Match the degree measures with their corresponding value in radians with their corresponding value in radians.

30° = , 45° = , 60° = , 90° = , 180° = π, 360° = 2π

Step-by-step explanation:

The conversions between radians and degrees are:

Radians x (180°/π) = Degrees

Degrees x (π/180°) = Radians

In this case, all degree values listed are on the unit circle. The unit circle is very useful and can be found with a quick Google search. It works fantastic for these types of problems and will help you a lot with math in the future.

(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

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24