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mixas84 [53]
3 years ago
7

James bike 5.40 miles Fred bike 9.2 how much farther did James ride then Fred in a fraction

Mathematics
1 answer:
olga55 [171]3 years ago
6 0
3 8/10 of a mile. You subtract 5.4 from 9.2 and get 3.8 and 3.8 in fraction form is 3 and 8/10. 3 8/10 simplyfied is 3 4/5
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The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

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r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

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