Hockey teams receive 2 points when they win and 1 point when they tie. one season, a team won a championship with 66 points. they won 12 more games than they tied. how many wins and how many ties did the team have?

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive points when they win and point when they tie. One season, a team won a championship with points. They won more games than they tied.

To Find: How many wins and how many ties did the team have.

Solution:

let the number of wins hockey team have

let the number of ties hockey team have  

Now,

Hockey teams receive points when they win and point when they tie.

They won more games than they tied

Solving both equations we get

Hence, the hockey team have wins and ties.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47