 2cos^2a-1?

Wouldn't the cos^2As cancel each other out or are we factoring out a negative before so that 1 becomes -1 and the cos^2A becomes a positive

Oh wait, is the minus sign before the parentheses being distributed?

[trail tendon]

yes

cos^2A - (1-cos^2A) = cos^2A - 1 + cos^2A = 2 cos^2A - 1

[forest blade]

Idk why my brain just skipped the fact that it needs to distribute the -

Thanks!

[trail tendon]

👍

[trail tendon]

happens lol

[shadow flare]

someone explain this

please

[past geyser]

this is the unit circle

on the x, y plane

it's a circle with equation x^2 + y^2 = 1 (a circle with radius 1)

it's used to compute trigonometric ratios

what specifically about it do you want explained

[shadow flare]

how do i use it

[restive portal]

https://youtu.be/Rbx2OlAuQ-0?feature=shared

[shadow flare]

damn

[restive portal]

Ist giganerdy

Im sorry

[shadow flare]

how am i supposed to memorize all that

how do i use it tho

[restive portal]

Wanna hit em with the taylor(mclaurian) expansion of the trig functions? @past geyser

[past geyser]

what's the point of that

[restive portal]

Idk i‘d like to know

[past geyser]

do you know yourself?

[restive portal]

Not rly

[past geyser]

do you want me to explain?

[restive portal]

Y pls

[past geyser]

i actually haven't learned taylor series yet

but the thing is

just think about it like this

[shadow flare]

whats taylor series

[restive portal]

Nothing

[past geyser]

you are expressing trigonometric functions in terms of an infinite polynomial

[restive portal]

Ahhh okay interestig approach

[past geyser]

as more and more terms are added to the polynomial, it approaches the value of the trig function (sinx cosx)

I usually don't luike 3b1b for learning math, but his video on taylor series is just perfect

his animations really help visualize it

i'd recommend you watch his video on taylor series

[restive portal]

Done that multiple times but i think i still did t get it right

Lets move on to rezendo

[shadow flare]

4sinx + 1 = 2 sin x + 2

[restive portal]

Sry for interrupting

[shadow flare]

could u try solving this

[trim cradle]

Does anyone have the best notes to explain trigonometry?

[past geyser]

where are you confused in solving this

[past geyser]

Paul's Online Math Notes

the best

[shadow flare]

how do i find the solutions

using the unit circle

[restive portal]

well you gotta remember the

GAGA
HHAG

[trim cradle]

do you have a link?

[past geyser]

@shadow flare first, find like terms

move them all to one side

[past geyser]

just google it, it's the first result

[shadow flare]

ok

i can do that part

then i get sinx = 1/2

but after that i dont know how to find the solutions

[past geyser]

https://media.discordapp.net/attachments/326138757474680852/1222690156642041887/image.png?ex=661721f1&is=6604acf1&hm=a7729c435c627f256132d1970d1a2ffe5e1cf1a5226ddcc0827ae1a2efe1a3fb&=&format=webp&quality=lossless

you have this right

[shadow flare]

yea

[past geyser]

consider that each point on the unit circle is in the form of (cosx, sinx)

so where is sin(x) = 1/2 on the unit circle?

[shadow flare]

pie/3

[past geyser]

no,

it's in the form (cosx, sinx)

[shadow flare]

o

[past geyser]

so you want the y coordinate to be 1/2

[shadow flare]

pie/6

[past geyser]

correct

now, that's ONE SOLUTION

there are actually infinite solutions to this

how can you generalize the solution?

hint: sin is oscillating

[shadow flare]

pie/6 + 2npie

or something

[past geyser]

yes!!!!!!!

that's the solution, but there is another one

[shadow flare]

5pie/6

[past geyser]

plus?

[shadow flare]

2pien

[past geyser]

YES

[shadow flare]

lets go

[past geyser]

good job bro

i gotta go do a workout now

cya

[shadow flare]

thx

cya

[smoky jetty]

Hiw would yall approach this,

if only i could prove that the yellow point is the center of the semicircle' diameter (in the triangle), then I already got the solution

[urban swift]

i need alil help

ik the angle at circumference is 2 times angle at centre

so that makes it 2x

then ik we can use cyxlic quads

but idk how to fit it with d

[zealous quarry]

6, 7 and 8 use the same figure

[urban swift]

i got it

[haughty prairie]

How do i find the Angle

i put sin^-1 18/21 into a calculator and it just gave me decimals, whaddu i do?

