easy, just wanna know if I'm right

[hasty hill]

Is it just 1.03² x 5720?

[lunar pendant]

yeah

then obviously round

the maths ocd wants to tell you to write it 5720 × 1.03² instead lol

looks better

[hasty hill]

So if i do it the other way round does it lose a mark?

[lunar pendant]

na

multiplication can be done like that (for now)

like 5 × 6 is the same as 6 × 5

[hasty hill]

Oh right yh

So that comes out as 6068.348 so £6068,35?

Wait what lol

[lunar pendant]

what's the issue

it's just asked to the nearest penny

[hasty hill]

Wrote the numbers wrong

[hasty hill]

That's rounded right, right

[lunar pendant]

what do you think

is it?

[hasty hill]

Think so

[lunar pendant]

yes you're correct

[hasty hill]

Yay

[lunar pendant]

Well done

[hasty hill]

Could you help me with like arcs and sectors they're a little off for me, there's only 2 small questions but idk how to go around them

[lunar pendant]

ofc mate

send the q

[hasty hill]

Thanks

[lunar pendant]

if this was radians this would be sm easier lol

[lunar pendant]

anyways, what's the equation we use?

[hasty hill]

Arc length = theta over 360 x 2pie r

[lunar pendant]

so what could we do?

[hasty hill]

42 over 360 x 2pie30?

[lunar pendant]

yah

[hasty hill]

Comes out as syntax error

[lunar pendant]

check how uve typed it

[hasty hill]

Would there be a times between the pi and 30

[lunar pendant]

you don't have to if you do 30pi

actually

maybe you do

I'd type it as: (42/360)(2)(pi)(30)

cus I'm a fiend for brackets

[hasty hill]

Brackets are so fun now I can use them and they make sense

Anyways comes out as 7pi or 21.99114858

[lunar pendant]

let's keep with 7pi for now

makes calculations easier

[hasty hill]

Do you do 60+7pi?

[lunar pendant]

didn't even have time to ask another question to get u there

yes you do

Well done

[hasty hill]

How should I round it?? To 81.99 ? Or up to 82

I'll leave as 81.99 more accurate I think

The second one, area = theta over 360 x pi × r². But we have the area so rearranging needed??

[lunar pendant]

yes

you can either

substitute values in

then rearrange and solve

or rearrange first

then substitute values in

[hasty hill]

So we need theta so somethings gotta happen with the 534cm² and the place of theta right? The rest would stay the same

[lunar pendant]

just substitute into the equation and we'll go from there

[hasty hill]

534 = Theta over 360 x pi x 30²

[lunar pendant]

u know the area

[hasty hill]

Oh yh

[lunar pendant]

534=θ/360 × pi × 30²

[hasty hill]

Yeah

[lunar pendant]

I would then do

534=θ/360 × 900pi

can you see how to get θ now?

[hasty hill]

Not really

Theta = 360 x 534 over 900pi

?

[lunar pendant]

yeah that's exactly right

so idm what you mean about 'not really'

lol

[hasty hill]

Just trial and error tbh tried most of them and that's the only 'reasonable' one

Pron won't work in exams cause of time but either or it's too late to learn rearranging

[lunar pendant]

Well I'd be thinking

'what steps do I need to take to get θ alone'

Well, firstly I don't rly like the 900pi

so I'm gonna divide that

534/900pi = θ/360

now I don't like the 360

that's stopping me from getting theta

so then 534/900pi × 360 = theta

or you could write it as 534(360)/900pi = theta

,w (534(360))/900(pi)

[pallid portal]

Results provided by WolframAlpha

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

Requested by mot_.

[lunar pendant]

Well then

bloody wolfram

[hasty hill]

Big number at the bottom

Didn't know it goes that farrr

[lunar pendant]

I know, wolfram is just being a bit stupid and not inputting my result correctly

[hasty hill]

Maths actually just doesn't make sense, can do it but it acc doesn't make any sense how we get the numbers

[lunar pendant]

68° to 2 significant figures

[hasty hill]

Hate significant figures with my life

[lunar pendant]

why

what's the issue

[hasty hill]

Cause it hurts my brain when the zeros come first

[lunar pendant]

its just like decimals but you start counting from the first non zero

[hasty hill]

Ik but then you gotta add it back in

[lunar pendant]

so if I had 0.0037273

what would that round to if I said to 3sf?

[hasty hill]

372 to 0.00372?

[lunar pendant]

how

you can't suddenly get a bigger number

we still have the 0.00

[hasty hill]

No 372 are the significant numbers

[lunar pendant]

we just ignore it in the rounding

ah

[hasty hill]

wrote it out kinda odd

[lunar pendant]

so what would it round to

[hasty hill]

How many places are we rounding too?

[lunar pendant]

3 significant figures

[hasty hill]

0.00372 is 3 signifant figures

How am I meant to round that

[lunar pendant]

check the digit after the 2

it is a 7

soooooo

[hasty hill]

Nasty numbers

[lunar pendant]

not rly

[hasty hill]

0.00373

[lunar pendant]

there you go

harder one now

[hasty hill]

Oh god

[lunar pendant]

0.809003373828237741047

round to 5 sf

[hasty hill]

0.80900 cause 0s count after a number above 0 right?

