Katie earns $12 an hour. Which graph represents the relationship between the number of hours Katie works and her earnings, in dollars?

first top left graph? 12×4 is 48 so that puts it about right

Top left graph

Step-by-step explanation:

Bottom left graph says she earns $10/hour, other right side graphs are just not even close, so the top left is the solution because it is over the $10/hour mark and has accurate numbers.

1. supplementary angles

2. acd and bcd

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