Please answer with clear instructions so that i can apply this to to other questions

25 days

Step-by-step explanation:

If 6 men each work for 5 hours a day:  6 x 5 = 30 hours of work per day

If it takes them 50 days to build the house, then 30 x 50 = 1500 hours work in total to build the house.

If 10 men are working 6 hours a day each:  10 x 6 = 60 hours of work per day.

So 1500 ÷ 60 = 25 days

Therefore, it would take 10 men 25 days to build a house if they were each working 6 hours per day.

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°

hope this