Evaluate 10 m +\frac {n^2}410m+ 4 n 2 10, m, plus, start fraction, n, start superscript, 2, end superscript, divided by, 4, end fraction when m=5m=5m, equals, 5 and n=4n=4n, equals, 4.

Evaluate the expression where m=5  and n=4

We replace the value of m and n  to evaluate

m=5  and n=4

50 + 4 = 54

The value of the given expression is 54 when m=5  and n= 4

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)