Answer:
Step-by-step explanation:
let they travel the distance between them alone
d = common distance traveled by both motorcycle and car = 540 miles
= time taken by motorcycle to travel distance between them
= speed of the motorcycle = 48 mph
time taken by motorcycle to travel distance between them is given as
= d/
=540/48
= 11.25 h
= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h
= speed of the motorcycle
speed of motorcycle is given as
= d/
= 540/9
= 60 mph
when the car and motorcycle move towards each other, the relative speed is given as
v =
+
v = 60 + 48
v = 108 mph
t = time taken to meet
Time taken to meet is given as
t = d/v
t = 540/108
t = 5 h
Assuming that X represents the number of hours worked and f(x) the number of cars washed, the equation would be f(x)=11x+14x.
The 11x represents the number of cars washed by Arianna in x number of hours and the 14x represents the number of cars washed by Matthew in x number of hours. You add the two because they are each washing their own car at their own pace but working on one lot.
Answer:
The top of the pole is approximately <u>13 feet</u> high up the tree.
Step-by-step explanation:
The diagram for the given scenario is shown below.
From triangle ABC, A is the top of pole and B is the bottom of pole.
AC is the height of tree. BC is the distance of the bottom of pole from the tree.
Given:
AB = 15 ft, BC = 8 ft
To find:
AC = ?
Since triangle ABC is right angled triangle, we apply Pythagoras Theorem to find the unknown side. So,

Therefore, the height of the tree is approximately 13 ft.
Answer:
Each side is 8.55
Step-by-step explanation:
The perimeter of a square is given by
P =4s
34.2 = 4s
Divide each side by 4
34.2 /4 = 4s/4
8.55 = s
Each side is 8.55