anonymous
  • anonymous
a flea is 0.2 cm long. as it walks across the glass surface of an overhead projector, its image on the screen appears to be 4cm long. what is the scale factor of the dilation? if the flea jumps 10cm across the glass surface, how far does its image jump across the screen?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
if you are 3 feet tall and your shadow is 9 feet tall, by what factor is your shadow larger than you?
anonymous
  • anonymous
3?
anonymous
  • anonymous
yes, so your shadow is 4 times as big as you. so the scale factor between you and your shadow is 1:3

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anonymous
  • anonymous
1:3 means " one is to three". so if one is to three, then 10 is to ?
anonymous
  • anonymous
so for the first part of the problem it would be 1:2 and the second it would be 2:1?
anonymous
  • anonymous
no no. If you are 0.2 feet tall and your shadow is 4 feet tall, what is the scale factor?
anonymous
  • anonymous
4/.2 = 20?
anonymous
  • anonymous
yes. so the scale factor between the projected image and the actual flea size is 20:1
anonymous
  • anonymous
note that if you say the scale factor of the flea size to the projected image, it would be 1:20
anonymous
  • anonymous
so be careful. the scale factor is a relative term. It depends on whether you are comparing the magnified object to the actual object or the other way round.
anonymous
  • anonymous
what about if the flea jumps 10cm across the glass surface, how far does its image jump across the screen?
anonymous
  • anonymous
okay so we have established that the scale factor to the projected image is 20 times the actual size.
anonymous
  • anonymous
20x10?
anonymous
  • anonymous
so if the flea actually jumps 10 cm, yes, it jumps 20X10 = 200 cm on the screen.
anonymous
  • anonymous
good job.
anonymous
  • anonymous
how would you explain your reasoning?
anonymous
  • anonymous
I just did in detail.
anonymous
  • anonymous
thankyou hb what is the distance between a point and its image after the translation (x,y) --> (x+7, y-5) ?
anonymous
  • anonymous
http://www.purplemath.com/modules/distform.htm

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