geometry-and-trigonometry

[spring lion]

Density=Area/Mass?

[opal raptor]

Paperweight of $400g$ with density of $\frac{1.6g}{1cm^3}\$ Paperweight has base area of $120cm^2\$ Height is unknown value.

[somber coyote]

WanderingFurr

[opal raptor]

Now, this doesn’t seem to bad looking at it now.

[spring lion]

Yeah.

So

What now... 🤔

[opal raptor]

If we’re trying to find height, and we have the base area, we need to find the cubic area, yes?

[spring lion]

Yeah.

Umm

120*x=

Not sure actually.

[opal raptor]

Given that the paperweight is $400g$ and the density is $\frac{1.6g}{1cm^3}$, is there a way to find the volume from this?

[somber coyote]

WanderingFurr

[opal raptor]

whoopsies

[spring lion]

Let me think

1/3bh right?

But this has mass

[opal raptor]

Yeah, we’re using mass here

[spring lion]

So I don't think we use the formula here.

Ok

[opal raptor]

$\frac{1.6}{x}=400$..?\ \I’m not entirely sure myself tbh but this seems most logical.

[spring lion]

Ohh

1.6=400x?

[somber coyote]

WanderingFurr

[spring lion]

Right?

[opal raptor]

That..

I mean mathematically its right

But that sounds wrong in the context of this question

[spring lion]

I see.

[opal raptor]

hmm..

1 cubic centimetre per 1.6g with 400g weight..

Why doesn’t it work out in my head..

[spring lion]

Our base area is 120

[opal raptor]

Let’s focus on volume for now, because we need two values to solve for a third.

We can’t get volume from just one value

[spring lion]

Okay.

[opal raptor]

oh of course

i needed to flip the fraction in the beginning

[spring lion]

I'm genuinely lost here 😭

[opal raptor]

It’s not $\frac{1.6g}{1cm^3}$, as that would imply that the $cm^3$ is what we have the most information for.

[somber coyote]

WanderingFurr

[spring lion]

OHHHH

AREA/MASSSSS

1/1.6

[opal raptor]

It’s $\frac{1cm^3}{1.6g}$

It just clicked.

[spring lion]

Yepppp

I instantly realized it when you said that!

[opal raptor]

it’s not even that, bcus for it to work out mathematically, it’s..

THERE WE GOOO

[orchid rampart]

Mm.. density = volume/mass

[spring lion]

Huhhh

[orchid rampart]

Nah

[opal raptor]

yes i do wish i remembered that

[spring lion]

Why is it multiplied here?

[orchid rampart]

Volume = mass * density

[opal raptor]

ah yep

mb

[orchid rampart]

This was correct

[opal raptor]

god its 10pm

when the hell did it get so late

[spring lion]

😭

[opal raptor]

Yeah i figured i was on the right track

[shut thorn]

right now?

😭

[opal raptor]

Just couldn’t quite put the final piece together

[orchid rampart]

So

[orchid rampart]

@spring lion find volume using this

[spring lion]

Mass*density got it

[orchid rampart]

Did you have dinner?

[spring lion]

400*1.6? That's mass times density

[opal raptor]

Uh yeah

[spring lion]

Right?

[orchid rampart]

Yes

[spring lion]

So it's 640

cm³

Ok

We got the volume!

[orchid rampart]

Do you live any region near japan?

[somber coyote]

WanderingFurr

[opal raptor]

Australia

[orchid rampart]

Good

[spring lion]

I knew it heh

[spring lion]

Now what?

[opal raptor]

Well, what info do we have now?

[spring lion]

Volume is 640 cm³ and area is 120 cm².

So...to find the height...

[shut thorn]

and the volume of the shapew

[opal raptor]

$v=\frac{1}{3}\times b \times h$ (Try filling in what you know now!)

[spring lion]

OHHHHH

[somber coyote]

WanderingFurr

[spring lion]

640=1/3*120*h?

[opal raptor]

$640=\frac{1}{3}\times 120 \times h$ (What now?)

[somber coyote]

WanderingFurr

[spring lion]

Let's see

1/3*120=40

640=40h

16?

[opal raptor]

Double check your answer by putting it in to the original equation

[spring lion]

Ok!

[opal raptor]

$\frac{1}{3} \times 120 \times 16 = 640$?

[somber coyote]

WanderingFurr

[spring lion]

.

1/3*120=40

40*16=640.

Correct!

[opal raptor]

Good job!

Pray to god you don’t get an error.

Again.

[spring lion]

NOW LET'S PRAY THE SITE DOESN'T CRASH AGAIN 😭🙏

[spring lion]

LMFAOOOO

HOW DID WE THINK OF THE SAME THING??

It didn't crash. But it's false 😭

[opal raptor]

Great minds think alike

[spring lion]

Not 16??

[opal raptor]

But fools rarely differ

And I have a suspicion I know why

[spring lion]

I'm so disappointed

😭😭😭

[opal raptor]

Density..?

$400 \times \frac{1}{1.6} =250 \neq 640$

bruh what

Brb

[spring lion]

✍️🔥

[spring lion]

Okay

[somber coyote]

WanderingFurr

[spring lion]

Huh?

[opal raptor]

Weight times density equals volume

density wasn’t 1.6 it was 1/1.6

(i think)

[spring lion]

🤦‍♂️

[opal raptor]

yep..

[spring lion]

Wallahi we are not crossing into heaven

[opal raptor]

LOL

made in heaven nah we made in sleep deprivation

[spring lion]

Ong

[shut thorn]

minesweeper.

[opal raptor]

alright, hit me with one more and i’ll go to bed after

-# i pray this doesn’t fry my brain istg

[shut thorn]

ill hlep too since im here i guess

[opal raptor]

xxx
x7x
xxx

:)

[shut thorn]

make that a sqrt(7)

[opal raptor]

what no we don’t need irrational mines

[shut thorn]

heres uh

some context

[shut thorn]

#chill message

[opal raptor]

eugh

[opal raptor]

uh.. alright

i think i can do this

whadda we got

[spring lion]

We got this bro

[shut thorn]

let the amount of liters which contain 25g of salt be x

now if each liter contains 2.1g

try to make an equation

[spring lion]

Let me see.

[shut thorn]

||hint: what would the amount of salt in x liters be?||

[opal raptor]

$x=\frac{25}{2.1}\approx11.9$

[spring lion]

Ummm

[opal raptor]

this feels too easy.

why.

[shut thorn]

because you goatta round your answer to the nearest tenth

does anyone even remember how to round sh

[spring lion]

1 liter:2.1

[shut thorn]

then x liters?

[spring lion]

25 g!

[somber coyote]

WanderingFurr

[shut thorn]

and since each liter contains 2.1

[spring lion]

1/2.1=x/25?

[opal raptor]

actually rounding is easy as hell

[orchid rampart]

Nah wait ig i had brain fart

[spring lion]

Is this right?

[shut thorn]

yeah i dont remember what the tenth and ones thingy mean

[shut thorn]

yes

[orchid rampart]

Density =mass/volume

[shut thorn]

now isolate x

make it lonely

[opal raptor]

Tenth = 0.1
Hundredth = 0.01 etc etc
Ones = 1

[spring lion]

x=25/2.1?

[spring lion]

Yeah

[orchid rampart]

This was wrong

[shut thorn]

congrats now your x is lonely

[opal raptor]

Yeah we got that q wrong..

[spring lion]

I'm sorry x 😔

11.9?

[shut thorn]

now solve for its need

now round it up

to the nearest tenth

[opal raptor]

it is

[opal raptor]

11.9 is the nearest tenth

ok i can fit one more q in without dying

[spring lion]

Lmaoooo 😭 nahh go sleep or something bro

[opal raptor]

nah ill be fine trust

[shut thorn]

you can just like

[opal raptor]

no

[shut thorn]

theres no guarantee if you would doze off

[opal raptor]

i must math

[spring lion]

🗣️🗣️🗣️

[shut thorn]

get math'd

😭

[opal raptor]

green tick of dopamine

[spring lion]

EXACTLY

LMFAOOO

[opal raptor]

i lied.

good night

[spring lion]

YOU DESCRIBED IT PERFECTLY WELL

[spring lion]

😭😭😭

[spring lion]

Good night bro

[shut thorn]

ok so its weigh is 1kg

and its density is 1.5g/cm^3

find its volume from it

hint: ||density = M/V||

[spring lion]

Let me see.

Sphere volume right?

[shut thorn]

ye

[spring lion]

4/3πr³?

[shut thorn]

theyre balls

[shut thorn]

yes

[spring lion]

Ok.

Mass/volume?

No wait.

[shut thorn]

thats density

[spring lion]

Volume/Mass.

Or?

[shut thorn]

youre trying to find the volume

so try to isolate V from the formula

[spring lion]

Oh.

Let me think for a sec.

Sooo

Volume=

Density*Mass?

Rip

[shut thorn]

ok like

wait

lemme just.

[spring lion]

👍

[shut thorn]

take density = x. Volume = y and mass = M
so now it becomes x = M/y

if i multiply by y on both sides

it becomes xy = M

now divide by x

[spring lion]

XY=M

y=m/x?

Soo

[spring lion]

Density/Mass?

[shut thorn]

so volume = M / density

[shut thorn]

M is mass

[spring lion]

Damn I'm dumb

[shut thorn]

nah np

so now. Find volume

[spring lion]

Ok ok

[shut thorn]

ill like eat

[spring lion]

Alright.

Density=1/1.5

Right?

[shut thorn]

no no

mass is given in kg

convert it to grams

[spring lion]

Ohh

[shut thorn]

and that density should be volume

[spring lion]

No like

[shut thorn]

?

[spring lion]

1.5 grams per cubic centimeter

[shut thorn]

thats the density

[spring lion]

Yeah

[shut thorn]

and we are trying to find the volume

[spring lion]

.

We need the density for it

[shut thorn]

ye. Density = 1.5g/cm^3

[shut thorn]

you just said it br 😭

[spring lion]

😭

So is density 1/1.5 then?

[shut thorn]

1000*/1.5

because the mass is in kg

not g

[spring lion]

Ok

1000/1.5

,calc 1000/1.5

[somber coyote]

Result:

666.66666666667

[spring lion]

Zamn

[shut thorn]

now put uhh

the volume of the sphere

equal to this devil's number type sh

fu

i just bit my toung

[spring lion]

Wait we gotta add mass too lol

[shut thorn]

😭

[spring lion]

LMFAOOOO

😭😭😭😭😭😭

SORRY

TO HEAR THAT

[shut thorn]

??

[spring lion]

I don't mean add

I meant

In the formula

[shut thorn]

i remember once i like. Started to chew on a piece of paper

[spring lion]

Mass/666.66

[shut thorn]

we alr know density

and mass was given to be 1000g

[spring lion]

Ohh

[shut thorn]

so now

[spring lion]

Okay

Soo

[shut thorn]

we have to find the radius of the sphere

[spring lion]

,calc 1000/666.666

[somber coyote]

Result:

1.5000015000015

[shut thorn]

what is the volume of a sphere?

[spring lion]

1.5?

4/3πr³

=

[spring lion]

?

[shut thorn]

and what was the volume we calculated?

[shut thorn]

no

[shut thorn]

didnt we calculate this as the volume?

[spring lion]

Right right

[shut thorn]

so now put those two equal

for simplicity

choose the fraction

1000/1.5

[spring lion]

Riiiight

Let me get my pen and paper

1000/1.5=

4/3*22/7r³?

[shut thorn]

ye

now isolate for r

[spring lion]

Now that's a part I struggle with...

[shut thorn]

take pi = 22/7 because it isnt given a value in the question

[spring lion]

Ok ok

[shut thorn]

first like

solve the part (4/3)(22/7)r^3

what does it become if i simplify it

[spring lion]

88/21r³?

[shut thorn]

ok now

[spring lion]

Divide both sides by

88/21?

[shut thorn]

by its reciprocal

so that 88/21 becomes 1

[spring lion]

Ohh

[shut thorn]

????

[silent plank]

leave pi as pi
and round at the very end when using the calc to get the decimal approximation

[shut thorn]

oh alr

[spring lion]

What's up 😭

[shut thorn]

#geometry-and-trigonometry message

why did i even do that

anyways

[spring lion]

Bruhh

Okay

[shut thorn]

multiply (4/3)pi by its reciprocal

on both sides

[spring lion]

Well

Ok

1000/1.5*3/4?

[shut thorn]

3/4pi

[spring lion]

Right

,calc 1000/1.5*3/4

[somber coyote]

Result:

500

[spring lion]

500π.

What now?

[shut thorn]

500pi = r^3

[spring lion]

Let me see

,calc 500*pi

[somber coyote]

Result:

1570.7963267949

[spring lion]

😭 what

Right

1570

So the radius is

1570=r³

Did we make a mistake somewhere 💀

[shut thorn]

for sure

[spring lion]

My head HURTS MAN

[shut thorn]

a shell weighs 10g.

the actual weight is 1kg - 10g 😭

[spring lion]

990????

Lord smite us both

[shut thorn]

this is exactly why i dont trust myself even when doing basic addition like 34+88

[shut thorn]

he has already smitten me do you want it to be (smitten)^2? 😭

[spring lion]

😭😭😭

Then I'm smitten⁹

[shut thorn]

so now mass is 990

[spring lion]

Ok

[shut thorn]

density is 1.5

volume is mass / density

ok ill need to like

do it

wait

[spring lion]

Not 1/1.5?

[shut thorn]

density is in g/cm^3 and mass is in kg

the units arent the same

[spring lion]

Right

[shut thorn]

either you convert the density into kg/m^3 or convert mass into g

[spring lion]

So 990/1.5?

[shut thorn]

everyone with a right mine chooses the latter

[spring lion]

=Volume

[shut thorn]

ye

[spring lion]

,calc 990/1.5

[shut thorn]

now volume also = 4/3pir^3

[somber coyote]

Result:

660

[shut thorn]

put those two equal

[spring lion]

660=4/3πr³.

[shut thorn]

ye

[spring lion]

Multiply both sides by 3/4?

[shut thorn]

3/4pi

[spring lion]

Yeahhh right

[shut thorn]

because we need to isolate the r

[spring lion]

Yep yep

[shut thorn]

so it becomes

[spring lion]

,calc 660*3/4

[somber coyote]

Result:

495

[spring lion]

495

Pi

[shut thorn]

495/pi

[spring lion]

/pi?

