The office manager of a small office ordered 180 packs of printer paper. Based on average daily use, she knows that the paper will last about 40 days. How many packs of printer paper should the manager
expect to have after 35 days?

22.5 packs of printer paper

Step-by-step explanation:

180/40 = 4.5

at a use of 4.5 per day over a period of 35 days, you have used 157.5

180-157.5 = 22.5

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