Concept explainers
(Geometry: point in a circle?) Write a
(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
FIGURE 3.7 (a) Points inside and outside of the circle. (b) Points inside and outside of the rectangle.
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- 5. (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 cx + dy = f ● x = ed - bf bc ad y = af - ec ad bc - Write a program that prompts the user to enter a, b, c, d, e, and f and display the result. If ad- bc is 0, report that The equation has no solution. Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter x is -2.0 and y is 3.0 Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter The equation has no solutionarrow_forward(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(Geometry: area of a triangle) Write a program that prompts the user to enter three points (x1, yl), (x2, y2), (x3, y3) of a triangle and displays its area. The formula for computing the area of a triangle is s = (sidel + side2 + side3)/2; V s(s – sidel)(s – side2)(s – side3) area =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). https://www.bartleby.com/questions-and-answers/in-c-language-cumulative-addition-computer-selects-a-number-between-7-and-23-at-random.-user-will-on/0509c740-d993-44ed-a468-7e02da552600arrow_forward"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 4arrow_forward4. Area of a Rectangle • Write a program that compares the area of two rectangles. You can do this several ways. one way is to add the length and width of each rectangle to get it's area and then compare the two areas together. • The program should ask for the length and width of two rectangles and then tell the user which rectangle has the greater area, or if the areas are the same. • The area of a rectangle is the rectangle's length times its width. Name the source code file yourName HW4.py. • Test and run the program. Capture the output console and save it as an image file named yourName HW4 output.jpg. • Submit the py and the image files through Canvas. Note: Sample output below: Fast l: Code-Tracing Output in comenta Vart 21 Days of the Weekarrow_forward
- (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: 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(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(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 244.575arrow_forward
- (Geometry: distance of two points) Write a program that prompts the user to enter two points (x1, y1) and (x2, y2) and displays their distance between them. The formula for computing the distance is: Square root of ((x2 - x1) squared + (y2 - y1) squared) Note that you can use pow(a, 0.5) to compute square root of a. Sample Run Enter x1 and y1: 1.5 -3.4 Enter x2 and y2: 4 5 The distance between the two points is 8.764131445842194arrow_forward-scripting language Write a program that randomly generates a lottery between 100 and 999 (random.randint(100, 999)), prompts the user to enter a number in the same range, and determines whether the user wins according to the following rule: (1) If the user input matches the lottery in exact order, print "the award is $10,000". E.g., lottery = 123, input = 123(2) If the user input matches the lottery, but in wrong order, print "the award is $6,000". E.g., lottery = 123, input = 321(3) If two digits in the user input matches a digit in the lottery, print "the award is $3,000". E.g., lottery = 123, input = 612(4) If one digit in the user input matches a digit in the lottery, print "the award is $1,000". E.g., lottery = 123, input = 289(5) If none of the digits is matched, print "thank you".arrow_forwardQ1. FizzBuzz problem:- Write a program which return "fizz" if the number is a multiplier of 3, return "buzz" if its multiplier of 5 and return "fizzbuzz" if the number is divisible by both 3 and 5. If the number is not divisible by either 3 or 5 then it should just return the number itself? .arrow_forward
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