Answer
$c\approx3.25$
Work Step by Step
From the law of cosines,
$c^{2}=a^{2}+b^{2}-2ab\cos C$
$= (3.0)^{2}+(4.0)^{2}-2(3.0)(4.0)\cos 53^{\circ}$
$=10.5564394$
$c=\sqrt {10.5564394}\approx3.25$
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