Datasets:
NationalTutoringObservatory
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MathEd-PII

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volunteer
The first question asks for the X values, and the second question asks for the Y values.
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volunteer
So you just have to type
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volunteer
minus 2 and 3 for the first question, and minus 3 and 0 for the second question. That was it.
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volunteer
Do you understand now?
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student
yes
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volunteer
okay then great job
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volunteer
Do you have any other questions?
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student
no
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volunteer
alright
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volunteer
HI! How can I help you?
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student
hiii
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student
I need help with 5 problems including this one
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volunteer
sounds great! just for some background info, which theorems are you familiar with that you can use for this problem
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volunteer
?
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student
Tangent, Sin, and Cos
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volunteer
can you use law of sines?
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student
no
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volunteer
hmm ok
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volunteer
well
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volunteer
would you like to try using it? It's very simple!
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student
sure
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student
I said no cause SINE = opposite / hypotenuse
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volunteer
ok so basically - it is about how angles correlate with opposite sides
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student
and 8 is adjacent and x = hypotenuse
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volunteer
wait actually you're right - we don't need law of sines?
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volunteer
*!
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volunteer
could you tell me what m<JKL is?
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student
58 deg
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volunteer
close! I meant the upper angle!
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volunteer
yk how all angles in a triangle add up 180
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volunteer
?
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student
would it something like 90 - 58 or somthn like that to find the missing angle
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volunteer
almost!
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volunteer
Since there 180 degrees in a triangle
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volunteer
wait omg I'm so sry we don't need to do that lol
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volunteer
but just for reference the other angle would 180 - (90+58)!
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volunteer
but anyways
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volunteer
you know how
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volunteer
cos is adjacent over hypotenuse?
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student
ok
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volunteer
so we can apply that to the side
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volunteer
do you know what cos 58 would be?
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volunteer
in terms of x and 8?
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volunteer
No problem if you don't - let me know!
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student
let me solve
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volunteer
sounds good!
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student
so it would be Cos (58) = 8/x
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volunteer
yesss
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volunteer
do you have a calculator?
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volunteer
because now that we do that
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volunteer
we have to isolate x
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volunteer
so since you have that equation - could you tell me what x is in terms of cos (58) and 8?
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student
ok hold on
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student
I got this
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student
15.097
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volunteer
yesss
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volunteer
but also
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volunteer
the question is asking for 2 decimal places
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volunteer
so the number is right! but what would it be with just 2 decimal places?
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student
ok hold on
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student
15.10
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volunteer
Awesome!!!!
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volunteer
great job!!!
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student
yayyy!!!
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volunteer
do you want to move on to the next problem?
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student
yes
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volunteer
sounds great!
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volunteer
ok I got it!
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volunteer
so we can use the same method as before
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student
ok
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volunteer
which trig operation could we use regarding 43 degrees?
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student
either tan or sin?
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volunteer
yess
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volunteer
which one do u want to use?
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volunteer
either one is fine
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student
idk
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volunteer
ok well we can use tan!
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volunteer
so that's opposite over adjacent
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volunteer
so what would tan 43 be equal to in terms of 36 and y?
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student
Tan(43) =36/y
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volunteer
yess
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volunteer
so what would y be equal to?
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student
38.60 and rounded two decimal place is 38.6
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volunteer
Right
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volunteer
when u did ur calculation
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volunteer
it should be 38.605
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volunteer
so when u round the 5 up
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volunteer
the 0 becomes one
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volunteer
so it would be 38.61
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volunteer
but great great job u still did it!
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student
ok
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volunteer
and now we can do the same for x
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volunteer
we can use m<QRP which is 90 degrees
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student
wait what
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volunteer
or actually we can still do 43 degees
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volunteer
degrees
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volunteer
because we need to find x
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volunteer
so since it includes x
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volunteer
the hypotnuse
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volunteer
that means that we can use either sin or cos
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