[shut thorn]

ye because it was 3/4pi

to get rid of the 4pi/3

[spring lion]

Oh

Denominator now got a pi

Ok

[shut thorn]

7*4 is 28 right? 😭

[spring lion]

Yes 😭

I'm back

Bathroom break

[spring lion]

You here?

Lord actually smote bro 😭😭😭 we lost a real one today gentlemen

[orchid rampart]

we doing this?

[spring lion]

Yessir

[shut thorn]

ok mb i was like. Trying to find a music to play

😭

ok so now look

uhh

divide 3465 by 22

[spring lion]

🤨

[shut thorn]

i took pi to be 22/7 btw

[spring lion]

Should we do that?

[shut thorn]

ye

[spring lion]

,calc 3465/22

[somber coyote]

Result:

157.5

[spring lion]

157.5.

[shut thorn]

now take its cube root.

💀

[spring lion]

🗣️🗣️🗣️🗣️🗣️🗣️

😭😭😭😭😭😭

[silent plank]

never take pi as 22/7 unless told to

[spring lion]

5.400

[shut thorn]

then???

3.14???

[silent plank]

use pi on the calculator

[orchid rampart]

let it cook, then we decide if it was wrong ( tbh doesn't matter based on q)

[spring lion]

^

Is there a cube root function on the bot?

[shut thorn]

i mean tbh like. Our country doesnt even allow calculators and we are told the rule that take pi = 22/7 unless told otherwise 😭

im getting mixed signals over here

[spring lion]

Here the questions say what to take pi as.

[silent plank]

that's a case of being told to use 22/7.

[orchid rampart]

when will you say that

[spring lion]

Wdym

[shut thorn]

157.56

[spring lion]

157.5 yeah

[shut thorn]

495/pi = 157.56

[spring lion]

Okay

[silent plank]

,calc cbrt(495/pi)

[somber coyote]

Result:

5.4011359482782

[orchid rampart]

what does the question say to take pi

[spring lion]

Right

[shut thorn]

yeah and rounding it gives 5.4

[silent plank]

pi = pi

[spring lion]

No I meant in my country lol

[orchid rampart]

oh mb then

[spring lion]

Okay!

Radius 5.4?

[shut thorn]

5.4 something sommething

[silent plank]

use $\pi$ for $\pi$ unless told otherwise. \
leave answers in terms of $\pi$ if asked for exact values \
if asked for a decimal approximation, use the value that you obtain from the calculator

[somber coyote]

ραμOmeganato5

[shut thorn]

i forgo tthe units 😭

[spring lion]

Lmfaooo

Grams

Well

It says round to the nearest tenth

[spring lion]

So 5.4?

[silent plank]

yes

[shut thorn]

5.4 cm

[spring lion]

Oh yeah radius

Mb

I'm gonna TAKE A BREAK JESUS CHRIST

Like

I CAN'T FEEL MY HEAD

😭🙏

[shut thorn]

fire

thats real lightheadedness

idk if i spelt that correctly

[spring lion]

Yes

[spring lion]

I'm back y'all after a 3 hour break 🙏

I just need a hint

Currently I'm not sure what to do.

And I definitely don't want to ask to chatgpt lol 💀

[obsidian harness]

check the units

people / km^2 * km^2 = people

$\frac{\text{people}}{\text{km}^2} \cdot \text{km}^2 = \text{people}$

[somber coyote]

south

[spring lion]

Umm

20000/1?

[obsidian harness]

no

[spring lion]

People is 20000

[obsidian harness]

yeah

okay, so where can you sub in the 480?

[spring lion]

And it's 480 for one km².

[spring lion]

Well that's the density.

[obsidian harness]

I know

[spring lion]

Soooo

[obsidian harness]

so $\frac{\text{people}}{\text{km}^2} \cdot \text{km}^2 = 20000$

[somber coyote]

south

[spring lion]

Okay

[obsidian harness]

and where can you sub in the 480 now?

[spring lion]

Let me see

People?

Since it's 480 people per km².

[obsidian harness]

we subbed in 20000 people already, so no

[obsidian harness]

yes, this

[spring lion]

Idk why we put people again there then?

[obsidian harness]

we can use this equation to find the number of km^2

[spring lion]

Oh

So 20000/km²*km²=20000?

[obsidian harness]

yes, well that's always true though

[spring lion]

Obviously 😭

That's why I'm a little confuseddddd

[obsidian harness]

you can sub this in directly!

(people / km^2)

[spring lion]

480/1?

[obsidian harness]

$480 \cdot \text{km}^2 = 20000$

[somber coyote]

south

[spring lion]

I mean km² is just 1

Oh

OHHH we're looking for

Wow wait

I need to understand the logic rq

Can you explain the thought process?

Thank you in advance

,calc 20000/480

[somber coyote]

Result:

41.666666666667

[obsidian harness]

okay, so the units on the left and right sides need to be the exact same

[spring lion]

Right

[obsidian harness]

hopefully you can see that this is the way to get the same units on both sides (people)

so actually what we did was a bit of a shortcut

[spring lion]

People on both sides yeah

[spring lion]

Okay

[obsidian harness]

properly, it's $(480 \frac{\text{people}}{\text{km}^2}) \cdot (x \text{km}^2) = 20000 \text{people}$

[somber coyote]

south

[spring lion]

Yeahhhh I completely understand thissss!

[obsidian harness]

$(480 \frac{\cancel{\text{people}}}{\cancel{\text{km}^2}}) \cdot (x \cancel{\text{km}^2}) = 20000 \cancel{\text{people}}$

basically all the people and km^2 stuff cancels on both sides

leaving 480 * x = 20000

[somber coyote]

south

[spring lion]

Yeahh

[spring lion]

Wait can you give me a small example of just this?

Just so I can see I understood it

[obsidian harness]

https://www.youtube.com/watch?v=Lyr4h9C0JpE

[spring lion]

Let me watch 👍

Ty

[obsidian harness]

that's the name of the topic, dimensional analysis

you need to get much better at algebra to fully fully understand it

[obsidian harness]

but okay, here's one example you might be familiar with

speed, distance, time - what are the units?
speed = m / s
distance = m
time = s

we know that m/s * s = m

so we can conclude that speed * time = distance

[spring lion]

Damn I already finished algebra 1 and 2 though

[obsidian harness]

you seem to be struggling with basic stuff though

[spring lion]

Let me censor something wait

[obsidian harness]

okay, so all these problems you are doing are related to measurements, so lengths, volumes, and areas of shapes

[obsidian harness]

yeah so I guess you just don't know this topic

[spring lion]

I'm fairly good no?

[spring lion]

Damn it 😭

[obsidian harness]

it's weird cause you're not following a standard teaching order

which is why it's throwing me off

[spring lion]

Oh

My bad

[obsidian harness]

okay, I'll keep that in mind, that you know alg 1 and 2 when I next see you

[spring lion]

Yeah 👍

So let me read

[obsidian harness]

it's just a statistically unlikely thing that someone has done those but not covered geometry

[spring lion]

.

[spring lion]

Well I always like to put geometry last

Since I struggle with it the most.

[spring lion]

Ohhhh

Alright I get it noww

[spring lion]

Is this right?

[obsidian harness]

also, can I ask one more thing about what you're learning?

[obsidian harness]

yeah so pi r^2 = 41.6666..., ezpz

[spring lion]

Btw now I feel really bad about not having known this 😭

I finished algebra but struggled with this like bruhhh

[obsidian harness]

have you done any physics or chemistry yet?

[spring lion]

I've done 9-10th grade chemistry

[spring lion]

I'm learning for the Turkish university exam.

[obsidian harness]

oh yeah then the example in the video I sent had $Q = mc \Delta T$

[somber coyote]

south

[obsidian harness]

enthalpy basically

[spring lion]

Right

[obsidian harness]

it's a similar pattern where the units are:

J = kg * J/(kg * °K) * (°K)

[obsidian harness]

to do well in physics and chemistry, these two skills really help

1. dimensional analysis, what we just covered
2. working with proportionalities, so at least direct and inverse proportion

for example, $\text{surface area} = 4 \pi r^2$ means $\text{S.A} \propto r^2$

[somber coyote]

south

[obsidian harness]

if you multiply the radius by 2, the S.A. gets multiplied by 2^2 = 4

[spring lion]

Oh yeah

Surface volume however

Would multiplied by 8

[obsidian harness]

great!

yeah exactly, 2^3 = 8

[spring lion]

They did reach that

Earlier in geometry.

[obsidian harness]

okay so you do know a bit of geometry after all

[spring lion]

😭

This is bare minimum but tbh I've gone a long way.

[obsidian harness]

mhm!

[spring lion]

Like months ago I couldn't do 6th grade geometry deadass

[obsidian harness]

wow

[spring lion]

Now I'm finishing hs geometry

[spring lion]

Not kidding 😭😭😭😭😭😭😭

I always thought I could never understand geometry

Here I am

So we found the (x)km² is 41.666

πr²=41.66

[spring lion]

Wait is this right?

Hi

[spring lion]

it was xkm²

[obsidian harness]

yes

[spring lion]

Ok

Can we calculate this using the bot now?

,calc 41.66/pi

[somber coyote]

Result:

13.260789858417

[spring lion]

🤨

[obsidian harness]

r^2 = 41.66/pi, yes

[spring lion]

,calc sqrt 13.260789858417

[somber coyote]

The following error occured while calculating:
Error: Unexpected type of argument in function multiplyScalar (expected: number or Complex or BigNumber or bigint or Fraction or Unit or string or boolean, actual: function, index: 0)

[spring lion]

Rip

We need radius not radius squared tho...

[spring lion]

What do we do?

[obsidian harness]

okay I really can't believe you completed alg 2 without knowing this

square root both sides

[spring lion]

😭

[spring lion]

But bruh

[obsidian harness]

ah

[spring lion]

I tried

[obsidian harness]

,w sqrt(13.260789)

[somber coyote]

Results provided by WolframAlpha

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

Requested by sooouth.

