anonymous
  • anonymous
|dw:1328069828540:dw| The perimeter of the triangle shown is 370 meters. Find the length of each side. __meters,__meters, and __meters (type in integers or decimals, Use Ascending order)
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1328070090110:dw|
anonymous
  • anonymous
Hi jmallis, so can I assume that this is a right triangle?
anonymous
  • anonymous
No looks more like|dw:1328070313875:dw|

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anonymous
  • anonymous
Got it, so, do you know how to set up your equation? We know the perimeter is 370 meters, so how do you think we'd set that up?
anonymous
  • anonymous
370= 5x+ x +(6x-2)?
anonymous
  • anonymous
Great job! So, now you can get rid of the parentheses (it's not relevant in addition) and add your factors.
anonymous
  • anonymous
\[5x + x + 6x -2 = 12x -2 = 370\]
anonymous
  • anonymous
Does that make sense? So now you just have an equation with: \[12x - 2 = 370\]
anonymous
  • anonymous
Ok makes sense so far.
anonymous
  • anonymous
Great, so do you know how to solve that equation you have left?
anonymous
  • anonymous
This is what I do not understand.
anonymous
  • anonymous
Ok, do you have much experience with algebra?
anonymous
  • anonymous
Here and there.
anonymous
  • anonymous
You plus 2 from 270?
anonymous
  • anonymous
370*
anonymous
  • anonymous
Exactly! You add 2 to 370. So now you have: \[12x = 372\]
anonymous
  • anonymous
You know the next step?
anonymous
  • anonymous
12x/12= 372/12?
anonymous
  • anonymous
Brilliant, way to go - so 372 / 12 = 31. Which is your X
anonymous
  • anonymous
x=31
anonymous
  • anonymous
So now what you need to do is put that x back into your three lengths from the original triangle, put em in order, and voila - you've got your answer
anonymous
  • anonymous
In order meaning smallest to largest?
anonymous
  • anonymous
Correct - you can put what you get here if you want so I can make sure I'm getting the same thing
anonymous
  • anonymous
5, 155, 184 ?
anonymous
  • anonymous
Well, let's go through them. You have 3 separate lenghts: x, 5x, and 6x-2. So, replace X with 31 for all of these
anonymous
  • anonymous
Hint: You got the second two right ;)
anonymous
  • anonymous
darn it 31
anonymous
  • anonymous
Haha, no worries. And great job jmallis - appreciate you sticking in there and getting it. Great work!
anonymous
  • anonymous
Thanks
anonymous
  • anonymous
Can you help me with another problem I only have like 9 minutes battery life on my laptop. Lakeview is 85 miles from Springfield. Irania must go to the law library in Springfield to get a document for the law form for which she works. Find how long it takes her to drive round trip if she averages 54 mph. Takes approximately __ hours and __minutes
anonymous
  • anonymous
Ok, so - 54 mph. So, take the total mileage (85 miles) and divide that by 54 mph. That gives you the approximate time to get there. REMEMBER though that this is one-way, you need to multiply your answer by 2 to get the round trip. Hopefully you get this in time...
anonymous
  • anonymous
so whats hours and minutes? and thank-you again
anonymous
  • anonymous
hey, so the key is that when you divide, you'll come up with a decimal. You need to multiply that decimal by 60 - in order to give you the mins

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