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One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?

 

What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power? 

 Jan 7, 2021
 #1
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 x = #horses    74-x = #humans

 

4x = horse legs   2(74-x) = human legs  (assuming everyone has all of thier limbs)

4x + 2(74-x) = 196

4x+148-2x=196

2x=48

x=24 = horses     74-24=humans=50

 Jan 7, 2021
 #2
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(31/2 )sqrt2   *  (31/2)-sqrt2      =   3 (sqrt2)/2  - sqrt(2)/2    =30 = 1

 Jan 7, 2021

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