A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i. e.,the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is:
Area = (n * s²) / (4 * tan(π/n))
Write a method that returns the area of a regular polygon using the following header:
public static double area(int n, double side)
Write a main method that prompts the user to enter the number of sides and the side of a regular polygon and displays its area.

)a grad student comes up with the following algorithm to sort an array a[1..n] that works by first sorting the first 2/3rds of the array, then sorting the last 2/3rds of the (resulting) array, and finally sorting the first 2/3rds of the new array. 1: function g-sort(a, n) . takes as input an array of n numbers, a[1..n] 2: g-sort-recurse(a, 1, n) 3: end function 4: function g-sort-recurse(a, `, u) 5: if u ⒠` ≤ 0 then 6: return . 1 or fewer elements already sorted 7: else if u ⒠` = 1 then . 2 elements 8: if a[u] < a[`] then . swap values 9: temp ↠a[u] 10: a[u] ↠a[`] 11: a[`] ↠temp 12: end if 13: else . 3 or more elements 14: size ↠u ⒠` + 1 15: twothirds ↠d(2 ◠size)/3e 16: g-sort-recurse(a, `, ` + twothirds ⒠1) 17: g-sort-recurse(a, u ⒠twothirds + 1, u) 18: g-sort-recurse(a, `, ` + twothirds ⒠1) 19: end if 20: end function first (5 pts), prove that the algorithm correctly sorts the numbers in the array (in increasing order). after showing that it correctly sorts 1 and 2 element intervals, you may make the (incorrect) assumption that the number of elements being passed to g-sort-recurse is always a multiple of 3 to simplify the notation (and drop the floors/ceilings).

Check my work the microprocessor is a(n) circuit, which is designed to process data based on a set of instructions. most desktop and laptop devices contain a microprocessor based on the standard. most tablets and smartphones contain processors based on technology. a microprocessor's circuitry is designed to perform a limited number of tasks contained in its set. during processing, an instruction is loaded into the processor's unit. data is loaded into registers in the processor's where arithmetic and logic operations are performed. microprocessor performance can be measured by its speed. other factors affecting overall processing performance include word size, cache size, and instruction set complexity. most digital devices contain only one microprocessor chip, but today's multi- processors contain circuitry that supports parallel processing. computers contain various kinds of memory. random memory is a special holding area for data, program instructions, and the system. it stores data on a temporary basis until the processor makes a data request. ram is different from disk storage because it is , which means that it can hold data only when the computer power is turned on. computers also contain read- memory, which is a type of non-volatile memory that provides a set of "hard-wired" instructions, called the loader, that a computer uses to boot up.

The north and south regions had very diferent economies in the 1800s.