A pizza stand at a movie theater has a choice of three toppings, onion (O), mushroom (M), and pepperoni (P). Nina and Russ are sharing a pizza and each of them chooses one topping. Is the sample space for the topping combinations (O, M), (O, P), (M, O), (M, P), (P, O), and (P, M)? Explain. A: No; the outcomes (O, M) and (M, O) are not possible.
B: No; the possible outcomes (O, O), (M, M), and (P, P) are not shown.
C: No; the only possible outcomes are (O, O), (M, M), and (P, P).
D: Yes; all of the possible outcomes are shown.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )