(Geometry: area of a regular polygon) A regular polygon is an n-sided polygon inwhich all sides are of the same length and all angles have the same degree (i.e., thepolygon is both equilateral and equiangular). The formula for computing the areaof a regular polygon isn x s?Area4 X tanHere, s is the length of a side. Write a program that prompts the user to enter thenumber of sides and their length of a regular polygon and displays its area. Here isa sample run:

import java.util.Scanner; public class AreaOfAregularPolygon4_5 { public static void main…

Answered: (Geometry: area of a regular polygon) A…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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(Area of a convex polygon) A polygon is convex if it contains any line segment that connects two points of the polygon. Write a program that prompts the user to enter the number of points in a convex polygon, then enter the points clockwise, and display the area of the polygon. Sample Run Enter the number of points: 7 Enter the coordinates of the points: -12 0 -8.5 10 0 11.4 5.5 7.8 6 -5.5 0 -7 -3.5 -5.5 The total area is 244.575
(Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equation: ax + by = e ed – bf af- ec ad - bc cx + dy = f ad – bc y = Write a program that prompts the user to enter a and f and display the result. If ad - bc is 0 b, c, d , e, , report that The equation has no solution.
(The conical paper cup problem) You have been given the contract for making little conical cups that come with bottled water. These cups are to be made from a circular waxed paper of 4 inches in radius by removing a sector of length x (see Figure 5-4 below). By closing the remaining part of the circle, a conical cup is made. Your objective is to remove the sector so that the cup is of maximum volume. Instructions Write a program that prompts the user to enter the radius of the circular waxed paper. The program should then output: The length of the removed sector so that the resulting cup is of maximum volume The maximum volume Calculate your answer to two decimal places.Use 3.141592654 for PI
(The conical paper cup problem) You have been given the contract for making little conical cups that come with bottled water. These cups are to be made from a circular waxed paper of 4 inches in radius by removing a sector of length x (see Figure 5-4 below). By closing the remaining part of the circle, a conical cup is made. Your objective is to remove the sector so that the cup is of maximum volume. Instructions Write a program that prompts the user to enter the radius of the circular waxed paper. The program should then output: The length of the removed sector so that the resulting cup is of maximum volume The maximum volume Calculate your answer to two decimal places.Use 3.141592654 for PI Format your output with setprecision(2) to ensure the proper number of decimals for testing!
(True or False) Seven different positive integers are randomly chosen between 1 and 2022 (including 1 and 2022).There must be a pair of these integers has a difference that is a multiple of 6.
(Geometry: area of a hexagon) The area of a hexagon can be computed using the following formula (s is the length of a side): 6 x s? Area TT 4 X tan 6. Write a program that prompts the user to enter the side of a hexagon and displays its area. Here is a sample run:
(Emirp) An emirp (prime spelled backward) is a nonpalindromic prime number whose reversal is also a prime. For example, 17 is a prime and 71 is a prime, so 17 and 71 are both emirps. Write a Java program that displays the first 100 emirps. Display 10 numbers per line with a spacing of 5; all numbers should be left-aligned.
(All Possible Three-Letter Words from a Five-Letter Word) Write a program that reads a five-letter word from the user and produces all possible three-letter combinations that can be derived from the letters of the five-letter word. For example, the three-letter words produced from the word “bathe” include the commonly used words “ate,” “bat,” “bet,” “tab,” “hat,” “the” and “tea,” and the 3-letter combinations “bth,” “eab,” etc.
(Geometry: great circle distance) The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographi- cal latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x1) * sin(x2) + cos(x1) * cos(x2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,378.1 km. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.
"NEED ONLY CODE NO EXPLANATION" Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output. Input: 4 2 2 Output 4
(Python matplotlib or seaborn) CPU Usage We have the hourly average CPU usage for a worker's computer over the course of a week. Each row of data represents a day of the week starting with Monday. Each column of data is an hour in the day starting with 0 being midnight. Create a chart that shows the CPU usage over the week. You should be able to answer the following questions using the chart: When does the worker typically take lunch? Did the worker do work on the weekend? On which weekday did the worker start working on their computer at the latest hour? cpu_usage = [ [2, 2, 4, 2, 4, 1, 1, 4, 4, 12, 22, 23, 45, 9, 33, 56, 23, 40, 21, 6, 6, 2, 2, 3], # Monday [1, 2, 3, 2, 3, 2, 3, 2, 7, 22, 45, 44, 33, 9, 23, 19, 33, 56, 12, 2, 3, 1, 2, 2], # Tuesday [2, 3, 1, 2, 4, 4, 2, 2, 1, 2, 5, 31, 54, 7, 6, 34, 68, 34, 49, 6, 6, 2, 2, 3], # Wednesday [1, 2, 3, 2, 4, 1, 2, 4, 1, 17, 24, 18, 41, 3, 44, 42, 12, 36, 41, 2, 2, 4, 2, 4], # Thursday [4, 1, 2, 2, 3, 2, 5, 1, 2, 12, 33, 27, 43, 8,…
(Comparing Integers) Write a program that prompts the user to enter the edges of a triangle and compares them. If all edges are equal, display Equilateral Triangle; if only two edges are equal, display Isosceles Triangle and if none of the edges are equal, display Scalene Triangle.

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