Evan, Claire, Jaya and Tim are running a 3 km relay race. Evan ran 7/8 of a km, Claire ran 11/12 of a km, and Jaya ran 3/4 of a km.

What fraction of a km does Tim need to run to finish the race?
[3]​

11/24

Step-by-step explanation:

7/8 + 11/12 + 3/4 + x = 3 km

7*3/8*3 = 21 / 24

11*2 / 12 * 2 = 22 /24

3*6 / 4*6 = 18/24

21/24 + 22/24 + 18/24 + x = 3

61 / 24 +  x = 3

x = 72/24 - 61/24

x = 11 / 24

Tim has to run 11/24 of the race

d is correct

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