Ataxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles m and the total cost of the ride c. what is the charge for a 2.7-mile ride?

2.83 dollars

Step-by-step explanation:

Fixed charges made by the taxi company for a ride =

Additional charge for each mile travelled =

Hence equation for cost is given by

where m is thenumber of miles travelled.

To find out the charge for a 2.7 mile ride substitute m = 2.7

Total cost for 2.7 mile ride is 2.83 dollars

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

if e is the midpoint of bd, then bd is 14.

step-by-step explanation: