#geometry-and-trigonometry
1 messages · Page 133 of 1
but it's all written as "relative directions"
instead the usual compass numbers: 0° to 360°, starting from north, clockwise
yea
ngl i'm imagining myself using excel instead of a sci calc with this one
i should have realized that sin and cos are quite literally projections (in this case), and c * sin(a) measures how much of c lies on the y axis and cos is just with the x axis, that makes this so much easier.
Important lesson. Remember that.
im reading a first exposure level linear algebra book, its just a weird question
i do the checkmark ones
then after this book ill do the la done right one
ts is too advanced for me
what grade math is ts
idk im self study, supposed to be after high school, I will mention at the end of precalc you should learn vectors up to dot products imo
which I am just getting past that
this book is very good
im grade 11, but i self study calc, la rn, and how to prove it by daniel j velleman
orz
self studying is good
u shud do math contest problems
they are more fun imo
i kind of have to imo, my math teacher sucks at my school, I get high schools teach procedurally but my teacher doesn't teach understanding but formuals to memorize
yeah those suck
and I like math when I understand it, and im curious so I just kind of study it, I want to get to atleast an engineering level
understanding the formulas is way more helpful
because thats what ima major
thats good
Engineering sounds fun
im in usa, idk if I can do math contest problems though, I have understanding but I haven't had a whole lot of problems that require creativity
can i give you one
sure
lets go dms
camn someone help
what's x supposed to represent
uh
x is just a variable that i need to solve
its x and y btw not x and x
ts looks like hieroglyphs
my bad
yeh, but where is it in the diagram
jk
where is what
i was joking bru
x
idk thats what im asking
tf does x represent tho
is there a different way of solving for the side lengths
the length i need to figure out
ah i see
which length in the diagram are you trying to figure out
please help D:
the rad 48's
i did it already but want to know how to solve
my teacher did it in class
you do the honours mr. Orz
i think it's the outer tangent
My teacher said to make a rectangle and then use pythagoreas but does that always work?
Like 7 is the hypotenuse then use 49 = 1^2 + b^2
for these kind of question yeah
ok tysm
is it ok if i can ask one more question?
Ok
give me one sec to find the image
actually two sorry
for the first one can i just solve distance like normal then times what i get by 3/2?
or to be exact
$r_1+r_2= \sqrt{(r_1-r_2)^2 + t^2}$
fir the second one what does it mean by no change
tsuitachi (tuitati)
yeah
?
i mean, you have 2 points namely A and B, with scale factor of 3/2
not sure what the actual question asked to find but i assumed distance because you asked distance
mhm
like i got 13.5
then times that
to get 20.125
for second can u help?
can soeneo help me with trig
what u need help avec
the x in that equation would represent that part
also those green and blue parts won't both be sqrt(48)
can u ping hi mpls
wut
whos mr orz
that mod guy
why orz...
yes this guy
where'd you get that
hes so smart
why the heck are you trying to ping me specifically?
the question is being...?
help me wiht polar graphs pls
because ur smart
wait patiently then
or make a help channel, forums don't get as much attention
help this bro out
how do i make a chanel
also just realized smth
only use this IFF the two circles touch each other!!
#❓how-to-get-help
look under ✅ math help (Available)
for one without a name
and follow the instructions there
i see
they are both sqrt. i got an answer key.
sqrt 48
ignore the formula i wrote
answer key is wrong then
green is sqrt(48), blue is not
the question is the little text at the bottom right corner: what does it mean and what are some examples of lines that "never change" according to a and b?
It isn't wrong.
How?
wait, so dilation? and find all the new points after dilation?
It's asking what lines are the same after dilation over the points A and B.
(a or b)
yeah that one's a manual task i'm afraid
My teacher said it isn't
well, then lines that unchanging are the ones
ones that connect with a or b?
yeah
ok thank you.
umm i have one more question im sorry D:
is that fine or do u have to go
yeah 1 more is ok ig
tho i'm not working the questions
as in, only giving what to use
doing the calculations
the blue part would actually be 3times longer than the green
drawing a scaled graph,
those parts clearly have different lengths
The answer key isn't wrong...
How did you get that graph?
i made it based on the values you've given
Thank you—just give me a sec.
