A lock on a bank vault consists of 5 dials, each of which has 25 positions. In order for the vault to open, each of the 5 dials must be in the correct position. How many possible dial codes are there for this lock

There 25 possible positions for each dial. Multiply the number of each dial by each other:

25 x 25 x 25 x 25 x 25 = 9,765,625 possible combinations.

(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