Part I Write a method that rotates the triangle around the origin with given degree. Note: Be careful that Math library requires angles in radians. Part II Write a method that calculates the area occupied by given Triangle. Part III Write a program that finds the center of mass point of given Triangle.
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- Exercise GradesStatistics (Method): Write a program called GradesStatistics, which reads in n grades (of int between 0 and 100, inclusive) and displays the average, minimum, maximum, median and standard deviation. Display the floating-point values upto 2 decimal places. Your output shall look like:Enter the number of students: 4Enter the grade for student 1: 50Enter the grade for student 2: 51Enter the grade for student 3: 56Enter the grade for student 4: 53{50,51,56,53}The average is: 52.50The median is: 52.00The minimum is: 50The maximum is: 56The standard deviation is: 2.29The formula for calculating standard deviation is:Hints:public class GradesStatistics {public static int[] grades; // Declare an int[], to be allocated later.// This array is accessible by all the methods.public static void main(String[] args) {readGrades(); // Read and save the inputs in int[] gradesprintArray(grades);System.out.println("The average is " + average(grades));System.out.println("The median is " +…Area and Perimeter: Write a program that prints the area and perimeter of a circle with a radius of 5.5 using the formula:• Perimeter = 2 * radius * PI• Area = radius * radius * PI• Use Math.PI for PI in your program5. Palindrome Detector A palindrome is any word, phrase, or sentence that reads the same forward and backward. Here are some well-known palindromes: Able was I, ere I saw Elba A man, a plan, a canal, Panama Desserts, I stressed Kayak Write a boolean method that uses recursion to determine whether a string argument is a palindrome. The method should return true if the argument reads the same forward and backward. Demonstrate the method in a program.
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- Python Programming ONLY PLEASE NO JAVA Use recursion to determine the number of digits in an integer n. Hint: If n is < 10, it has one digit. Otherwise, it has one more digit than n / 10. Write the method and then write a test program to test the method Your test program must: Ask the user for a number Print the number of digits in that number. (describe the numbers printed to the console) Use program headers and method header comments in your code.Use Java programming language Write a program that asks the user to enter 5 test grades (use an array to store them). Output the grades entered, the lowest and highest grade, the average grade, how many grades are above the average and how many are below and the letter grade for the average grade. Create a method that returns the lowest grade. Create a method that returns the highest grade. Create a method that returns the average grade. Create a method that returns how many grades were above the average. Create a method that returns how many grades were below the average. Create a method that returns the letter grade of the average (90-100 – A, 80-89 – B, 70-79 – C, < 70 – F)Use Java programming language Write a program that asks the user to enter 5 test grades (use an array to store them). Output the grades entered, the lowest and highest grade, the average grade, how many grades are above the average and how many are below and the letter grade for the average grade. Create a method that returns the lowest grade. Create a method that returns the highest grade. Create a method that returns the average grade. Create a method that returns how many grades were above the average. Create a method that returns how many grades were below the average. Create a method that returns the letter grade of the average (90-100 - A, 80-89 - B, 70-79 - C, < 70 - F)
- Extreme Fizz BuzzFizz Buzz is a classic Computer Science problem about Selection. For an integer x, print:• “Fizz” if x is only divisible by 3,• “Buzz” if x is only divisible by 5,• “FizzBuzz” if x is divisible by both 3 and 5,• the number x if it is not divisible by both 3 and 5.This problem is the extreme version of Fizz Buzz. You are given a list of K distinct integers A and a list of K characters S. Both lists are numbered from 1 to K. The integer Ai corresponds to the character Si. Denote B as the subset of A. There will be a rule for each possible subset: if an integerx is only divisible by all elements in B, print a string which is the concatenation of the corresponding character of each element in B, sorted by the index in ascending order. However, if B is an empty subset, print the first digit of x instead. Does it look complicated? Do not worry, as it is just a generalization of the regular Fizz Buzz. For example, if A = [3, 5] and S = [F, B], you will get the normal Fizz…NOTE: JAVA language Write a program that asks the user for his first name and then prints it using a function/method called printName(). We do not expect the first name to exceed 20 letters. Then the program should print the name with a space between each character. Example: if the first name is Maryam, the :program will print Maryam -1 Maryam -2Here's the problem " (Math: approximate the square root) There are several techniques for implementingthe sqrt method in the Math class. One such technique is known as theBabylonian method. It approximates the square root of a number, n, by repeatedlyperforming a calculation using the following formula: nextGuess = (lastGuess + n / lastGuess) / 2 When nextGuess and lastGuess are almost identical, nextGuess is theapproximated square root. The initial guess can be any positive value (e.g., 1).This value will be the starting value for lastGuess. If the difference betweennextGuess and lastGuess is less than a very small number, such as 0.0001,you can claim that nextGuess is the approximated square root of n. If not, next-Guess becomes lastGuess and the approximation process continues. Implementthe following method that returns the square root of n.public static double sqrt(long n)" I have my java code here " import java.util.Scanner;public class Main2 {public static void main(String[]…