[obsidian harness]

,calc sqrt(13.260789)

[somber coyote]

Result:

3.641536626206

[spring lion]

Okay

So I did know to square root

Lol

I felt really bad

I hate disappointing people that try to teach me something

[spring lion]

Ok

[spring lion]

Thanks it was 3.64 👍

[spring lion]

Really hits like a missile

😭

Last question before I finish hs geometry

So pyramid volume

1/3bh.

1/3*100*6?

Except um. How would I use that info?

Ohhhh wait.

Volume Mass Density formula?

[orchid rampart]

yes

[spring lion]

Lol how did I think of that 😭

Vol=200

Mass needs to be 300.

So we need to find density right?

Volume=Mass/Density

200=300*Density?

So density is 200/300?

But that ain't an integer

🤨

[orchid rampart]

do they need integer?

[spring lion]

Let me see.

Well they usually ask

Round it to tenth or hundredth

This question doesn't ask that.

,calc 200/300

[somber coyote]

Result:

0.66666666666667

[spring lion]

0.66666

[orchid rampart]

hm..they say should be atleast 300 g

[spring lion]

This gotta be false 😭🙏

Where did I err?

[orchid rampart]

try multiples of 200 greater than 300

[spring lion]

400

[orchid rampart]

oh nah mb

[orchid rampart]

yeah enter this

0.67

[spring lion]

Okay

[orchid rampart]

fuk wait

200 is volume?

then 300/200

[spring lion]

Dawg.

Density is mass/volume

I just realized

[spring lion]

Lol

1.5

😭🙏

[orchid rampart]

hmm.. now if they need integer then 2

[spring lion]

I don't think they need integer

Do they?

[spring lion]

.

[orchid rampart]

then enter 1.5

[spring lion]

Ok

Alright man thank you

This time I managed to do most of it myself so I'm happy!!

[orchid rampart]

usually tell round off for multiple decimal places

[spring lion]

You can tell there's progress since I actually thought of this LOL

[orchid rampart]

yes

[orchid rampart]

100%

[spring lion]

Alright I'll just eat dinner and rest now man

[orchid rampart]

gn

[spring lion]

5.5 hours of geometry today

[spring lion]

Gnnn

[obsidian harness]

<@&268886789983436800>

scam begone

[fervent stump]

Don't 👋 in all channels please

[wet meteor]

Hope its ok to ask something like this here. Game about construction, Euclidea. On this level i had to do an inscribed square in 7 elementary moves (circles/lines). Why is (my) attempt on right not approved but the one on the left is.

[shut thorn]

i have a feeling that "sinAcosB + sinBcosA" and "tanA - tanB/1+tanAtanB" are identities.

i just cant prove it

hmm

[cunning lion]

usually an identity requires an = sign somewhere

[shut thorn]

no these two have like three questions on them in the book

"using A = 60 and B = 30 (degrees). confirm that sin(A+B) = sinAcosB+cosAsinB"

[cunning lion]

well you only included half the identity in your question

[cunning lion]

you aren't being asked to prove the identity for all angles, only for those specific angles

[shut thorn]

ye but i have a feeling that theyre identities

i just cant prove it yk

[cunning lion]

they are identities

[shut thorn]

fire

[cunning lion]

the proof will probably be in the book somewhere

[shut thorn]

it is not im sure

only simpler identities they said

[void oak]

Can anyone help me with this?:

[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

[edgy phoenix]

@dark sparrow give me an advice. How can I start any math problem in a correct way like the first step

[void oak]

I believe there's a contradiction in the clues given. So, one of them must be false, maybe clue 2 for the rest to be correct.

[opal raptor]

I know you didn’t ask me, but a good first step is to gather what information you have, and what information you’re looking for. Then figure out what processes you may need.

[orchid rampart]

Why do they look like missing children?

[shut thorn]

why does that feel accurate

[orchid rampart]

Why

2 specifically

1st statement :
Lee (a distance) Linh (a) Brad
or
Brad a Linh a Lee

2nd statement
Linh Tiina Trammy
or
Tammy Tiina Linh

Hm..

2 is false if between means no person else is between Tammy and Linh else 1st statement couldn't be true

3 :
Brad Tinna
Tinna Brad

4: Brad is to the side of Tiina where Tammy is
Eg:
Tammy Brad Tiina Linh

Fok this is not maths

Nope somethings wrong

[quiet vigil]

Yo w questions lol

[void oak]

Yes, it is lol..
But I guess the clues are mistakenly written.

[orchid rampart]

at the end if 1st statement was false,
LeeLinhTinnaTammyBrad would be it

[orchid rampart]

indeed

[void oak]

Yeah..

[void oak]

Exactly.. one has to be false..

