Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = ; y = 20 sin 45 ; y= 14.14 miles
cos 45 = ; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
=
+
= +
= 3131.08
=
z = 55.96 miles
Answer:
Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.
Step-by-step explanation:
Given:
Weight of 1 horse = 1,200 lb
Weight of trailer = 2,700 lb
Jacks'truck can tow a maximum of 5000 pounds.
To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.
Solution:
Let the maximum number of horses that Jack can take be =
Using unitary method to find weight of horses.
If 1 horse weights = 1,200 lb
Then horses will weight in lbs =
Total weight of horses and trailer in lbs =
Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:
Subtracting both sides by 2700.
Dividing both sides by 1200.
From the inequality solution for , we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.