Astudent walks 5.00 m at an angle of 53.0° then walks another 8.00 m at angle of 130°. what is the magnitude of the student's final displacement?

10.35 m

Explanation:

d1 = 5 m at angle 53 degree

d1 = 5 (Cos 53 i + Sin 53 j) = 3 i + 4 j

d2 = 8 m at an angle 130 degree

d2 = 8 (Cos 130 i + Sin 130 j) = - 5.14 i + 6.13 j

Total displacement = d = (3 - 5.14) i + (4 + 6.13) j = - 2.14 i + 10.13 j

magnitude of displacement = = 10.35 m

their claim about cheating existing in high-incentive situations

the facts they present about sumo and the bagel business

their use of statistical evidence

their use of different examples (sumo and bagels) in their evidence

their overall use of inductive reasoning to arrive at a generalization about morality