an amateur astronomer sets up his telescope in the center of a circular field. the field is surrounded by trees 20 m tall. The tripod holding the telescope pivots 1 m above the ground. what is the lowest angle of elevation at which the astronomer can observe a star?

Which sentence describes why polygon mnop is congruent to polygon jklp? a. polygon jklp maps to polygon mnop through a translation. b. polygon jklp maps to polygon mnop through a rotation. c. polygon jklp maps to polygon mnop through a dilation. d. polygon jklp maps to polygon mnop through a stretch.

Given the parent function of [tex]f(x)=x^4[/tex], what change will occur when the function is changed to [tex]f(\frac{1}{2} x)[/tex]?

Abag of jelly beans contain 13 pink, green, 20 yellow, 10 black, 7 red, and 11 orange jelly beans. approximately what percent of the jelly beans are pink and yellow?