#geometry-and-trigonometry
1 messages · Page 64 of 1
Do not shout at the helpees.
I'm shoutibg at terry
(the shit being done is shoutworthy but yea i agree with you apparantely)
i dont get ittttttttt i still dont know what to do after u said 3.14 x 2^2 = 3.14 x 4 =12.56
okok
it shows radius 2, hight: 3
can u teach me like if im a 6 year old
yes C=2πr
You already had the right formula at A=2πrh+2πr², but here you were computing 2πh+2πr² instead -- the first r was missing.
ok so c = 2 pi 2 ??
so the diamer is 4 beacus e 2 x 2 is4
no
ok
c = diamter x pi
im writing that down
diameter is 2 x radius
no wait
ok
only in this case
Where did the pi go here?
whatever the radius is, that times 2 is the diameter
im explaining diameter
Whoops, diameter not circumference. Sorry, ignore that comment.
k
so since the radius is 2, do 2x2. its 4 so 4 is the diameter
only in this case
cause it drepens on the diameter
ok
so, since C = pi x D
Pi is irrational also so it is usually estematied to 3.14
Subbsitue wat u kno so far
D =4 and Pi is always about 3.14
so C= 3.14 x 4
ohhh
C = 12.56
does thta mean i can write it down
im gonna write d = 2 r
to find the green area do C x H
okay
also u dont need to write the green area thign
3.14 x 3
no what is the ircumfrance found
oh 12.56
yea, so 12.56 x 3
37.68
which is the surface are / per container, right
?
what is
37.68
no its the diameter x h
and the green space + red shows it makes a full clinder
so wat was the area of 1 circle?
π r²
in that case it was 12.56
oops
ur right
in general it is pi x r^2
when u keep 2 for r beacuse 2 is the radius u get 12.56
this shows that the circles are = to each other
so that means 12.56 x 2 is = one circle's area + the other. (or any circle's area x 2)
12.56 x 2 = 25.12
writing that down
no
ok
write in a clinder the 2 ciclles are = to each other
ok
the non yellow parts are equall
yes
37.68 + 37.68 = 75.36
25.12 (the top and bottem circles) + 37.68 (things surrowding or the yellow space) = 62.8 (the surface area)
no that was the yeloow
ok
25.12 were the 2 circles, 37.68 are the yellow, togeter they make the suface are of 62.8
can i write that down
write that the circles in a cylinder + the lateral suface are = the total suface area.
ok
ur welcome
it took one hour
oh
i will be back
i gtg
GUYYYSSS.. need helpp..
- wats differsnce b/w tan and slope in unit circle
what
differnce between slope and tan in a unit circle (trig)
according to Fiveable: "
The tangent of an angle is defined as y/x, and we related x and y to sine and cosine above, we can conclude that tan(θ) = sin(θ)/cos(θ). It is also important to realize that the tangent function represents the slope of the terminal ray , which is the line extending from the origin to the point on the unit circle ."
im not sure
"the value of tan is equal to the value of sin over cos. So, the tan function for a given angle does give the slope of the radius, but only on a unit circle or only when the radius is one. For instance, when the radius is 2, then 2tan(45∘)=2, but the slope of the 45 degree angle is still 1"
so it can depend
I gtgt
*gtg
ahhh .. kk .. bye
oh ok then
byee !! cya
cyae
heyy .. anyone wanna help me 😦
heyy i also want help
why is everyone so busy 😦
all sleeping ig ?
a lot of people used to be online
r u in highschool
yep
what grade
9 th
wth and ur taking geo
wow im 11th
i hate math so much thats why im so late
when is the last day of school for u?
i curently have summer vactions
do u have summer homework
yes .. havent event started 😎 \
that sucks
will do in last 5 days ..
uhhhhhhhhhhhhhhhhhhhhhh......... i still have a lot of holidays
and my hoildays started 1 mont ago
so when do u go back 2 school
1 july
i think i should try the help channe;
ahh
btw wheer is teh discussion channel
help us
yayy
Show
help God first
thx
show
me next please
differnce between slope and tan in a unit circle (trig)
@celest wave what have you tried
i need help im dumb
i dont know anything
i havent payed attention
Oh nah I’m not doing inches 
but i do know a little bit since others helped me
have you learned the formulas for surface area of these shapes?
