Skies travel charges two-fifty for a plane ticket and $28 per day for rental car. For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental. What is the minimum number of days in martin's vacation should be or r&r travel to be a better deal for him?

Given :

Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.

For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.

To Find :

The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.

Solution :

Let, minimum number of days are x.

So, cost charged by Skies travel is,

Cost charged by r&r travels is,

r&r should be better deal when :

So, for better deal at r&r minimum number of vacation days is 57.

Hence, this is the required solution.

step-by-step explanation: step 3 should really go to step seven, but anyway never mind.

1 ∠oln ≅ ∠lno

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