Joshua is planning on 1404 miles driving trip his car gets an average of 36 miles per gallon the cost of gas is about $3.72 per gallon what is the approximate driving cost of the trip

Hence, his driving cost of the trip= $ 145.

Step-by-step explanation:

It is  given that:

Joshua is planning on 1404 miles driving trip.

His car gets an average of 36 miles per gallon.

i.e. for 36 miles his car uses 1 gallon of gas.

Hence for 1 mile his car uses=1/36 gallon of gas.

Hence, for 1404 miles his car uses=1404/36 gallon of gas

                                                         = 39 gallons.

Cos of 1 gallon of gas= $ 3.72

Cost of 39 gallons of gas=$ (3.72×39)=$ 145.08

which is approximately equal to $ 145.

Hence approximately his driving cost of the trip is $145.

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