The face of a clock is divided into 12 equal parts. the radius of the clock face is 10 inches. assume the hands of the clock will form a central angle.

which statements about the clock are accurate? check all that apply.

a. the central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
b. the circumference of the clock is approximately 62.8 inches.
c. the minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
d. the length of the major arc between 3 and 10 is approximately 31.4 inches.
e. the length of the minor arc between 6 and 7 is approximately 5.2 inches.

A.

360/12=30 degrees between each number

3-1 = 2 2*30 = 60 degrees so A is FALSE

B

C=2 x PI x r

r=10 using 3.14 for PI = 10*3.14 =31.4 x 2 = 62.8 so B is TRUE

C 30 x 4 = 120 degrees = TRUS

D

10-3 = 7

7/12 x 62.8 = 0.5833*62.8 = 36.63 inches = FALSE

E

1/12=0.0833 x 62.8 = 5.23 rounded to 5.2 = TRUE

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.