Brett and Sofia are playing with playing cards. They decide to shuffle a deck of playing cards. After a shuffle they choose a single card. If that card is of an Ace or a King they win 2 points. If that card is of a Jack or a Queen they win 3 points. If that card is of any other number, they lose 1 point. Is this game fair? Question 1 options: Fair Unfair

why can't you?

step-by-step explanation:

x = 12

y = 1

for the points!

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