just put values
yeah, that would be the volume of a cylinder
and sole like a equation
Btw I answered ur question
i still have doubt
what would you do if you wanted to find the radius when you have the volume and height?
the radius would be 30?
or divide 30/2
the first step is to divide by the height yes, then you would get the area of the circle in the bottom of the culinder
$A = \pi r^2$
caspar
$r = \sqrt{\frac{A}{\pi}}$
caspar
i dont have the radius yet so what do i put for r
15/pi
$\sqrt{\frac{15}{\pi}}$
caspar
what does that equal to
4.77464829
thank u
inches*
so is that the answer for the surface area or am i not done yet?
oh
did we find the radius yet or no?
$S = 2\pi r^2+2\pi r h$
clonesolopros
this is the radius
ok 4.77
well it simplifies a bit
so 2pi4.77^2 + 2pi4.77+2
is that right
$S= 2\pi \frac{15}{\pi}+2\pi \sqrt{\frac{15}{\pi}} 2$
can i write that down in my paper?
srry im not that good
is ok
$r^2 = \frac{15}{\pi}$
clonesolopros
4.77 = 15/ pi
clonesolopros
that
ok i write this
you can cancel out things
what does that equal to?
$S = 30 + 4 \sqrt{15 \pi}$
nvm
clonesolopros
what is it equal to
57.458737 in^2
is that the final answer?
yes I guess
ty ty
just as I joined and I already helped someone 😂
sure
this is what my answer looks like btw
Cone: $V=\frac{1}{3}\pi r^2 h$
clonesolopros
I would always put the units on the answer sometimes its important which unit you use
ok
Cone: $r^2 = \frac{3V}{\pi h}$
clonesolopros
clonesolopros
clonesolopros
So I'm practicing my trig skills but have no ideas on how to start this
do u still need help
first
find one of the sides of the triangle
using the right triangles
I used tan for the one on the left and got 45
😭
Do we round it then To 34.5?
always round at the end
anyway
now that we have the height of the triangle
cos 56 degrees = 34.5/x
Ily bro like what the
Yo I've been stuck for the past 2 hours
<@&286206848099549185>
someone help me
is this right
@grave pond hi
im so sorry to bother but do u think u can help
no one is helping me please
@celest wave hi whats your problem? 😇
,rccw
lemme check
first is correct
2nd
correct
whats incorrect
why
what
for cone
yeah
do you get it
yes
ok
the area should increase to 4a not 8a
what else is wrong
i think thats all
its all gud
Why?
hey do u edit
Wdym
Wait nvm
Can someone give me clue how to count x?
Just clue
is ABCD a square?
Yes
so the alphas are 60
Could someone help me with this I’m low key lost
I forgot how to find the time it takes for h to e ball to hit the ground
I think it’s actually that x = 90 and that the line is AD
you just have to see what the value of t is when -5(t - 2)^2 + 20 = 0
cause if u let the supplement to x be y
by the exterior angle theorem u have x = y + 90 - y
so t equal to 2?
nope, (t - 2)^2 = 4
@frail hawk
im sorry im a bit lost could you explain it step by step if you don't mind sorry
add 5(t - 2)^2 to both sides: 20 = 5(t - 2)^2
divide both sides by 4: 4 = (t - 2)^2
now when you have to take the square root, two solutions are possible
so $2 = t - 2 $or $-2 = t - 2$
southy
so it would take the ball 4 seconds to hit the ground?
yep!
okok thank you I appreciate it
also t = 0 is possible but that means the ball was on the ground at t = 0
no worries
btw how I actually worked this out was -5 * 4 + 20 = 0
so (t - 2)^2 = 4
you might find that easier
Thank you
I just realize something 😭😭😭
I found it
yeah so that’s what it is right
this is not a very good problem though
it’s purposely misleading
can some 1 help pls
can u help us by increasing the quality of the image? @tiny wren
they want a higher quality image
whats teh differnce between slope and tan in a unit circle /
Can someone help me with this? Each problem should give me a letter. Number 1 gave me the letter G
wdym @upper karma
two different angles can give the same slope
these different angles are separated by 180 deg
??
can u explainn
The point A and the point directly opposite to A both give the same line
Hence the slopes are the same and tan is also the same
"Solid geometry" seems to be the most formal name.
k
You have to calculate their surface area and their volume
then just divide
surface area/volume
the lowest number is the environmentally friendliest option
um
can u do the brand a for me
so i can do the other ones
like as an example for me
and i can do the others
@restive sigil
just open the picture in your browser then it should be better
ok ty
@restive sigil
why is there 3 answers
i thought theres supposed to be 2
nvm i get it
thanks
wait i actually need help with brand b
because theres length width and height
no problem
its just a rectangle extended into 3d space
a little but like how do u put the formula
hi
i dont know where to start off
for rectangulat prizam volume?
yes
what i sthe question
for volume
oh
.
Lenth X Width X hight
no
no volume
ok
total surface area would be to add all surface areas together
so now what do i do
calculate the total surface area
u just did volume tho
yeah she need volume and surface area
wheres the question?
then calculate the surface to volume ratio
isnt this from yesterday?
here
Right rectangular prism
Solve for surface area
A=2(wl+hl+hw)
no
A=2(wl+hl+hw)
ok
for suface area
whats the l for
lenth
this rectangle has 6 sides one is the front with width * height then the sides with lenght * height and then the bottom and top with width * length
ok so
where are the values?
no rather a = 2(4.5 * 4.5 + 4 * 4.5 + 4 * 4.5)
ok
.
i will right that down
these are the values
L = 4.5in W=4.5in H=4in
yes
112.5
no 112.5 is the answer for surface and 81 for volume
wait no this says SA to Volume
can i help again
*365
okay
considering he buys every day
ist it 365 x the sa
yeah
so how does the paper look like now?
i will show u
ok
also yester day when you said "I will write that I thoght you ment as notes"
im a mere helpless being since yesterday
find the area for the prism now
ok
6s(a + h)
In A its Sa not Va
6x2 (a + 3)
u gotta erase
no
john will tell
can someone help me understand the sohcahtoa stuff
ok
like a basic explanation
yeah
jonathan which brand do i erase in what brand
yeah
but in a
u kept VA insted keep SA
ok so i write sa
i dont really understand it 😭
ok
you know basic triangles right?
i think its for high level problems
the math help
sure
is that allowed
No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/
but this doesnt make sence
thats what i used to use
what do you want to find?
i fixed it
nice
ok good
i can reply with emojis to activities damn
im not sure what my teacher meant by that but probably the angle opposite 22m? idrk
hmm
is there anything else besides this and the right triangle stuff
guys can someone help me with brand c
i will be back in 10 minutes or more the bell is about to wring
ring
i need you to clarify the question more. @woven estuary
see you
ideally you want to use capitals for the vertices/angles
and the respective lowercase for the opposite sides
yes
oh ok
i can set it up but idk how to solve it
i was tryinf to ping rachit sorry 😭
lol you should've kept it so i'd know it was a mistake
idk the cosine property
bro came in and said i hate geometry who pinged me lol
i forgot all this stuff
yeah i got confused
a^2+b^2-2abCosTheta = c^2
i think so
plugin the valuies
theta is a greek letter or variable for an angle
the bisected 0
is that to find the side length
yes
how do i do the abCosTheta part on a calculator
ahh
put a^2
+b^2
-2ab and find the value of the cos42 in a calc.
then root all that
hope i did the calc right
you gotta clear your concepts
well for now
lets just put in the values
ok i have it
i think
@woven estuary
yeah, what part now?
work is incorrect
after ur done helping them
where
i can wait
the first line after the cos law
one second
my calculator gave me a weird answer
the law?
use the brackets
the line after it
this one?
you didn't use your values properly, assigned them to the wrong variables
brackets where
c^2 &= 22^2 + 17^2 - 2 \cdot 22 \cdot 17 \cdot \cos(42^\circ) \
waiting for latex.
fuck
note that from labelling conventions, side c is opposite angle C
using C = 42°, you c should be 17
calculator, no brackets = wrong output
im taking diff values
a = 17
low quality
which is why the way you're setting it up was wrong
can u see
you can use a = 17, but then you'd use the variant with cos(A)
hmm right
a^2 = b^2 + c^2 - 2bc * cos(A) with A = 42°
the lowercase still needs to be opposite the capital angle
i think the results would be same.
latex do smth buddy
not if you don't set it up properly
can u try once
it gave me like 200 something as my answer
now root it
14.73
sqrt of that should be the answer, unless I identify the error @silent plank is pointing
give me 1 sec
the way you're setting it up is wrong because
the way you're setting up, c represents the unknown side (which isn't opposite the 42°)
HOWEVER
in the cos law and triangle labelling conventions,
c represents the side opposite angle C
if your use of variables isn't consistent, you won't get the correct result
oh
if you want to use C =42°
lowercase c NEEDS to be the side opposite that which is 17
and you can assign the other sides to a,b
is this right?
no
do you know what opposite means
yeah?
side c is opposite angle C
lower case side is opposite capital angle/vertex
so in this fig, side b is opposite to angle beta
huh
like you "could" deliberately define your variables that way
(if you were a cruel person)
which I am
ideally you'd associate
A, a, alpha
B, b, beta
C, c, gamma
yeah
in your diagram A is being linked with beta which isn't ideal
same for
C with alpha,
B with gamma
wait so was the answer right or wrong
right
wrong
ok solve
what
he will solve for you wait
rachit
yes
can u help me now or ru still busy
send the ques
lets start with proper conventions, going to use capital letter for both the vertex and angle for convenience
this diagram is the same as mine
no its not
your side c is opposite vertex B,
side b oppsoite A
and side a opposite C
im associating the angle naming
ok, but when applying the cos law, you used the vertex letter instead of the angle
its
itsss
should probs move to a new channel because that turned into a complete mess
well its correct
A = \frac{3\sqrt{3}}{2} s^2
this should work
wth is that
CMON LATEX
ok
tool
what does that equal too
calculate
i dont have a brain
i never solved
life isnt that easy
i have brain fog
i may solve it for you
but it wont always happen
it'd be 6*root(3)
approx 10.39
thats the answer?
what you're doing is. and trying to use cos(C) instead of cos(gamma, the angle that's actually opposite side c)
for surgace are / per contianer
just solve for her
for 1 day, yes
per container
no wait
fuck
i forgot
the
so what da answer
its for one hexagonal base
for surface area
the answer for sa is 36
so 20.78 + 36 = 56.78
ok
thats not how life works.
Result:
20724.7
,rotate
is that better
I ALWAYS DO THE RIGHT CALCULATIONS
what happened
this time
maybe typo
wait
yes
its 724
replace it with the 20724.7
is it right rachit
hm yea
wait
$\text{Area of one triangle} = \frac{1}{2} \times \text{base} \times \text{slant height}$
'Rachit
hacker
$\text{Total Area of Triangles} = 4 \times \left( \frac{1}{2} \times 2 \times \sqrt{\left(\frac{2}{2}\right)^2 + 3^2} \right)$
fuck
is it right?
i dont knwo
helpers
<@&286206848099549185>
dont kick me
i need this to be done
can i copy that
this is the slant height
why 3^2
put it into the area of triangle formula
height = 3
ok noted
height = 5
then put 5
okok
shit image quality
no
yeah its 5
iphone 13 pro max
ok put 5
did i ask
sorry
root(26)
then the area of triangle would be
1/2x2xroot(26)
whatever that is
then 2 would cancel 2
so its 4*root(26) cus of 4 sides
triangles*
then sum 4*root(26) and area of base = 4
u get per container
SA= 4
yes
no
.
wait
Pls help 😟
so whats the total surface area for a year
do the maths
is it 112?
20.39607805
are u sure
use the .calc cmd
.calc root(69)
whats the cmd
,calc root(69)
The following error occured while calculating:
Error: Undefined function root
undefined
,calc sqrt(69)
Result:
8.3066238629181
no
what