Acylinder has a height of 16 cm and a radius of 5 cm. a cone has a height of 12 cm and a radius of 4 cm. if the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (use 3.14 as an approximation of `pi`.) a. 452.16 cm3 b. 840.54 cm3 c. 1,055.04 cm3 d. 1,456.96 cm3

Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month. create a scatter plot that represents the data that is shown in the table. the x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars. name beginning balance (in thousands of dollars) change in savings account (in hundreds of dollars) jimmy 5 3 kendra 4 7 carlos 5 4 yolanda 3 1 shawn 2 5 laura 3 2 andy 5 6 georgia 4 3

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.