xy+2y-x=6
xy+2y-x-2=6-2
y(x+2)-1(x+2)=4
(y-1)(x+2)=4
so c is 4
21
24000
120 (5×4!)
The formula to find number of diagonals (D) given total number of vertices or sides (N) is
N * (N – 3)
D = ———–
2
Using the formula, we get
1325 * 2 = N * (N – 3)
N2 – 3N – 2650 = 0
Solving the quadratic equation, we get N = 53 or -50
It is obvious that answer is 53 as number of vertices can not be negative.
Alternatively, you can derive the formula as triange has 0 diagonals, quadrangel has 2, pentagon has 5, hexagon has 9 and so on……
Hence the series is 0, 0, 0, 2, 5, 9, 14, …….. (as diagram with 1,2 or 3 vertices will have 0 diagonals).
Using the series one can arrive to the formula given above.
Effective management and supervision typically involve several key aspects:
Setting clear goals: As a manager or supervisor, it is important to establish clear goals and communicate them to your team members. This ensures everyone understands the expectations and can work towards a common objective.
Providing guidance and support: Managers should provide guidance and support to their team members by offering feedback, answering questions, and providing resources or training to help them succeed in their roles.
Delegating tasks: A good manager knows how to delegate tasks effectively. Delegation involves assigning appropriate tasks to team members based on their skills and strengths, and ensuring they have the necessary resources and support to complete the tasks successfully.
Effective communication: Communication is a crucial aspect of management and supervision. Managers should establish open lines of communication, actively listen to their team members, provide regular updates and feedback, and encourage open dialogue to foster a positive work environment.
Motivating and recognizing achievements: A skilled manager understands the importance of motivating their team members and recognizing their accomplishments. This can be done through positive reinforcement, offering incentives or rewards, and acknowledging individual and team achievements.
Problem-solving and conflict resolution: Managers often encounter challenges and conflicts within their teams. Effective managers possess strong problem-solving and conflict resolution skills to address issues in a fair and constructive manner, fostering collaboration and maintaining a harmonious work environment.
LET ACTUAL PRICE BE 100 RS(FOR CONVINIENCE)
THEREFORE IF PRICE IS CUT BY 20%
THEREFORE NEW PRICE=100-20=80 RS
THEREFORE WE NEED TO ADD X% TO 80 RS TO MAKE IT 20 RS AND ADD IT TO 80 TO MAKE IT 100RS
THEREFORE, 80X/100 = 20
I.E. 4X/5=20
THEREFORE x=20*5/4
=5*5
=25
HENCE 25% OF PRICE SHOULD BE ADDED TO MAKE THE PRICE EQUAL TO THE ACTUAL PRICE.
area is given by Area of Rectangle = Length of Rectangle*(sqrt((Diagonal of Rectangle^2)-(Length of Rectangle^2)))
so substituting we get area=4*(sqrt((25-16)))
area=4*(sqrt(9))
since area cannot be negative hence we take sqrt of 9 as 3 (as sqrt of 9 is 3 and -3 as well)
area=4*3=12m^2
211
A Roman was born the first day of the 35th year before Christ means before the start of year 0, 35 years has been past and died the first day of the 35th year after Christ means 35th year is about to start at his death so only 34 years has been completed so total years = 69
Answer: 8:10, 7:10
Explanation:
The bus b1, which started at P, reached S at 10:40, passing through the intermediary cities Q and R.
The time taken to travel from P to S
= 3 * 40 + 2 * 15 = 150minute
(journey)+(stoppage) = 2 hrs 30 minutes.
Hence, b1 started at 10:40 – 2:30 = 8:10 at P.
b2 reached Q, starting at U, through the city T, S and R.
The time taken by it to reach S = 4 * 40 + 3 * 15 = 205 minutes = 3 hr 25 minutes.
Hence, b2 started at, 10:35 – 3:25 = 7:10, at U.