45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.

37.5 mL

Step-by-step explanation:

If x is the volume of water, then:

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

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

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step-by-step explanation: