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Mathematics 17 Online
OpenStudy (anonymous):

Please help, i will award medals. Question is below.

OpenStudy (anonymous):

OpenStudy (anonymous):

@bahrom7893

OpenStudy (bahrom7893):

Ok Sin45 = 7/x x=7/(Sin45) Tan45 = 7/y y=7/Tan(45)

OpenStudy (anonymous):

wouldnt you use hypotenuse =√2 * leg?

OpenStudy (anonymous):

can you help me with that way? hypotenuse =√2 * leg?

OpenStudy (anonymous):

bahrom?

OpenStudy (anonymous):

@uri

OpenStudy (bahrom7893):

@Mertsj

OpenStudy (anonymous):

Yes, that equation, as well as the trigonometric solution, should both work out and give you the same result. Since the sum of the angles of a triangle is always 180, you know the missing angle is 45. So y=7 since it is opposite a 45 degree angle, it must be equal to the other side opposite the same angle. Now that you have the two legs, you know that in a 45-45-90 triangle the hypotenuse is rad2 times the leg (you can also use the Pythagorean Theorem. You'll get the same result)

OpenStudy (mertsj):

That is an isosceles right triangle. In these cases, the legs are congruent, and the hypotenuse is the leg multiplied by the square root of 2.

OpenStudy (mertsj):

So in this particular problem: \[y=7 \] \[x=7\sqrt{2}=7(1.414)=9.9\]

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

ok.

OpenStudy (anonymous):

so its 9.9?

OpenStudy (anonymous):

@Mertsj ?

OpenStudy (mertsj):

\[x=7\sqrt{2}=7(1.414)=9.9\]

OpenStudy (anonymous):

i am so confused.

OpenStudy (mertsj):

What are you confused about?

OpenStudy (anonymous):

the answer, is it x = 7√2 = 7(1.414) = 9.9? or is it 9.9

OpenStudy (mertsj):

Do you notice the equal signs between those numbers?

OpenStudy (anonymous):

mertsj, im not very smart. and yes i do.

OpenStudy (mertsj):

What do those equal signs mean?

OpenStudy (anonymous):

it means their the same? but what is the same? 7√2 = 7(1.414) and 9.9?

OpenStudy (mertsj):

Yes. those numbers are the same number but they are in different forms. What form does your problem say you should use?

OpenStudy (anonymous):

radical form.

OpenStudy (anonymous):

so the answer is 7√2 = 7(1.414)

OpenStudy (mertsj):

I guess I'm having trouble reading because I thought it said "write your answers as integers or decimals rounded to the nearest tenth."

OpenStudy (anonymous):

oh poop, wrong problem.

OpenStudy (anonymous):

ty.

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