Write a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (x 0, y 0), (x 1, y 1), (x 2, y 2), …. In Java, we will represent a polygon by storing the x– and y-coordinates of the vertices in two parallel arrays x[] and y[].

What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm(squared) of sheet metal? dimension the side length to 0.1 cm

Need ! will choose brainliest! discuss the role of abstraction in the history of computer software.

Write a program that will compute the volume of ice cream served in a cone. as you can see in the diagram below, the ice cream is served as a hemisphere of frozen deliciousness on top of a cone, which is also packed with frozen deliciousness. thus, the total volume of ice cream sold is the volume of the hemisphere plus the volume of the cone. the example shows an ice cream cone in which the hemisphere and cone have a radius of 10 inches and the cone has a height of 15 inches. your program must instead prompt for these two values, which are taken from the keyboard as integers: • the hemisphere/cone radius in inches, and