[edgy phoenix]

It works for easy direct questions but for other problems it feels some information isn't totally coming out like what is actually questions is asking

[distant nacelle]

Guys, I'm having really big problems with geometry. I really want to master it, but I don't know where to start, and because of this, I'm already having problems at university.

[short swift]

I'm going to start learning it on my own soon, if you want I can share you my plan.

It uses some textbooks though

[distant nacelle]

This will be very useful, so i’d be glad if you share with me

[short swift]

Sure! I did some research and found two textbooks that are rated well and cover more than the standards together. The first one is Geometry: Seeing, Doing, Understanding. I personally chose the third edition but the earlier ones are also good. This one has more on proofs and explaining why things are what they are. The second textbook I found was Big Ideas Math: Geometry which basically just covers the standard curriculum incase if the first textbook doesn't contain something. There's also Khan Academy to practice with which is good and you can ask questions about concepts here :)

Also there is this website for worksheets called kutasoftware if you need more practice

[distant nacelle]

Thank you for helping me

[graceful jacinth]

Clue one makes this impossible due to there only being five students.

[sterile beacon]

I'm curious how someone even managed to figure out the equation for a cardioid

$(x^2 + y^2)^2 + 4ax(x^2 + y^2) - 4a^2y^2 = 0$

[somber coyote]

Unchaynd

[sterile beacon]

It's almost like a circle, except the radius changes as it goes around.

It's interesting that it has a polynomial representation

[cunning lion]

it follows from the polar equation

[sterile beacon]

Ah, cool... that is another part of math I still have to learn

This (from Wikipedia) looks like what I was talking about a minute ago about the circle with a changing radius 🤔

the "1-cos(phi)" would represent the change in the radius as the curve goes around the origin... interesting!

[sterile beacon]

I bet you can get all kinds of interesting shapes by setting r(phi) to some function

[distant nacelle]

Guys, what advice could you give me to help me solve geometry problems? I can understand the properties of shapes and things like that, but I have a hard time using them

[wanton furnace]

Be faithfull

[distant nacelle]

Already ☦️

[drifting cipher]

Prove why those properties are true

[spring lion]

Help 🙏

So um.

So x value is

(???/1)

Wait no

That's y

[spring lion]

1/2

Wait wait

Um

√3/1?

Dangit I got it wrong.

It was so easy... 😭

Alright I did it

[spring lion]

Chat

I got 2 right I wanna get the next 2 right as well.

I found 76.82...

But it says obtuse.

Oh wait.

Wait wait

,calc 180-76.82

[somber coyote]

Result:

103.18

[spring lion]

103.18

Let me try that.

WOW LOL IT SLIPPED OFF MY MIND

🙏🙏🙏

Ok I'll ask this instead then, is it 10.83?

So 10.8~

Am I right?

Help is appreciated

[exotic yarrow]

,w 16/sin((180-39-42) deg)*sin(42 deg)

[somber coyote]

Results provided by WolframAlpha

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

Requested by civil_service_pigeon

[exotic yarrow]

good

[spring lion]

Ahhh! Nice! Thank you hah

[exotic yarrow]

[spring lion]

[spring lion]

Trigonometry is pretty fun god damn!

I took an hour break

Now time to continue the grind 💪

[spring lion]

I'm enjoying this a lot lol

I'm gonna ask for help on this one chief.

Nvm I did it I was scared I'd get it wrong though.

Bro I wonder if the rest of precalculus will be as easy as this

I know sure as hell I couldn't move a finger in 11th grade

Now I'm mogging trigonometry

Of course I'm double checking all of my calculations with a calculator though.

Like I know 11²+13² is 290

But what if it isn't? 🤨

Hell I actually got it 280 at first

This shit's dangerous

Chat do I use law of sines for this?

Yes, right?

[fickle raptor]

yep!

[spring lion]

"Do not round during your calculations"

This just saved my life.

Wallahi I was almost gonna round 😭

[spring lion]

Alright

[fickle raptor]

wait no

thats the law of cos

mb sorry 😢

you can law of sin though

with missing angle

[spring lion]

Can you check if it's 106?

(105.70...)

If I can solve these problems correctly I'll be really happy!

[spring lion]

Yeah

[fickle raptor]

yeah thats right 105.70

[spring lion]

You can't law of cos, can you? You only have one side here.

[spring lion]

Alright! Thanks.

This one is law of cos though.

Oh wait

[fickle raptor]

mmh that one is law of sin

[spring lion]

I think this is sin

LOL

[fickle raptor]

yess i saw it come out right as i sent it

[spring lion]

I swear I realized it before seeing this

[spring lion]

YESSSS

[fickle raptor]

yesss!!!

[spring lion]

I shouldn't jump the gun here

It's law of sin

Now let me see

[spring lion]

I might need a little help here 💀

sin30/48=sinx/95?

[fickle raptor]

yep

[spring lion]

It's asking for degree.

Now um

Sin30*95?

So that's 47.5.

48x=47.5

I did it hehe

The key is to realize it's sin or cos law

After that it's pretty easy.

