At a basketball game, a team made 58 successful shots. They were a combination of 1- and 2- point shots. The team scored 99 points in all. How many 1- point and 2- point shots were scored?

seventeen 1- point and forty one 2- point shots were scored

Step-by-step explanation:

Let x represent the number of 1- point shots that the team made.

Let y represent the number of 2- point shots that the team made.

At the basketball game, the team made 58 successful shots. They were a combination of 1- and 2- point shots. This means that

x + y = 58

The team scored 99 points in all. This means that

x + 2y = 99 - - - - - - - - - - - - -1

Substituting x = 58 - y into equation 1, it becomes

58 - y + 2y = 99

- y + 2y = 99 - 58

y = 41

x = 58 - y = 58 - 41

x = 17

78.59 is the mean

step-by-step explanation:

(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