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This question is concerning the completion of the square by using plane geometry
The area of a square of length x is : x
2
The area of a rectangle of sides x and y is : xy
Consider the expression : x
2 + 10x
Such can be considered as the sum of two areas viz square x
2 and a rectangle 10x
Now do the following (sketch essential)
Divide the rectangle into two equal areas viz 5x and 5x
Next to the square place the two rectangles with the side x in common. One to the RHS and the other below.
You will now have a ’nearly complete’ square
a) What is the length of each side of the ’missing square’ in your diagram
b) If you add the area of the missing square to make a big square, what is the area of the complete (big) square
c) By using the areas from your sketch, find the expressions ? and ?? in the following:
x
2 + 10x + (?)2 = (??)
A charge of 3,600 C passes through an electric lamp in 3.0 min. What is the current in the lamp?
Calculate total stock value of the stock available in a furniture shop.
This program simulate the stock management of a Furniture Shop. This shop deals with only two type of Furnitures BookShelf and DiningTable only. The program should accept details any 5 furnitures(each can be either BookShelf or DiningTable), the program should show a menu that allow the user to select choice of Furniture. After accepting the required no of Furniture details program will show accepted details and TotalCost of Accepted Stock
This exercise contains a base class named Furniture to hold the common properties of all type of Furnitures, and BookShelf and DiningTable class as child class with additional properties relevant to child classes. Program class has below functions:
+AddToStock(Furniture []) : int
+TotalStockValue(Furniture []) : double
+ShowStockDetails(Furniture []) : int
The program should also contain definitions for class types as suggested below:
+Furniture : class
+ BookShelf : class
+ DiningTable : class
Calculate total stock value of the stock available in a furnitur
This program simulate the stock management of a Furniture Shop. This shop deals with only two type of Furnitures BookShelf and DiningTable only. The program should accept details any 5 furnitures(each can be either BookShelf or DiningTable), the program should show a menu that allow the user to select choice of Furniture. After accepting the required no of Furniture details program will show accepted details and TotalCost of Accepted Stock
This exercise contains a base class named Furniture to hold the common properties of all type of Furnitures, and BookShelf and DiningTable class as child class with additional properties relevant to child classes. Program class has below functions:
+AddToStock(Furniture []) : int
+TotalStockValue(Furniture []) : double
-
+ShowStockDetails(Furniture []) : int
-
The program should also contain definitions for class types as suggested below:
+Furniture : class
+ BookShelf : class
+ DiningTable : class
-
The average height of students in a freshman class of a certain school has been 161.27 cm with a population standard deviation of 6.5 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 45 students in the present freshman class has an average height of 150.6 cm? Use a 0.05 level of significance.
A point charge q=2.00uC is located at the origin. Find the electric potential due to this charge at point x=4.0
A man driving his sports car with 5,250 kg at auniform speed of 25 km/a in north east. What is the momentum of his sports car?
Let X be a random variable with the following probability distribution:
x. -3 , 6 , 9
P(X=x). 1/6 , 1/2 , 1/3
Find ug(x), where g(X)= (2X+1)^2
An ATM allows users to perform basic financial transactions:
- View account balance
- Withdraw cash
- Deposit cheque
You need to identity the classes involed in this system and their relationship
Identifying the Classes
- An ATM machine interacts with the bank for performing bank operations.
- The machine identifies the bank based on the card number provided
- Once the bank is identified it should validate the card based on pin number provided
- If the pin is valid, ATM application should then provide options to:
- Deposit Amount - through cheque
- Withdraw Amount - based on balance available
- Check Balance
- It should record the card number, the bank details, the date and time of transaction, the type of transaction (deposit/withdraw/balance-enquiry) and the status of transaction (success/failure)
- For each failed transaction, the further processing should stop and display appropriate message
- At a time, ATM accepts request for single transaction.
- Entire process repeats, for the next transaction
Answer the following with full solution.
1.) A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.
2.) A feather is dropped on the moon from a height of 1.40 meters. The acceleration
of gravity on the moon is 1.67 m/s
2. Determine the time for the feather to fall to the surface of the moon.
3.) An engineer is designing the runway for an airport. Of the planes that will use the
airport, the lowest acceleration rate is likely to be 3 m/s². The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?
#340153 on Dec 2023