Coleton just bought a new mp3 player. it has a capacity of 1,000 minutes. he has already downloaded 304 minutes of music. each song he can download is 4 minutes in length. coleton wants to know how many more songs he can download until the mp3 player is full. is 76 songs a reasonable answer?

No 76 is not a reasonable answer. 174 is a reasonable answer.

Step-by-step explanation:

76×4=304

304+304=608

375×4=1500

174×4=696

696×4=2784

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