Jamie can work no more than 20 hours a week this summer. She needs to earn at least $256 a week to save enough for a car before school starts. She makes $6 an hour babysitting and $16 an hour cleaning houses. Graph the system of inequalities that models the situation. Let x be equal to hours spent babysitting and y be equal to hours spent cleaning houses. Excluding the boundaries, place a point inside the region of the graph that satisfies the system.

yor answer is 7/6 times 5

step-by-step explanation:

c. 6tan80

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

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