19/23 as a decimal rounded to the nearest hundredth

19/23 ≈ 0.826086956521739

Rounding that to the nearest hundredth means you look at the 6 to the right of the hundredth place

   0.826086956521739

Since 6 is closer to 10 than 0, you round the 2 up to 3.

  0.83

Another way to describe that is that 26 (taking both the 2 and 6 into account) is closer to 30 than it is to 20.

  0.826 is closer to 0.830 than 0.820

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.