A family wants to rent a car to go on vacation. Company A charges $30.50 and 10¢ per mile. Company B charges $55.50 and 18¢ per mile. How much more does Company B charge for x miles than Company A?

$25 and 8 cents more

Step-by-step explanation:

55.50 - 30.50 = 25

18 - 10 = 8

irrational, cannot

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west