If sin(A)=513\sin(A) = \frac{5}{13}sin(A)=135 and cos(B)=45\cos(B) = \frac{4}{5}cos(B)=54, where both AAA and BBB are acute angles, what is the value of sin(A+B)\sin(A+B)sin(A+B)?
5665\frac{56}{65}6556
3365\frac{33}{65}6533
6365\frac{63}{65}6563
1665\frac{16}{65}6516