(Geometry: points in triangle?) Suppose a right triangle is placed in a plane as shown below. The right-angle point is placed at (0, 0), and the other two points are placed at (200, 0) and (0, 100). Write a
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- (Find the two highest scores)Write a program that prompts the user to enter the number of students and each student’s name and score, and displays the name and score of the student with the highest score and the student with the second-highest score.Sample RunEnter the number of students: 5Enter a student name: SmithEnter a student score: 60Enter a student name: JonesEnter a student score: 96Enter a student name: PetersonEnter a student score: 85Enter a student name: GreenlawEnter a student score: 98Enter a student name: ZhangEnter a student score: 95Top two students:Greenlaw's score is 98.0Jones's score is 96.0arrow_forward(Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ed – bf ax + by = e cx + dy = f af - eс y ad – bc %3D ad – bc Write a program that prompts the user to enter a, b, c, d, e, and f, and displays the result. If ad – bc is 0, report that "The equation has no solution."arrow_forward(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:arrow_forward
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- (Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1+2+3+4 = 10 and 1 +0 = 1, while 1235 is not (1 +2+ 3 +5 = 11 and 1 +1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262 You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise notarrow_forward(Geometry: area of a regular polygon) 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 n x s? Area 4 X tan Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area. Here is a sample run:arrow_forward(Geometry: point in a circle?) Write a program that prompts the user to enter apoint (x, y) and checks whether the point is within the circle centered at (0, 0) withradius 10. For example, (4, 5) is inside the circle and (9, 9) is outside the circle, asshown in Figure 3.7a.(Hint: A point is in the circle if its distance to (0, 0) is less than or equal to 10.The formula for computing the distance is 2(x2 - x1)2 + (y2 - y1)2. Test yourprogram to cover all cases.) Two sample runs are shown below: Enter a point with two coordinates: 4 5Point (4.0, 5.0) is in the circleEnter a point with two coordinates: 9 9Point (9.0, 9.0) is not in the circlearrow_forward
- (Written in Java or Python) Write a program that allows a user to select 3 points on a graphics panel. Then, draw a triangle using these 3 points. Allow the user to specify a number of random points to be generated inside of the triangle. For each random point that is within the boundaries of the triangle draw a small dot at each of the points that are halfway between the randomly generated point and each vertex of the triangle. Do not draw the randomly generated point. Allow the user to repeat the process without removing the old dots. Allow the user to clear the screen.arrow_forward(IN C LANGUAGE) Cumulative Addition: Computer selects a number between 7 and 23 at random. User will only add 2, 3 or 5 numbers to reach that number. For example: To reach 14:User will enter 5 5 2 2 (4 input).Also he can enter 2 2 2 2 2 2 2 (7 input) or 3 3 3 3 2 (5 input)arrow_forward(Random Walk Robot) A robot is initially located at position (0, 0) in a grid [−5, 5] × [−5, 5]. The robot can move randomly in any of the directions: up, down, left, right. The robot can only move one step at a time. For each move, print the direction of the move in and the current position of the robot. Use formatted output to print the direction (Down, Up, Left or Right) in the left. The direction takes 10 characters in total and fill in the field with empty spaces. The statement to print results in such format is given below: cout << setw(10) << left << ‘Down’ << ... ; cout << setw(10) << left << ‘Up’ << ...; If the robot moves back to the original place (0,0), print “Back to the origin!” to the console and stop the program. If it reaches the boundary of the grid, print “Hit the boundary!” to the console and stop the program. A successful run of your code may look like: Due to randomness, your results may have a different trajectory…arrow_forward
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