[fickle raptor]

nice! usually thats the hardest part

[spring lion]

I swear I'm getting good at this

Nowww

THIS is law of cos, yes? Come on.

We have 2 sides

1 angle

(for cos)

And a c that's not given

[fickle raptor]

this is defination law of cosin

there are 2 sides and no angles assocaited with either of those 2 known sides. and yeah 1 angle for the missing

[spring lion]

Yuppp

Nowwww

I'll have to use paper for this one

You solve it but don't give me the answer lol

Ty

HOLY MACARONI I JUST REALIZED

250 SQUARED 💀💀💀

This shit ain't done without a calculator

,calc 250^2+360^2

[somber coyote]

Result:

1.921e+5

[spring lion]

💀

I'll need good ol google calculator with this one! 🗣️

[fickle raptor]

i use desmos when im on the computer lol and the phone if i dont have a calculator

[spring lion]

I'm on mobile rn

149226.76306

Did you get this number?

This is the squared version of c.

Wait no

Um

192100-149226.76306

,calc 192100-149226.76306

[somber coyote]

Result:

42873.23694

[spring lion]

,calc sqrt 42873.23694

[somber coyote]

The following error occured while calculating:
Error: Unexpected type of argument in function multiplyScalar (expected: number or Complex or BigNumber or bigint or Fraction or Unit or string or boolean, actual: function, index: 0)

[spring lion]

Shit

[spring lion]

I found 207. Wbu?

[normal bolt]

I got 207.06

[spring lion]

Yeah

[normal bolt]

You got the right answer!

[spring lion]

You gotta round it.

[normal bolt]

[spring lion]

LET'S GOOO

[normal bolt]

aight, 207 it is then

[spring lion]

Yupppp

I'm doing trigonometry problems bro 🥹

Past me would be proud

@next mantle GUSTAVO???

[normal bolt]

this aint trig yet friend..... wait until you get some crazy trig stuff

[spring lion]

Don't burst my bubble man 😭

[normal bolt]

@spring lion try this:

$\sin{(\arctan{(\frac{3}{4})})}$

[fickle raptor]

if you just follow the definitions and identities its actually easier than alot of things. and its like some nice trick book you get

[spring lion]

How do you solve this? I can solve another similar one if I learn how.

Well wait

Tan is

Sin/cos

[normal bolt]

aight, sorry for the edits

that's the final problem

[spring lion]

Lol

Do I go with radians? Or?

[normal bolt]

waiiit

that's not even the final problem

[spring lion]

💀

[somber coyote]

Blob

[normal bolt]

there we go

[spring lion]

Is this some really easy thing that I can't do for some reason...

[normal bolt]

oh yeah, once you know the trick, any problem like this is easy

[spring lion]

I don't remember solving stuff similar to this on Khan academy ngl

[normal bolt]

this is much more advanced, dw

[spring lion]

Why you scaring me like that 😭🙏 I thought I failed miserably

Since I couldn't even move a pencil

[normal bolt]

If I gave you the answer, you might be able to figure out how to solve it

[spring lion]

Hmmm

[normal bolt]

backtrack the steps

[spring lion]

Don't give a man an answer, give the man the logic to solve the question

-Icarus, China, BC 200

(Real quote by me)

[fickle raptor]

you put 3/4 into arctan... so what is tan theta

[spring lion]

Drew ur pfp lol

[spring lion]

36 degrees?

And then we find sin36

0.58

[spring lion]

Right?

Or did I make a mistake...

[fickle raptor]

yeah thats right

just a little rounding error

[spring lion]

Ah

Damn LOL

Huhhh

Although I had to google the values

As I don't know sin36.

[fickle raptor]

roughly sin (pi/6)

1/2 i think

.5 is almost .6

[spring lion]

I see.

[spring lion]

Ok ok

Going back to this...

[fickle raptor]

i wanna say cut it in half but i dont know if you can

no it would make more unknowns

has herons formula been introduced yet?

[spring lion]

Dangit I made a calculation error

[spring lion]

No idk

Ok I have just one last question

Can you help with this bro?

[fickle raptor]

2 side lengths with no corresponding angle... an angle with a missing side length...

[spring lion]

Law of cosines?

Yeah?

Bro they're giving such ridiculous numbers even with calculators I'm like wtf am I doing 😭

[fickle raptor]

open new tab and use desmos not google

[spring lion]

Ok

One sec

I'm making space in my notebook

80 pages and 70 are filled to the brim with math 😭

[fickle raptor]

might be time for a bigger notebook 😄

[spring lion]

Hahaha

I'm gonna get one for sure

Now then...let me see!

I'll write the equation first

Then do the math

On desmos.

Uhhh it says this doesn't support it

[fickle raptor]

delete c^2 =

and it gives just number

[spring lion]

Ah

[fickle raptor]

and it just to be under a sqaure root

[spring lion]

Sorry not used to desmos.

[spring lion]

Wdym