[dark sparrow]

the instructions are cut off

Find the measure of the indicated angle to th-

what does it say there? just above the triangle?

[haughty prairie]

to the nearest degree

[dark sparrow]

well then, you have answered your own question of "what do i do", haven't you?

[ionic adder]

i guess you can apply the sine rule here

[ionic adder]

i guess they were confused on how to solve this

[haughty prairie]

no

I mean like isn’t sin-1 supposed to give me the angle if i know the opposite and hypotenuse? What am i missing?

[ionic adder]

wdym by sin-1?

sin^-1?

[haughty prairie]

ye

[ionic adder]

you can apply the sine rule and get the missing side angles

a/sinA = b/sinB

[haughty prairie]

I’m trying to find the angle though? I gotta find all the sides?

[dark sparrow]

it does give you the angle

@ionic adder OVERCOMPLICATING!!!!!!

[dark sparrow]

you did find the angle

[ionic adder]

sorry..

[dark sparrow]

all that's left is to round it to the nearest degree

[haughty prairie]

Nearest degree means like 30?

[dark sparrow]

also can we see what you got for your decimals

[haughty prairie]

If it’s 33 do i round to 30?

[dark sparrow]

no

nearest degree means nearest 1

not nearest 10

can you show us what you got, at any rate

[haughty prairie]

ok, i ask because this man told me he put in 1/3 and it gave him 30, i did the same and got 33

[dark sparrow]

what man

[haughty prairie]

Youtube guy

[ionic adder]

at least give us some context

[haughty prairie]

1.0

[ionic adder]

oh

[dark sparrow]

video link?

[haughty prairie]

i got 1.0

[dark sparrow]

pre rounding or post rounding??

[haughty prairie]

post,

[dark sparrow]

what did you get before rounding?

[dark sparrow]

you are in radian mode. switch to degree mode!

[haughty prairie]

wa

[lime dune]

also in general, don’t round during intermediate steps

[dark sparrow]

your angle unit is radians

[lime dune]

hit the “MODE” button

[dark sparrow]

but you want degrees for this problem

[lime dune]

change “radian” to “degree”

[haughty prairie]

58.99

ok, thanks

[ionic adder]

for context 1 radian = 180/π degrees

[haughty prairie]

i retire

[dark sparrow]

59

[haughty prairie]

yep, thanks

[dark sparrow]

you need to round to the nearest whole degree still

[ionic adder]

That's 59 after rounding to the nearest integer

[haughty prairie]

i hate calculators

[dark sparrow]

you don't need the sine rule for a right triangle btw

[ionic adder]

didn't see the 90°, thanks for pointing out

but i still got the ans

nvm

[dark sparrow]

why don't you hate paper? or pens? or the concept of writing?

[plush badge]

Can someone please help me with this geometry assignment it would mean the wolrd to me

Its not that hard but to me it is and no apps are working

[ionic adder]

!status

[lime crown]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[plush badge]

Im on the start

[ionic adder]

I won't tell you the answer

[plush badge]

Please

[ionic adder]

but i can help to explain how to do questions

[plush badge]

Its the End of the marking period and i just need this done

[ionic adder]

no i still won't

@plush badge

[haughty prairie]

cause paper has 2 modes, hotdog and hamburger

[ionic adder]

tell me if you're able to understand this

[dark sparrow]

!noans

[lime crown]

The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.

[haughty prairie]

Ok wait, if it’s asking which segment is adjacent to the angle, do you just avoid the hypotenuse? Or are you meant to choose the hypotenuse

[ionic adder]

Hypotenuse is the longest side which we identify as the side opposite to 90° angle in this case

[haughty prairie]

Right, but like Q is the Angle, wouldn’t qn and qh both be adjacent to the angle?

[ionic adder]

hence that's why we only consider qh as adjacent

only to avoid confusion