Mrs. Pender shows her students 2 sticks measuring 6 inches and 2 sticks measuring 8 inches. She asks the students to arrange the sticks to make a two-dimensional figure with the greatest possible area. The ways in which Anna and Reggie organize the sticks are shown.

Anna's shape is a kite with a 9.6 inches and a width of 10 inches. Reggie's shape is a rectangle with a base of 8 inches and a height of 6 inches.

Which statement comparing the areas of the figures is true?

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.