The manager of a football team is keeping track of the yards gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?

8496 cars

step-by-step explanation:

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

n=1.75+1.75

step-by-step explanation:

3.5/2=1.75