I said ignore the equation I made though...
Ignore the 21 that comes from it.
the 21 would give the part i marked in x,
but i didn't use it
regardless the brown part won't be sqrt(48)
What is the length of that long piece then?
three times that
3sqrt(48) or equivalent
20.78 is not 21
What equation did you use to get 3 sqrt(48)
k/3 = (k+sqrt(48))/4
huh
from similar triangles
can u use texit
$\frac k3 = \frac{k +\sqrt{48}}{4}$
ραμOmeganato5
How did you get that
Where is the problem statement here?
from similar triangles, ratio of corresponding sides
i wrote sqrt(48)...
I meant that.
total length of the side of the biggest triangle
Can you show me?
i wrote x, to make it clear what x would actually represent in that equation
You circled the equation though
yes,
to make it clear that would give you the red x i marked
imagine a different varaible if you want
but that part will be 21
the green or the blue or both?
Both.
wait can't you do k/3 = sqrt(48)/1
yes, that works too
and easier
ty
teacher's can be wrong
why do u just use k though
Clearly, (green+blue):blue = 4:3 by similar triangles, so blue must be three times green.
is x red
and i like using the variable k
up to personal preference what you use
ok wait
my teacher said to make a rectangle then use pythagoreas for the small triangle which is the same as the rectangle side which is rad 48
yes, and that gives you the green as sqrt(48)
what did your teacher say about the blue part?
he just said they are the same size
why do i have a ping here
cuz like the middle is half of the big triangle
with no reasoning/justification?
did someone ping everyone or helpers
both are same
its not the exact middle though
that hasn't been proven, and there's nothing indicating that
no
oh
it may look like it on the diagram you made (which isn't to scale) but its not
lol
alr cya
which as demonstrated when drawn to scale,
that part is much longer
and from calculations can be determined to be 3 times longer
can u make a similar question for me to solve
?
then x is solvable
i still dont know what the correct answer is though
all of my classmates got rad 48 as well
for both?
mhm
or just the green
both
because noone is disputing that green is sqrt(48)
or when simplified 4sqrt(3)
wait what are we solving for
the side lengths
of which
Are you still there
wdym by radical 48 (no 3)
im so confuseddd
like no three in front
...
my test is tmr and im panicking cuz idk who is right or how to solve
that's exactly what i've been saying
that that part was 3sqrt(48)
and not sqrt(48)
texit?
plz helpD
D:
so i've been saying that part is $3\sqrt{48}$ and now you're also saying that's what your teacher had?
ραμOmeganato5
my teacher had rad 48 by itself i said no 3
like not 3 rad 48
i'm still not sure what you mean by you said no 3
ok, then again, they're wrong
can i ask one more question?
sure
ignor ethe bottom
making a to scale diagram,
k/3 = sqrt(48)
I will say what the top says
"Under which transformation would figure ABC be similar to DEF (x,y)
like abc pre-image def image
will give k = 3sqrt(48)
i've also been ignoring that sqrt(48) can also be simplified
i recommend taking this up with your teacher
you're using pythag so its better to leave it unsimplified
doesn't matter what calculations were used to get it
radicals should be simplified where possible
is an implied requirement
unless stated otherwise
So what do I do????
i mean like plugging in sqrt48 into pythag
Wait quick question
so its easier to get 48
can i always make the little rectangle then use pythagoreas or is there a specific method i need to use for most of the time
like i did 49 = 1^2 + b^2
then got rad 48
but idk if it always works for that shape
please help
it will,
its a right triangle it does
given the tangent is to both circles
you'll have 2 right angles
so yes?
yes
the rectangle i made is correct, right
yes
?
yes
yes
but don't assume those parts i mentioned will have equal length
that first part was fine
I will say the exact wording 1 sec
don't assume any lengths or congruency (unless given)
"Under which transformation would the Image of ABC be ~ to DEF?"
he said it was so im so confused!
is that it
just that one question im confused on
he's wrong
this is all that it says
whoops
wrong reply
if there's no justification/proof, be a little sceptical
we're showing you why its not the same
he said its the midpoint so idk
yeh, with no proof
ill trust u
lol. god bless him but he cannot make good review guides for his life
do you guys know the answer for the word question tho?
