+1093 What do you know, another guest that is trying to get past his\her unit homework....but this does not make sense...isn't it summer break? Anyways, you asked for help, so here are the things you must do to accept the help in return.
1. CLOSELY follow my steps
2. Solve the bottom yourself. (answer by replying to my answer)
If you have done these steps, congrats, you are not a cheat. If you have not, then it is either that you have not seen my answer yet, or you just want the answer and leave without learning.
Anyways, the answer starts here:
Assuming you are in precalculus (im not sure how to help you if you are not), we can use the Law of Cosines
This is where c is opposite from angle C, a is opposite from angle A, and so on. USE THIS ONLY IF YOU HAVE MORE SIDES THAN ANGLES. IF YOU HAVE MORE ANGLES THAN SIDES, USE LAW OF SINES.
(yikes, im starting to sound like a privacy policy)
Anyways, just because the length we are looking for is called a, does not mean that it is a. It would be a whole lot easier if the line was "c", as the angle would correspond, so let that just be true.
According to the law of cosines, our equation is now:
c2 = 122 + 152 - 2(12)(15)(cos(110))
c2 = 144 + 225 - 360(cos(110))
c2 = 369 - 360(cos(110))
Sadly, cos(110) is not a nice number, but since this is a question, we should just round, unless you can tell me below whether rounding is or is not aloud, same with calculators.
c = sqrt(369 - 360(cos(110)))
c ~ 22.183941... ~ 22
Therefore, c is around 22
:)
+1093 What is a square minus two triangles?
No, it's not this super adorable bunny 
It's the question you posted!
As you see, your question is just a 10 x 10 square minus two right triagles! (which, may I tell you, is the exact inverse of a bunny! about inverse functions, though it is not needed at all to solve this problem)
Anyways, we now need to solve or the area of the two triangles and the area of the 10 x 10 square.
10 x 10 square:
This is simple. It literally says "10 by 10". Which means, we multiply 10 by 10. See, sometimes english is so literal that it makes life easier.
10 x 10 = 100
Two triangles:
What do two triangles make? Here is a list of answers:
- full grilled cheese
- a diamond
- an abstract house
- a skateboard ramp
- a pair of super fasionable high heels
You see, the list is endless. But, the answer we are looking for is "a rectangle". (See? I've bolded it for your conveniance)
So, how does that simplify anything? Well, instead of dividing by 2, we can just multiply base x height. Easy :P
Base x Height = 5 x 2 <------ got 2 by (10 - 6)/2
= 10
Anddd.... we've got the answer! Or have we....yet...
All we need to do is subtract (or add, if you want a cute pet bunny, but that won't help in this case)
100 - 10 = ?
Or, are you too lazy to solve all those very simple steps that I solved in less than a minute? Then....what should you do? Well, here is a tip:
" For those who are too lazy to solve 100 - 10, this is for you. Instead of doing math to solve a math problem, go to your nearest Pet Co. shop and buy a bunny. Then, find a way to 'inverse' it's ears. There, you got a demented bunny AND a solved math problem. 2 in 1 package! "
hopefully, you don't follow that tip, and HAVE ENOUGH energy to solve 100 - 10, so that you could save the life of a poor bunny. like the one shown above.
:)
