A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle and the central angle C A D marked 38 degrees. The diameter is 20 feet. What is the arc length the car traveled, to the nearest hundredth?

6.63

Step-by-step explanation:

2 π (r) (0/360)

2 π (10) (38/360)

2 (3.1415) (10) (0.1056)

2 (3.1415) (1.056)

2 (3.31602778)

= 6.63

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.