did he just say it or did he say it as a given
he wrote it but put 3 and 6 not 3 and 4
so i think he was wrong too
now
from a vertical perspective
if the values were 3 and 6,
then it would actually be the midpoint
and they'll be the same lenght
can u help with the word problem
i have no idea tbh
he's talking about the measure of the radii
ts been going on for so long
send help
what help u need
the word problem
"Under which transformation would the Image of ABC be ~ to DEF?"
wheres the image
can u send
I aint scrollin
I sent what u need
there isnt an image
he said something like (3x, 3y) not (3x, 2y) or something?
is it just dilation
here
what??
how tf am i supposed to know which transformation it is
idk so on the test guess dilation its a 1/4 chance anyways
It's asking what transofmration makes it similar
like from preimage to image
not congruent
r u sure theres no image
100000% sure
whats the question
its just knowledge
theres not enough info
"Under which transformation would the Image of ABC be ~ to DEF?"
Gimme all details on the question
i think its dilation because it changes the size so thats the only one that is similar not congruent
are we given point coordinates
its just knowledge though no images
That cannot be answered without some information about what A, B, C, D, E, and F even are.
how tf am i supposed to know
exactly
isnt it just knowledge based?
everything else is congruent so its not similar
(rotation, reflection translation)
well u shud have said that earlier
You seem to be leaving out most of the question.
prob more details not said
whoever made that question should be fired
my teacher
did he teach it during class
No, there is no universal meaning of which points (?) the letters A, B, C, D, E, and F always stand for in math problems. That would be absurd.
yes
yeah
he said dilation but im not sure if its just dilation
ok u prob forgot some points
u forgot the details
if u remember the details tell us
It is not a whole question.
If you have been given a partial question, that's too bad, but claiming its a whole question does not make it one.
otherwise given the information now we cannot solve
that is the whole question though
its asking what transformation makes an image similar
all
But I think it is more likely that you actually have the details in front of you and have just somehow convinced yourself that the details are not part of the question when they actually are.
or it is the full question?
No. It. Is. Not. A. Whole. Question.
it is!
it is the full question
r u even listening to mr orz points
u arguing about it isnt helping me solve it
If you are so sure of that, and you know better than us what makes sense or not, then why are you asking questions at all?
For a second answer?
You are making this more complicated than it needs to be.
ts pure ragebait
Asking for an answer to a question isn't ragebait.
"Under which transformation would the Image of ABC be ~ to DEF?"
You're refusing to show us the entire question, and you refuse to listen to us when we say there must be more information, and you refuse just to take a picture already of the entire piece of paper you have been given that contains the question.
THAT IS THE WHOLE QUESTION
Not your own scratch work.
The paper with printed text on it that your teacher gave you*.
the printed text is from the teacher
the handwriting is the notes my teacher told us to take
the question is printed
No matter if you made the problem sheet yourself or not, you need to show it to us.
The only picture you have shown is handwritten scratch work.,
the handwritten work is the printed work my teacher gave to us
you can see the different handwriting
if u dont believe me then dont waste my time arguing with me about what my teacher gave to us or any details
There is no printed text in the photo you have shown.
it says 3x, 3y ans 3x, 2y points
the handwriting IS the printed text
explain those
that is my notes
nova give us the full details dummy
Show is the actual printed text, not just your hand-written copy of it.
IT IS PRINTED
r u stupid
are you?
You may be looking at a printed copy, but the photo you're showing us does not contain anything in print.
Hell.
the handwritten work is the printed.
stop accusing me.
Do you even know what the word "printed" means?
which printer has shitty print that looks like handwriting
IT IS PRINTED
prob not
do you have another copy of the question?
this is the most overconfident dummy ive ever met
rip
ur the dummy. im saying its printed and u dont believe me
do you know where the question came from?
my teacher wrote them then printed it out for us.
My thesis is that if you were to actually show us the original printed text, there would be some part of it that you thought were not part of the question, and which you therefore did not copy to the handwritten sheet that you keep showing us instead of the actual problem sheet.
