Roberto is an insurance agent who sells two types of
policies: a $50,000 policy and a $100.000 policy. Last
month, his goal was to sell at least 57 insurance
policies. While he did not meet his goal, the total
value of the policies he sold was over $3,000,000.
Which of the following systems of inequalities
describes x, the possible number of $50,000 policies,
and y, the possible number of $100,000 policies, that
Roberto sold last month?

step-by-step explanation:

i hate black

do you have a picture of the table

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