Mohit needs to work 45 hours per week. He has worked 38 7/9 hours so far. How many hours does he need to work on Friday to meet the 45 hours requirement?

6 2/9 hours

Step-by-step explanation:

Take the number of required hours minus the number of hours worked to get the number of hours still needed.

45 - 38 7/9 = 6 2/9 hours

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intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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