Sets l, m, and n are shown. which of the sets represents lu (m n n) (the union of l with the intersection of sets
mand n)?
l = {0, 20, 40, 80, 100)
m = {5, 10, 15, 20, 25}
n = {10, 20, 30, 40, 50)
[0, 5, 10, 15, 20, 25, 30, 40, 50, 80, 100)
{0, 10, 20, 40, 80, 100)
[20,40]
d)
[20]

3201

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