Ahose fills a tank at rate of 30 gallons per minute. what is rate in liters per hour. 1 gallon=3.79 liters

If it fills 30 galons per minute, that means that it fills 30*60 minutes = 1800 gallons per hour.

We know that 1 gallon = 3,79 liters, so 1800 gallons per hour = 1800 * 3,79 liters = 6822 liters per hour.

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: