Apark charges $12 for one round of miniature golf and a reduced fee for each additional round played. if tom paid $47 for 6 rounds of miniature golf, what is the reduced fee for each additional round played? show your work.

$7

Step-by-step explanation:

Given :A park charges $12 for one round of miniature golf and a reduced fee for each additional round played.

To Find :If Tom paid $47 for 6 rounds of miniature golf, what is the reduced fee for each additional round played? Show your work.

Solution :

Charge for 1 round = $12

A reduced fee for each additional round played.

Let the reduced fee be x

So, f(1)=12

f(2)=12+x

f(3)=12+2x

f(4)=12+3x

f(5)=12+4x

f(6)=12+5x

We are given that  Tom paid $47 for 6 rounds of miniature golf

So,

Hence the reduced fee for each additional round played is $7

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: