anonymous
  • anonymous
@KeithAfasCalcLover help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
@KeithAfasCalcLover
anonymous
  • anonymous
Hey

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anonymous
  • anonymous
Ok one second...
anonymous
  • anonymous
please hurry
anonymous
  • anonymous
Alright. You notice how in the picture, Comparing the most outers quare no the next square inside, they form a triangle?
anonymous
  • anonymous
ok.. ya
anonymous
  • anonymous
Lets say that the side of the first square is \(S_1\). And the side of the next inner square is \(S_2\) and so on and so forth? Then the length of the second square is: \[S_2=\left(\frac{S_1}{2}\right)^2+\left(\frac{S_1}{2}\right)^2=2\left(\frac{S_1}{2}\right)^2=2\frac{(S_1)^2}{4}=\frac{(S_1)^2}{2}\]
anonymous
  • anonymous
The same would be for the side of the fifth square: \[S_5=\left(\frac{S_4}{2}\right)^2+\left(\frac{S_4}{2}\right)^2=2\left(\frac{S_4}{2}\right)^2=2\frac{(S_4)^2}{4}=\frac{(S_4)^2}{2}\]
anonymous
  • anonymous
what is the answer then?
anonymous
  • anonymous
So we can make a chain of equations or stating that: \(S_5=\frac{(S_4)^2}{2}\), but \(S_4=\frac{(S_3)^2}{2}\) and so on and so forth all the way to \(S_1\)
anonymous
  • anonymous
SO:
anonymous
  • anonymous
ok I am confused what is the final answer they are looking for????
anonymous
  • anonymous
\[S_5=\frac{(\frac{(\frac{(\frac{(S_1)^2}{2})^2}{2})^2}{2})}{2}\]
anonymous
  • anonymous
is it 3,14,10 or 5 ??
anonymous
  • anonymous
@KeithAfasCalcLover ?????^^
anonymous
  • anonymous
wait like a minute.
anonymous
  • anonymous
5. Haha...Am I right?
anonymous
  • anonymous
what is the exact value of 3sqrt 5^x ??
anonymous
  • anonymous
@KeithAfasCalcLover ^^
anonymous
  • anonymous
What is x?
anonymous
  • anonymous
nothing
anonymous
  • anonymous
you have to find x
anonymous
  • anonymous
Is the function: \[1.\phantom{spce} 3(\sqrt{5})^x\] or\[2.\phantom{spce} 3\sqrt{5^x}\] ???
anonymous
  • anonymous
Which one?

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