Summet uses 0.4 gallon of gasoline each hour

1.68 gallons.

Step-by-step explanation:

So, without mincing words let's dive straight into the solution to the problem above. We are given from the question that the person that is Summet make use of gasoline to mow lawns and the amount of gasoline that Summet uses per hour = 0.4 gallon.

If Summet uses 0.4 gallon of kerosene in 1 hour. Then, Summet will use x gallons of gasoline in 4.2 hours, that is:

0.4  > 1 hour.

x > 4.2 hours. Then,

x = 4.2 × 0.4 = 1.68 gallons of gasoline.

Hence, Summet uses 1.68 gallons of gasoline in 4.2 hours.

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

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.