Question

Find the value of each variable.​

Answer 1

Explanation:

11)

x= 5

`{y}^(2) = 2 * {5}^(2) \\ {y}^(2) = 50 \\ y = 5 √(2)`

12)

`\tan(30 ) = (9)/(y) \\ y = (9)/( \tan(30) ) = 9 √(3) \\ {x}^(2) = {9}^(2) + {(9 √(3) )}^(2) \\ {x}^(2) = 324 \\ x = 18`

13)

`\sin(60) = (x)/(22) \\ x = 11 √(3) \\ \cos(60) = (y)/(22) \\ y = 11`

14)

`{16}^(2) = {x}^(2) + {y}^(2) \\ x = y \\ {16}^(2) = 2 {x}^(2) \\ x = 8 √(2) \\ y = 8 √(2)`

15)

`\tan(30) = (x)/(42) \\ x = 14 √(3) \\ \cos(30) = (42)/(y) \\ y = (42)/( \cos(30) ) \\ y = 28 √(3)`

16)

`{(19 √(2)) }^(2) = {x}^(2) + {y}^(2) \\ x = y \\ 722 = 2 {x}^(2) \\ {x}^(2) = 361 \\ x = 19 \\ y = 19`