[lunar pendant]

bingo

so you can do it lol

[lunar pendant]

what about maths

is confusing

[hasty hill]

Right so like bassically sin cos and tan are apparently a number that represents God knows what or on a graph a little weird line and how on earth are we getting angles using them

Genuinely maths doesn't make sense how we're making numbers from words and all this. It makes sense when doing it but the logic ain't there

[lunar pendant]

that's a misconception

sin cos and tan are not numbers

they are functions of an angle

[hasty hill]

Angles have more to them now ?? Whattt

[lunar pendant]

a function is just a relationship between variables, like y=x
or y=sinx

[lunar pendant]

you can say for instance that since sine is a function of an angle, you can work out the sine of an angle

like sin(60) (in degrees) is sqrt3/2

[hasty hill]

And someone's brain has figured that out?

[lunar pendant]

oh yeah some random guy like 2000 years did that

invented (or discovered, its a debated topic) how angles work

[hasty hill]

They didn't have calculators or nothing maybe some mud to draw in and the sun

So somewhere in there someone has put numbers and made another thing

[lunar pendant]

there used to be massive books

which had angles for loads of values of functions

[hasty hill]

But who's figuring this out before the books

[lunar pendant]

someone invented (or discovered) it

[hasty hill]

Random people with like mud and sticks tho

[lunar pendant]

the whole idea with maths is:
there is an issue we do not know how to deal with
let's create a system to be able to deal with it
we can now solve the problem

repeat for all of history that we've had maths in

[hasty hill]

Hmm things just don't add up you know

[lunar pendant]

na maths wasn't rly a thing until about 2000 BC

[hasty hill]

See the world doesn't quite work yk

My brain goes back to 1910s max

[lunar pendant]

when scholars started thinking abt how our world works

and what they could invent to do make the world make sense

[hasty hill]

Calculatorssss

[lunar pendant]

so we can consider stuff like numbers and algebra the 'foundation' of mathematics

so atm you probably have the level of understanding of a top class scholar from ~1000 BC I'd say

[hasty hill]

At the end of the day numbers mean nothing it's just a line to represent something physical sooo maths overall is just nothing

[lunar pendant]

but they do mean stuff

they represent real world events and problems if we want them too

we can model with maths, create structures, invent new tools to help humanity

obviously some maths is just pure in the sense we're doing it to advance the field of maths or for enjoyment

but applied maths is actual application

no maths = no computers

[hasty hill]

See but science right makes sense, things react they let out stuff etc, maths is all a theoretical thingy like 2 doesn't mean anything till I make it represent something like

[lunar pendant]

why does science mean anything

why is a cytoplasm a cytoplasm

very philosophical question tbh

[hasty hill]

Cause I like science lol so it gets that respect

[lunar pendant]

😭

you planning on doing a levels? any ideas about that?

[hasty hill]

Yeah got a few in mind

Not maths

[lunar pendant]

I can tell

[hasty hill]

History, geography, (chemistry or biology)

Possibly criminology related stuff too

If I don't want a science but yh

[lunar pendant]

oo nice

I did geography gcse, was fun

[hasty hill]

Science to keep the science field open, history cause its fun, geography is apparently easy and yeah

Sometimes I like geography sometimes I dont

Depends on the topic

[lunar pendant]

yeah igy

I'd say if you don't wanna do maths at all, biology > chemistry

[hasty hill]

Kinda wanna go into forensic science tho, idk why

[lunar pendant]

or take 4

and drop one

[hasty hill]

I still don't know which way round the symbols go so idk what you mean lollll

[lunar pendant]

that's very cool

[lunar pendant]

means greater than

[hasty hill]

My brother sid that so I might do

[lunar pendant]

means greater than

<

[hasty hill]

Biology better?

[lunar pendant]

means less than

</ (less than or equal to)
/> (greater than or equal to)

[lunar pendant]

yea if you're not gonna do maths

[hasty hill]

Human biology is better imo tho, plant biology gets a little odd

[lunar pendant]

it's just VERY content heavy

[hasty hill]

Love enzymes and the human body etc

[lunar pendant]

probably the most content in an A level

[hasty hill]

I've seen lol, got all my brothers work that hr did and its like a lot,

But I told my mum tho it depends on my results yk, if I get a C in biology then I prob shouldnt

Planning for A A*s not cause of like the general reason

Just like the way they look

Bs are ew and just you know you were close to an A but failed

And a C is you're terrible you just about passed

A* is what I need but can't/doubt ill exactly get there

[lunar pendant]

prepare to be humbled in y12 is all ill say

lol

[hasty hill]

I'm prepared to fail

A levels will kill me off prob

[lunar pendant]

the sciences will humble you

until everything clicks

and your grade jumps up

[hasty hill]

Yeah I've been through some of the courses they're hell

But you gotta suffer to succeed

[lunar pendant]

yeah

Best time of my life atm tho

[hasty hill]

If you're not suffering you're failing

[lunar pendant]

much better experience than gcse

[hasty hill]

Nah love GCSEs atm they're not fun but like

Love getting things right

But longstory short got illness so I'm sleeping like from 4pm till 9pm so I get no revision done ever

And I gotta sleep at 11pm so it's 2 hrs plus time to acc let my brain focus 1hr and it isn't enough

So technically prepared to fail

It's kinda stupid though

Not exactly fair on me

Either or, kinda excited not rlly excited for A levels

I'm going uni 100% (if I don't fail)

Cause why wouldn't u, 1 subject for 3 years, its peace