Solve the equation sin (x° - 20°) = cos 42° for x, where 0 < x < 90. a. 62 b. 22 c. 68 d. 28

Answer

Find out the value of x.

To prove

As given

sin (x - 20°) = cos 42°

Now using the property .

cos y =  sin (90 - y )

Thus

sin (x - 20°) = sin (90° - 42°)

x - 20° = 48°

x = 48° + 20°

x = 68°

Therefore the value of x is 68° .

Option (D) is correct.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

the answer is d

hope this