To find the value of (2.5 \sin(30^\circ) \cdot 3.25), first, note that (\sin(30^\circ) = 0.5). Therefore, the expression simplifies to (2.5 \cdot 0.5 \cdot 3.25), which equals (1.25 \cdot 3.25 = 4.0625). Thus, the value is (4.0625).
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