Write a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (xo, y o), (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(]. Three useful geometric transforms are scale, translate and rotate. o Scale the coordinates of each vertex (x , y ) by a factor a. o x; = ax o y;=an o Translate each vertex (x ;, y ) by a given offset (dx, dy). o xi = x + dx o yi=+ dy o Rotate each vertex (x , Y ) by 0 degrees counterclockwise, around the origin. o x; = x; cos e - y, sin e o yi=y cos e + x; sin e Write a two-dimensional transformation library by implementing the following API:

Make A Dice Simulator in Python. First, we import the library that allows us to choose random numbers. import random Now, we can generate a random number and save it in a variable, We will call it rolled Python library random has a function called randint (). The randint (min number, max number) requires 2 parameters (the lowest number and the highest number between we will pick our number randomly). In this case, our dice goes between 1-6. rolled = random.randint (1,6) If we want to show our selected number, we can use print (). Your code should look like this: import random rolled - random.randint(1,6) print(rolled) Nice, we already have our main engine working, now it's time to make it look more appealing. To do that we will add some improvements (we will use a new variable to store random generated numbers - rolled_num) import random rolled num - random.randint(1,6) print("You rolled: ", rolled num) If we run the code again, we should see a little message and the random number. Our…

Write a Java method that receives a two-dimensional array of primitive ints ( int [] [] ). The array can have any number of rows and any number of items per row. Also, the array can be “ragged” (not all rows have the same number of items). Have the method return the average of all of the items in the array as a primitive double.

Write a Java method named addArray which takes two arrays of same size as parameters. The method should return a third array that is the element-wise sum of the two arrays. For example, if the two input arrays are [1,2,3] and [4,5,6], then the returned array should be [5, 7, 9].                             [  1,   2,   3]                         + [  4,   5,   6]                         = [1+4, 2+5, 3+6] = [5,7,9] Call addArray in main method to test the above example. Print the returned array in the main method. Write a JAVA code please