They want you to show the what the teacher gave you.
we aint accusing shit
THE HANDWRITTEN TEXT IS PRINTED
dude
It is clearly hand-written.
can you show us what your teacher wrote
and not what you copied.
so u just admitted its hand written
thats what i just said
and not printed
so then its NOT PRINTED
THE HANDWRITTEN TEXT IS MY NOTES (THE BIG HANDWRITING) AND MY TEACHERS NOTES HE PRINTED!
HE WROTE IT, THEN PRINTED THE COPPIES WITH THE HANDWRITING
search what print means first
holy spedhead
They want you to show the what the teacher gave you.
not your handwritten notes
the handwritten notes is literally printed
if thats all the teacher gave then its unsolvable
thats what ive been saying from the start
stop arguing with me over lying about printed or not printed
just help me with the damn question
Handwriting and printing are DIFFERENT THINGS.
god
Not enouh details to solve
these are what you've handwritten
what did the teacher give you?
give all details
he wrote notes on the papeer for us, then DID THE FUCKING PRINTING
We cannot help you with the damn question when you keep refusing to SHOW US A PHOTO OF IT.
WITH THE HANDWRITING
ok i think i get what she means
THE WORD IS THE ONLY THING I GOT
he but whatever im not wasting any more time
here
i was referring to you
absolute buffoon
ok ill move on to a different question since this is fucking unsolvable apparently
god help me
not enough info to solve
It is fundamentally unbelievable that your teacher would write problems as indistinct pencil scribbles on graph paper instead of photocopying a problem set.
lol
well he did. so stop arguing with me bruh
ok
since your so smart and were all wrong
go figure it out yourself
no ones smart ur just accusing me of lying
and dont ask for help you ungrateful brat
im asking for your help, and you say i wrote the things myself
not helping, if you're just going to sling insults, leave
yes ma am
THANK YOU
she has been insulting me and accusing me of lying and shit for no reason
Ok ill be civilized
can we move onto the next question
It is possible that you copied it by hand from something your teacher wrote, but the photo you keep showing is HAND-WRITTEN, not printed letters.
Are you sure there are no details you forgot to tell us?
doesnt matter tbh
im not answering you because you are so fucking stubborn about this
end of story
oh
wow
stop saying it isnt printe
Nova
Just move on to the next one. This isn't getting anywhere. No point continuing to argue.
You're the one being stubborn by insisting that a photo of handwiring actually depicts printed text. Those are DIFFERENT THINGS. We can see on the image that what it contains is hand-written in pencil, not printed text. Claiming that is is printed makes you the liar.,
Sigh. I bet we're not going to get to see the next one either.
stop calling me a liar. i told the truth and you are too ignorant to listen
here
the bottom is printed the top is my handwriting
which i took notes of
Another picture of handwriting.
dude
cope with it
There's nothing printed in that photo.
Strictly speaking I suppose the graph grid is printed.
she doesnt listen to anyones points
@silent plank
?
whatever i took a picture of is all i have
dont ask me to magically make coordinates appear
;-;
bro
thats all my teacher printed for us
ggs
well i cant do this problem without coordinates
YOu're not showing what your teacher printed for you.
Are you somehow afraid of some copyright stuff if you show us the problem sheet you got??
I told him yesterday and he didn't listen in the forums 
the bigger handwriting is my notes
Maybe troll atp 
ok ill solve
so
we know all the points
There's nothing BUT handwriting in those pictures.
im not a troll. can u guys just be supportive and help instead of drag me down for no reason
so first we coordbash ok?
The problem is we don't see the questions
because we clearly see each of the points
Your refusal to show the actual problems as they were given to you is not "no reason".
after bashing them
Only your handwriting, no clues for what we must solve
he printed print questions for us just the notes. the notes bascially are the questions
we can chuck it in the quantum supercomputer in your school
there is no printed question!!
Yes, please enough with the handwriting and show the typeset problem statement instead.
he wrote the question by hand, then printed those handwritten papers to us.
is that clear?
yes
nova
im trying to help
i dont see the questions in those handwritings
ok please help.
the question is basically which lines stay the same even with dilation from points a or b
only says dilation conditions
atp use ai
now we are talking
!noai
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).
