Find the length of side xx in simplest radical form with a rational denominator.

Solution given:

Relationship base and hypotenuse is given by Cos angle

Now

Cos 60°=adjacent/hypotenuse=x/12

1/2=x/12

x=12/2

x=6

the value of x is 6.

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step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.