1.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?
2.What's the only place in this world who's Fahrenheit and Celsius degrees can be equal?
3.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?
Answers
Step-by-step explanation:
1. Let humans be x and horses be y
Both have one head each,so x+y=74 (1)
Humans have 2 legs each and horses 4 legs each…… so 2x+4y=196 (2)
In first equation x+y=74 then y=74~x (3) ……… .By solving both equations we have as under… x+3y=122 x=122-3y (4)…. Now in equation 4 we put the value of y taken from equation 3 so it will be x=122~3(74-x)…. x=122-222+3x…………. bringing x on one side x-3x=122~222 therefore -2x=~100….. x=50… put the value of x in first equation… x+y=74… 50+y=74… y=74~50…..… y=24… Now it is concluded that Humans are 50 and Horses are 24.. Now you put the values of x & y in 1st and 2nd equation … you will get x+y=74.. 50+24=74………..2x+4y=196…2×50+4×24=196.. it is proved thru equation.
2. There is only one temperature that is the same in both Fahrenheit and Celsius, but that temperature can occur at more than one spot on Earth's surface. Degrees Celsius = (1.8 x Degrees Fahrenheit) + 32. Degrees Celsius = (1.8 x -40) + 32 which becomes -72 + 32 which is -40.
3.I can't be sure of the grouping of operations here, but I'll make a guess.
3–√2√3–√−2√
3–√2√−2√
3–√0
1
Cunning observers will notice that this is all right for purely real values, but becomes nastier for complex values. The result can be any of the countably many values of 12√ , which are dense on the unit circle |z|=1 .
For other domains, other rules apply.
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Answer:
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