Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62.8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31.4 inches. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

Option 2, 3 and 5 are correct.

Step-by-step explanation:

Given question is incomplete, here is the complete question.

The face of a clock is divided into 12 equal parts.

Which statements about the clock are accurate? Select three options.

The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.

The circumference of the clock is approximately 62.8 inches.

The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.

The length of the major arc between 3 and 10 is approximately 31.4 inches.

The length of the minor arc between 6 and 7 is approximately 5.2 inches.

Option 1. "Central angle when one hand points at 1 and the other hand points at 3."

Since, face of the clock has been divided in 12 equal parts.

So, central angle at the center for each part =

                                                                          = 30°

Number of parts between 1 and 3 = 3

So central angle between 1 and 3 = 3 × 30°

                                                        = 90°  (False)

Option 2. "Circumference of the clock = 62.8° inches."

Formula to be used

Circumference = 2πr of a circle

r = radius of the circle

Therefore circumference of he circle = 2π(10)

                                                              = 20π

                                                              = 62.8 inches (True)

Option 3. "Minor arc measure when one hand points at 12 and the other hand points at 4 is 120°."

Number of parts between 12 and 4 = 4

So Central angle formed = 4 × 30°

                                         = 120° (True)

Option 4. "Length of major are between 3 and 10 = 31.4 inches."

Number of parts between 3 and 10 = 7

Central angle formed by hands = 7 × 30°

                                                    = 210°

                    = 39.65 inches  (False)

Option 5. "The length of the minor arc between 6 and 7 is approximately 5.2 inches."

Number of parts between 6 and 7 = 1

Central angle between 6 and 7 = 30°

Length of minor arc =

                                 ≈ 5.2 inches (True)

Option 2, 3 and 5 are correct.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!