AL cant see images well.
finally
something useful
and i prefer actual human help
Ok so what is the answer do u think
humans dont like being dissed
maybe ask your teacher
tell us the full question
you were dissing me for 20 minutes
dont even start
expand on ts
i wonder why
yes thats what you are doing
enough. we are not going back to this
help me with the question plz?
who is "we", you are the one asking for help
And yet, you insist on only showing us handwritten scratchwork when we keep asking to see the problem.
Yeah
we dont have to help if you doing random stuffs
We arent your slaves
Wouldn't it be easier just to show the damn problems already?
the handwritten scratchwork is all my teacher gave us
ok fr tho stop ragebaiting
@grave pond
how would u know that
its gettin annoying
u dont have my teacher
Alright we don't have to help you bro.
Stubborn ass.
FAHHHHHHHHHH
AINT NO WAY
WE
ARE THE KNOW IT ALLS
And how does he know that?
Ahem
i meant know it all as in he didnt print the papers with the handwriting
Everyone calm the F down
No Idea, that's why he is asking 
STOP ATTACKING ME BRUH
yes guys calm down discord mod is here
He claims that his teacher didn't give him anything where that is written, so why would he even know what the problem is?
not helping, you're part of the problem.
ok probably start by labelling the lines just so you can answer properly
ok mod
yessir
this is the way
Alright, Nova either give us the real question or we won't help anyways.
yes
How do you know what the question is?
im asking nicely then they accuse me of lying about the handwritting not being printed, me not showing the full paper, and other
are you ban speedrunning
Lets move past whether stuff is printed/handwritten
You are the one asking for help, then you must collaborate
Well, we cannot really move past whether we get to see the problem statement or not.
nova last chance give us full details on the problem or we done
just bc its handwritten doesnt mean it wasnt handwritten before it was printed
use logic bruh
It seems that there is insufficient info and/or the problems are poorly phrased/constructed
What do we gain from arguing abt ts
I said thats all i got but they accuse me of hiding details which is pointless for me
just give the full problem
If the problem doesn't seem doable, move onto the next one
wise mod
Its probably not your fault, but the teacher's
fair
So everyone stop these attacks.
:)
fr
Again, where do you know this from?
You have not shown us anywhere that explanation is written down.
BRO STOP
IM NOT ANSWERING YOU FOR THE FIFTIETH TIME
u literally said fuck you
can we get back to the maths ;-;
It would be so much easier just to show us, instead of wasting so much time loudly refusing to show us.
here is what i was given
lets pretend that didnt happen
your teacher wrote this?
yes!
nova
i wrote some notes but mostly his
hm
IF that was all you were given, then how do you know "the question is basically which lines stay the same even with dilation from points a or b"?
bc he explained it in class
ok tell js everything abt what he explained in class
tell us how he explained the problem during class
if i did you would say im lying
that would help a lot
You're being attacked for refusing to show us a problem statement and somehow demanding help anyway.
and pointless
Good job 
fr
she dont listen to noones points
so teaching her would be even harder
Why do you keep calling him "she", by the way?
oh
i dont read pronouns
i need to remember to do that
wait is ts bannable
sorry nova i thouht u were a she
if by mistake then probably not
how tf do i check pronouns
how did you know its a he
gamble it
click on their profile pick
it says on his profile
Ig bro
How would i do 6
draw the diagram
and use tan(θ)=y/x
duplicate the formula with other numbers except the y, then find y that way
Would it be two triangles
Like one is like a rt
And one is slant
there are 2 triangles
Sharing one tall monument
yeah
The rt triangle is 34 degrees
set up two tan(x/y)
Okay
both are right
yes
x on the adjacent side
y on the monument (opposite)
And the total will be 100 + x
not tan(x/y)
tan(θ) = y/x
That’s cot
right
so you can set up two equations with tan
to make a system
tan(θ)=sin(θ)/cos(θ)
tan(θ)=(y/r) / (x/r)
tan(θ) = (y/r) × (r/x)
tan(θ)=y/x
cot is the x/y one
Okay
^
repair the drawing of 100+x since ppl later will think 100+x is only the appendage
Is it tan 34 degrees = y/x
that's good
x tan 34=y
so xtan34 = tan22(x+100)
I got 0.40402622
i got that too
Or can i make it tan 22 x + tan 22*100
Which is tan 22 x + 40
133.33 * tan 34
89.93 or 90
yeah
it says to the nearest integer so it would be 90
yep
Will i see this in bearings for trig
this is just simple angle addition
probably not
for trig, prepare the worst case trig scenarios like identities that is hard to memorize
and niche special cases like the ones that involves multiple of 20° angles (EXCEPT THE EASIER SIXTY DEGREES), regular pentagon/heptagon angles, etc
oh, also adv trig that uses 3d objects, though, worst you can get is a pyramid
Trivial
? = 105° if my mental arithmetic doesnt fail me
correct
then 55 + 50
Oh
guys pls tell me how to pass math🙏🏻
Practice, study
guys can all of you guys pray for me so i can pass math exam
mathematics is my killer subject
Was it worth it? Memorizing all of unit circle and sin cos and tan and its reciprocals?
