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Mathematics 14 Online
OpenStudy (cutiecomittee123):

Help me with law of sines.

OpenStudy (cutiecomittee123):

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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

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)

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):

\[\frac{b}{\sin(45)}=\frac{12}{\sin(52)}\]

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?

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.

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

OpenStudy (cutiecomittee123):

alrighty

OpenStudy (anonymous):

i think i got a slightly different answer hold on

OpenStudy (anonymous):

i got about \(10.77\)

OpenStudy (cutiecomittee123):

oh well I may have roudned weird becuase it came out to be 10.18966 so I rounded to 10.19

OpenStudy (cutiecomittee123):

hmm let me try again

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

i just use wolfram as you can see above easier than a calculator

OpenStudy (cutiecomittee123):

Yep I got that same answer. I forgot to put the numerator and denominator in parenthesis when entering it in to my calculator

OpenStudy (anonymous):

ok now you know how to do this with no agony right? set up the ratio, multiply by the denominator

OpenStudy (cutiecomittee123):

Yeah I think I can do the rest on my own, if not Ill try another thread AGAIN lol

OpenStudy (cutiecomittee123):

Do you actually want to help me with one more, this time its a word problem and I basically just need help with placement. @satellite73

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