(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is
where
Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of
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Chapter 6 Solutions
C++ for Engineers and Scientists
- splir + 1).) 7. (Numerical) Heron's formula for the area, A, of a triangle with sides of length a, b, and cie A = vIsts - aXs - b(s - c)] where (a +b+c) Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of s and [s(s - a)(s - b)(s - c)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A = -1. The value of A should be returned by the function.arrow_forward(JS)Write a function named "tweets" that takes a string as a parameter. If a message can hold at most 280 characters, calculate the smallest number of messages needed to hold all of the text in the input. The function should return the number it calculated.arrow_forward(Algebra: solve quadratic equations) The two roots of a quadratic equation ax? + bx + x = 0 can be obtained using the following formula: -b + VB - 4ac -b - Vb - 4ac and r2 2a 2a Write a function with the following header void solveQuadraticEquation(double a, double b, double c, double& discriminant, double& rl, double& r2) b² - 4ac is called the discriminant of the quadratic equation. If the discriminant is less than 0, the equation has no roots. In this case, ignore the value in rl and r2. Write a test program that prompts the user to enter values for a, b, and c and dis- plays the result based on the discriminant. If the discriminant is greater than or equal to 0, display the two roots. If the discriminant is equal to 0, display the one root. Otherwise, display "the equation has no roots". See Programming Exercise 3.1 for sample runs.arrow_forward
- (Format an integer) Write a function with the following header to format the inte- ger with the specified width. def format(number, width): The function returns a string for the number with prefix 0s. The size of the string is the width. For example, format(34, 4) returns "0034" and format(34, 5) returns "00034". If the number is longer than the width, the function returns the string representation for the number. For example, format(34, 1) returns "34". Write a test program that prompts the user to enter a number and its width and dis- plays a string returned from invoking format(number, width). Here is a sample run:arrow_forward(Fibonacci) The Fibonacci series0, 1, 1, 2, 3, 5, 8, 13, 21, …begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the twopreceding terms. a) Write a nonrecursive function fibonacci(n) that calculates the nth Fibonaccinumber. Use unsigned int for the function’s parameter and unsigned long long int for its returntype. b) Determine the largest Fibonacci number that can be printed on your system.arrow_forward(Use Python) The function course_average should calculate and return the average of the three values pass to it. The function main should ask the user to enter three grades and then pass these values to the course_average function. This function should also display a message to the user in the format below. For example, if the user entered 100, 90 and 95 the message would be:The average of 100 , 90 and 95 is 95arrow_forward
- (IN PYTHON) Problem 2 Write a function count_8s(string) that performs the following actions: Receives a single parameter called string that we expect to be a string. If we receive something that is NOT a string, raise a TypeError with the message “Non-string input received.” Uses recursion to count the number of eights in the string. Use a string of length 0 as your base case. Otherwise, determine if the first character in string is “8” or not, and call count_8s() again with the rest of the string as an argument. Returns the number of eights found in the string. NOTE: You are not to use a while or for loop in your code.arrow_forward(Hypotenuse) Define a function hypotenuse that calculates the length of the hypotenuse of a right triangle when the other two sides are given. Use this function in a program to determine the length of the hypotenuse for each of the triangles shown below. The function should take two double arguments and return the hypotenuse as a double. Sample output Enter 2 sides of right triangle: 3.0 4.0 Hypotenuse: 5.0 Enter 2 sides of right triangle: 5.0 12.0 Hypotenuse: 13.0 Enter 2 sides of right triangle: 8.0 15.0 Hypotenuse: 17.0arrow_forward(Wattan Corporation) is an Internet service provider that charges customers a flat rate of $7.99 for up to 10 hours of connection time. Additional hours or partial hours are charged at $1.99 each.Write a function charges that computes the total charge for a customer based on the number of hours of connection time used in a month. The function should also calculate the average cost per hour of the time used (rounded to the nearest 0.01), so use two output parameters to send back these results.You should write a second functionround_money that takes a real number as an input argument and returns as the function value the number rounded to two decimal places. Write a main function that takes data from an input file usage.txt and produces an output file charges.txt. The data file format is as follows:Line 1: current month and year as two integersOther lines: customer number (a five-digit number) and number of hours usedHere is a sample data file and the corresponding output file:Data file…arrow_forward
- (Wattan Corporation) is an Internet service provider that charges customers a flat rate of $7.99 for up to 10 hours of connection time. Additional hours or partial hours are charged at $1.99 each. Write a function charges that computes the total charge for a customer based on the number of hours of connection time used in a month. The function should also calculate the average cost per hour of the time used (rounded to the nearest 0.01), so use two output parameters to send back these results. You should write a second function round_money that takes a real number as an input argument and returns as the function value the number rounded to two decimal places. Write a main function that takes data from an input file usage.txt and produces an output file charges.txt. The data file format is as follows: Line 1: current month and year as two integers Other lines: customer number (a five-digit number) and number of hours used Here is a sample data file and the corresponding output file:…arrow_forward(Displaying a Square of Any Character) Modify the function created in Exercise 5.19 toform the square out of whatever character is contained in character parameter fillCharacter. Thusif side is 5 and fillCharacter is “#”, then this function should print: ##### ##### ##### ##### #####arrow_forwardObjectives: practice with math, while-loops, sentinels, input validation, functions Starting with the provided file circles.py, write a program that uses functions to compute the area and circumference of a circle of a user-specified radius. The program consists of a main () function and two other functions, as follows: main (): Asks the user for the radius of a circle (floating point number). If the user enters a radius of zero, the program prints “Goodbye!" and ends. If the user enters a negative radius, the program prints “Invalid radius!", and asks again for a radius, and keeps asking until the user enters zero or a positive number. If the user enters a positive number, the program calls the two other functions and prints: A circle of radius R has circumference C and area A. (where R is the radius number, C is the calculated circumference, and A is the calculated area.) After printing the circumference and area, the program asks again for a new radius. [20 pts] circumference (r) :…arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning