Question

@KeithAfasCalcLover help

Answer 1

@KeithAfasCalcLover

Answer 2

Hey

Answer 3

Ok one second...

Answer 4

please hurry

Answer 5

Alright. You notice how in the picture, Comparing the most outers quare no the next square inside, they form a triangle?

Answer 6

ok.. ya

Answer 7

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:
\[S_2=\left(\frac{S_1}{2}\right)^2+\left(\frac{S_1}{2}\right)^2=2\left(\frac{S_1}{2}\right)^2=2\frac{(S_1)^2}{4}=\frac{(S_1)^2}{2}\]

Answer 8

The same would be for the side of the fifth square:
\[S_5=\left(\frac{S_4}{2}\right)^2+\left(\frac{S_4}{2}\right)^2=2\left(\frac{S_4}{2}\right)^2=2\frac{(S_4)^2}{4}=\frac{(S_4)^2}{2}\]

Answer 9

what is the answer then?

Answer 10

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 \(S_1\)

Answer 11

SO:

Answer 12

ok I am confused what is the final answer they are looking for????

Answer 13

\[S_5=\frac{(\frac{(\frac{(\frac{(S_1)^2}{2})^2}{2})^2}{2})}{2}\]

Answer 14

is it 3,14,10 or 5 ??

Answer 15

@KeithAfasCalcLover ?????^^

Answer 16

wait like a minute.

Answer 17

5. Haha...Am I right?

Answer 18

what is the exact value of 3sqrt 5^x ??

Answer 19

@KeithAfasCalcLover ^^

Answer 20

What is x?

Answer 21

nothing

Answer 22

you have to find x

Answer 23

Is the function:
\[1.\phantom{spce} 3(\sqrt{5})^x\]
or\[2.\phantom{spce} 3\sqrt{5^x}\]

???

Answer 24

Which one?