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Apparently only posting the image is not allowed. So welcome to my 2nd puzzle here. I hope this one is a little tougher.

enter image description here

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The number you're looking for is:

0.25

The reasoning is:

0.5 is the sine of 30 degrees
That sine wave and thermometer are in a square, so 0.5 squared is 0.25

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  • $\begingroup$ I'm not sure I understand the logic before why it is being squared. Sid's answer makes much more sense to me... $\endgroup$ – Chris Jan 20 '18 at 21:37
  • $\begingroup$ @Chris - the curve is that of a sine function, the thermometer shows 30 degrees, and the value of sin(30°) = 0.5. Same reasoning as Sid upto this point, really. $\endgroup$ – Phylyp Jan 20 '18 at 22:48
  • $\begingroup$ Yeah. I'm just not sure why you then square it? There are no squares in the puzzle that I can make out. You just have a function and a value, you apply the function to the value and you get an answer which is what sid gave. I just don't understand where the square comes in. $\endgroup$ – Chris Jan 21 '18 at 0:19
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    $\begingroup$ See the square border around the sine wave and thermometer? They are enclosed in a square, i.e. they are "squared". $\endgroup$ – Phylyp Jan 21 '18 at 0:21
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    $\begingroup$ Ah! Despite how many times I looked at it my brain filtered that our because it was just the frame, obviously! :) Many thanks for taking the time to explain. :) And apologies also because I see you did write that too. I have no idea how I missed that. I blame the fact it is late here. :) Sorry! $\endgroup$ – Chris Jan 21 '18 at 0:22
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I sure hope there is something clever in this. But, the most obvious thing that comes to mind is:

1/2. Because the graph is of Sin x and the "test-tube" is filled upto 30 degrees. So, Sin 30 =1/2.

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    $\begingroup$ That is part of the answer but not the final result. $\endgroup$ – infinitezero Jan 20 '18 at 12:12
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Might be

The sine of 30 degrees is 1/2 and half of the vessel equals 70/2=35 degrees.

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