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.
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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.
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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.
56.25 % is the right answer.
area of square = side ^ 2
at first, it was 100% , means 1
then, a side was enlarged to 25%, means now, 125% means new side is 1.25
taking square will give 1.5625
1.5625 – 1 = 0.5625
so, 56.25% increment in area.
1620
thanks
the answer is 34
890.488
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40960, 10240, 2560, 640, 200, 40, 10
200
( d ) 6 days
13 Kigs & 6 Libs –> 510tors in 10hrs
” –> 51 tors/hr
14 Libs –> 484 tors in 12hrs
” –> 121/3 tors/hr
1 Lib –> 121/42 tors/hr
==> 6 Libs –> 121/7 tors/hr
Now,
13 kigs and 6 Libs –> 51 tors/hr
Only 13 Kigs –> 51 – (121/7) tors/hr
= 236/91 tors/hr
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Let the journey distance be : x miles
Now x/40+x/30=8 (time=distance/speed)
Solving this for x we get. x=960/7
therefore, x=137(approx)
(137.14 exact)