Cuz i did—please tell me it's worth it...
it's just 4321 1234 + ASTC 🥀
Yea no shit...
It only took me 20 mins to memorize all, but i was asking that was it really worth it?
How would an answer to that question inform your future decisions?
Need help
try drawing a diagram
Oh and +8 because it's elevated
Is it a triangle and a rectangle
It’s like the shortest tower and the highest
I got 93.969 ft.
That’s what I had
Then add the 8 feet because it was elevated
Then it’s “ 101.969 ft is the highest above the ground that can reach”
Yup
The "above the ground" height was included so the 8 feet was necessary
I forgot how to these
Ok
That's a lot to expect from an online chat. Have you tried locating a textbook and working through the relevant sections?
idk..i though ppl help hear so i joined..
Wait I get this now
Do u still need help
Let me just write it I'm bad at explaining with texts
@slim plinth Ask/Tell me if there's something here u don't understand
Yes
woah
finally the channel is on topic
oh hi plens
nvm
hmmm
these geo problems are my strengths
i just see a simple trick every time
Not rlly trick
Yk what im being misleading
just solve
i see coordbash
bash it then
okie
wut
oh yeah
please keep things on topic
I know ur name
set up coord system
u can find the radius
and so u can find intersections, and then area
i'm not gonna do it bc i have egmo to read
ok cya
but btw u can find without coords
guys i have 2 math exams tmrw😭
I mean i did study the lessons that are coming but like i just took them 2 days ago idk if i can do this
I did study though and i did solve a lot
I just dont know if i can memerize the formulas
,w 500tan(23 deg)+500tan(50 deg)
To the nearest foot, yes.
are Rounded Rectangles' insignificance in mathematics is due to its nonspecial, yet too straightforward equations?
IMSO NEAR IN SOLVING THIS ARGGGG
AP= 10√5-20 and the radius is 10√5
@marsh marlin ITS 61
ITS 61 AAAAAA
Let's js wait for the result
helo
Elo
how are you
I don't think it's valid to have conversations here that's not connected to trigo or geoms
67
How do u find measure of RZV? Im sure its arccos of 45/53
yeah
is it a MJP a right angle
Can someone help me solve for n and m
I don't think it's a right angle, JZ is 28 and JM is 90
arccosine 28/90 is 71°
I think m= 50
top right angle total ís 180 degreee
you have angle x + 75 =180, since this is a parallelogram, then the opposite angle = this angle x
75+55+m= 180
m=180-130? Correct me if I'm wrong
m = 50
Why is 75+55=180
I'm wrong
it is 50 right?
since the sides are parallel we can apply the alternate interior angle
I think this only applies to certain gons
label them, itll be easier to explain
I did apply alternating angles
Ahh noo
It's 2 parallel lines
opposite sides are parallel = alternate interior angles are equal so m= 30
Did I just contradict myself
alternate of 55 + 75 = 130
180 - 130 = 50 which is the angle on the top right of the upper triangle
alternate of 30 is top left angle of top triangle
sum of interior angles in traingle = 180
50 + 30 + n = 180
n = 100
now opposite angles are equal in intersecting lines,
the bottom triangle makes m + n + 30 = 180
m = 50
Wait no it is 50
55+50= 105
180-75=105