Aball is thrown vertically upward from the top of a building 160 feet tall with an initial velocity of 48 feet per second. the distance d (in feet) of the ball from the ground after t seconds is d(t) = 160 + 48t – 16t2. a. after how many seconds does the ball strike the ground? write your answer in a complete sentence with proper grammar and correct spelling. b. when will the ball reach its maximum height?

Classify the polygon by its number of sides. state whether the polygon appears to be regular or not regular. a.heptagon, regular b. heptagon, not regular c. octagon, regular d. octagon, not regular

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.