Find the maximum number of children to whom 30 sweaters and 45 trousers can be equally divided. Also find out how many sweaters and trouser will each of them get

15 children can divide them with eachother, each get 2 sweaters and 3 trousers

Step-by-step explanation:

15×2=30

15×3=45

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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answer:      

step-by-step explanation: