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Mathematics 20 Online
OpenStudy (anonymous):

i dont get this very well

OpenStudy (anonymous):

OpenStudy (anonymous):

Tan(2) is just a number. If the program doesn't want an EXACT answer, you can actually use a calculator to see what that number is and plug it in. If they do want an exact answer, just treat the entire thing as a single number. Either way, solve for x as normal. Multiply both sides by x, first.

OpenStudy (anonymous):

Oh, it says "to the nearest tenth," so an exact answer isn't necessary. You can plug in a number for Tan(2), just remember to use at least the hundreths place.

OpenStudy (anonymous):

hmm still a bit confused :/

OpenStudy (anonymous):

Use a calculator. Put in Tan(2) and press enter. It gives you a number. Tan(2) is just a number. We can call it a. \[a = \frac{4}{x}\] Solve for x.

OpenStudy (anonymous):

this is the number i got -2.18503986326

OpenStudy (anonymous):

Your calculator is on radians (you want it in degrees), but you can see that it's just a number :)

OpenStudy (anonymous):

So, if someone gave you the equation: \[a=\frac{4}{x}\] What does x equal?

OpenStudy (anonymous):

i'm not sure :/

OpenStudy (anonymous):

\[a = \frac{4}{x}\] Multiply both sides by x: \[x*a = x * \frac{4}{x} = 4\] Divide both sides by a: \[\frac{ax}{a} = \frac{4}{a}\] \[x = \frac{4}{a}\] Right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Alright. and a = Tan(2) So, we have our answer: \[x = \frac{4}{Tan(2^o)}\] Throw that into a calculator, and you're done! (Make sure your calculator is in degrees. The answer should NOT be negative.)

OpenStudy (anonymous):

-1.83063

OpenStudy (anonymous):

i don't know how to put it in degree mode

OpenStudy (anonymous):

Tan(2) = .0349207695

OpenStudy (anonymous):

how would i round that?

OpenStudy (anonymous):

To the hundredths place, at the most. You can just use it and round the result, as well.

OpenStudy (anonymous):

i need to round it to the nearest tenth

OpenStudy (anonymous):

Right, which you'll do before you put in the answer.

OpenStudy (anonymous):

how would i round it ?

OpenStudy (anonymous):

First, divide 4 by Tan(2). What do you get?

OpenStudy (anonymous):

idk nvm

OpenStudy (anonymous):

\[\frac{4}{Tan(2^o)} = \frac{4}{.0349207695} = 114.5450131\] Round to the tenths place.

OpenStudy (anonymous):

114.5

OpenStudy (anonymous):

There ya go :)

OpenStudy (anonymous):

haha thank you!

OpenStudy (anonymous):

My pleasure :)

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