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Mathematics 18 Online
OpenStudy (anonymous):

help please

OpenStudy (anonymous):

With?

OpenStudy (anonymous):

OpenStudy (campbell_st):

well you can use the law of cosines to check do you know how to use it..?

OpenStudy (anonymous):

no i dont :(

OpenStudy (jennyrlz):

sec let me see what i can remeber :)

OpenStudy (anonymous):

k

OpenStudy (anonymous):

http://mathworld.wolfram.com/LawofCosines.html

OpenStudy (anonymous):

im to lazy to draw the abc triangle lol, but that explains the law of cosines well

OpenStudy (campbell_st):

the law of cosines says \[Cos(A) = \frac{b^2 = c^2 - a^2}{2bc}\] does that help

OpenStudy (campbell_st):

you have a = 5.3, b = 7 and c = 4... plug them in and post the answer you get

OpenStudy (campbell_st):

oops should read \[\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}\]

OpenStudy (jennyrlz):

^

OpenStudy (anonymous):

oh wait is it true?

OpenStudy (jennyrlz):

ill leave it to him, he knows what he is doing :)

OpenStudy (jennyrlz):

oh he left...

OpenStudy (jennyrlz):

well why do you think it is true?

OpenStudy (jennyrlz):

he did the "hard" part the rest is algebra

OpenStudy (campbell_st):

well you need to find the angle measure using the law of cosines to see if its true or not

OpenStudy (campbell_st):

an alternative solution is to google a triangle solver put in the 3 sides and then look at the angles that are calculated

OpenStudy (anonymous):

which law of cosine should i use

OpenStudy (jennyrlz):

if only i wouldve thought of this when i was taking pre-calc...

OpenStudy (campbell_st):

use the one I posted above

OpenStudy (anonymous):

how do i use it....do i sub

OpenStudy (campbell_st):

and look for the measures that match the labels a, b and c

OpenStudy (campbell_st):

a = 5.3 b = 7 and c = 4 like this \[cos(\theta) = \frac{7^2 + 4^2 - 5.3^2}{2 \times 7 \times 4}\]

OpenStudy (anonymous):

doin the math.....

OpenStudy (anonymous):

\[\cos \theta \frac{ 49+16-28.09 }{66 }\] thats what i have so far

OpenStudy (anonymous):

is it right

OpenStudy (anonymous):

so far

OpenStudy (campbell_st):

well I think the denominator is 56

OpenStudy (campbell_st):

2 x 4 x 7 = 56

OpenStudy (anonymous):

oh yea

OpenStudy (anonymous):

wait so it is true?

OpenStudy (campbell_st):

not yet, if you do the calculation you'll find \[\cos(\theta) = 0.659107\] so to find the angle, using a calculator its \[\theta = \cos^{-1}(0.659107)\]

OpenStudy (anonymous):

i got 0.79053943 ? how do i punch this equation in a calculator

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