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OpenStudy (cutiecomittee123):
|dw:1450151041694:dw|
OpenStudy (anonymous):
bet you can do this one on your own
OpenStudy (anonymous):
let me know what you get, i will check it
just fill in the answers
OpenStudy (cutiecomittee123):
Yeah, I am basically doing these so that I can get practice and check my answers with others.
Anyways I tried so far and I got 12/sin52=b/sin45
b=12sin52/sin45
b=11.5
OpenStudy (anonymous):
ok i see the problem
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OpenStudy (cutiecomittee123):
did i do it backwards again?
OpenStudy (anonymous):
it is a basic algebra issue
how would you solve \[\frac{x}{7}=8\]?
OpenStudy (cutiecomittee123):
multiply both sides by 7
OpenStudy (anonymous):
right
and how would you solve \[\frac{x}{\sin(45)}=8\]?
OpenStudy (cutiecomittee123):
same concept, multiply both sides by sin(45)
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OpenStudy (anonymous):
right
so you have to solve \[\frac{b}{\sin(45)}=\text{something}\]what do you do? answer
multiply by \(\sin(45)\) you always multiply by the denomator
OpenStudy (cutiecomittee123):
this is true
OpenStudy (anonymous):
even if that something on the right is a fraction, makes no difference
OpenStudy (cutiecomittee123):
so then just 12/sin(52)((sin(45))
OpenStudy (anonymous):
\[\frac{b}{\sin(45)}=\frac{12}{\sin(52)}\]
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OpenStudy (anonymous):
yes, but of course multiply means multiply in the numerator, not denominator
OpenStudy (anonymous):
so \[b=\frac{12}{\sin(52)}\times \sin(45)=\frac{12\times \sin(45)}{\sin(52)}\]
OpenStudy (anonymous):
you got that ?
OpenStudy (cutiecomittee123):
hold on, I just has to go do a few chores
OpenStudy (cutiecomittee123):
why would we mulitply the numerator?
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OpenStudy (anonymous):
what is \[5\times \frac{4}{3}\]?
OpenStudy (cutiecomittee123):
25/3? yikes I am not the best with fractions
OpenStudy (cutiecomittee123):
20/3 I mean
OpenStudy (anonymous):
yes
what did you do?
answer: you multiplied the numerator by 5
OpenStudy (cutiecomittee123):
ohh gotcha.
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OpenStudy (cutiecomittee123):
so its 12(sin(42)/sin(52)
OpenStudy (anonymous):
yes
OpenStudy (cutiecomittee123):
b=10.19
OpenStudy (anonymous):
you want me to check?
OpenStudy (cutiecomittee123):
yes please
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