The roof of a castle tower is shaped like a cone. The base of the cone is 20 m across, and the height is 25 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius
and the height of the cone. Show all your work!
(a) Sketch the roof of the castle tower. Label the known lengths as described and label the unknown
length as x.
(b) What is the slant height of the roof to the nearest whole number?

What’s 8y+48 and factor each expression completely

If 7x=9y, y/z = 7/5 , then x/z = (a) 2/7 (b) 7/9 (c) 9/5 (d) 9/7 (e) 5/9

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.