Alex is renting a kayak from barry’s boots, who charges $7.49 per hour plus an initial rental fee. for 2 hours it will cost him $35.18. what is the initial fee alex will pay?

In this question, we're trying to find the initial fee.

We know that the kayak has an hourly charge of $7.49 + a 1 time initial fee.

He rents the kayak for 2 hours.

He pays a total of $35.18

Lets turn this into an equation:

35.18 = 7.49(2) + x

In this case, we're trying to find "x" (x = initial fee)

Solve the equation:

35.18 = 7.49(2) + x

35.18 = 14.98 + x

Subtract 14.98 from both sides

20.2‬ = x

This means that the initial fee was $20.20

$20.20‬

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