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Find the area by co-ordinate method if the independent co-ordinates are (400, 400), (423, 456), (478, 498), (400, 400)

Correct Answer: 1510 cu. m
The formula in area by co-ordinate method can be given by, A = 1⁄2 (y1(x2-x4) + y3(x3-x4) + y3(x4-x2) + y4(x1-x3)). On substitution of the co-ordinates in the area we get, A = 1⁄2 (100(423-400) + 498(478-400) + 498(400-423) + 400(400-478)) A = -1510 cu. m, negative sign has no significance. So, A = 1510cu. M.

Find the value of 499*499 – 498*498.

Two people were hired to plough a field for a total of Tk. 498 . They completed the job with one person working for 1.75 hours and the other working for 0.875 hours. If they split the Tk. 498 in proportion to the amount of time each spent working on the job, how much will person who worked longer receive?

Convert the (10, 90, 60) coordinates to Cartesian coordinates which are in Spherical coordinates.

The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False.

Which of the following is equal to 456*(72)+28*(456) ?

Let A’s public key is n=6, 736, 180, 7817, 961, 456, 267 and e = 5 and B sends the ciphertext. c = 456, 871, 122, 391, 882, 538 to A. Determine B’s message in numeric format?

What will be output?
String S1 = "S1 ="+ "123"+"456";String S2 = "S2 ="+(123+456);

With reference to the conventional Cartesian (x, y) coordinate system, the vertices of a triangle have the following coordinates; (x1, y1) = (1, 0);(x2, y2) = (2, 2); (x3, y3) = (4, 3). The area of the triangle is equal to

If coordinates of vertices of a triangle are (7, 6, 4), (5, 4, 6), (9, 5, 8), find the coordinates of centroid of the triangle.

Which of the following are methods of calculating goodwill?
1. Average profit method
2. Super profit method
3. Log method
4. Sum of years digit method
5. Capitalisation of average profit method
6. Capitalisation of super profit method
7. FIFO method
Select the correct answer: