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Dafna11 [192]
2 years ago
7

A square garden has an area of 441 m^2.if the path of uniform width surrounding inside the garden is 216m^2,find the width of th

e path
Mathematics
1 answer:
Ilya [14]2 years ago
4 0

Answer:

Area of a square garden = 2, 500 m².

Length of the side of the garden =  √2,500 = 50 m.

Width of the path = 2.5 m.

Path is inside the garden.

Width of the garden that is inside (enclosed) by the path:

         50 - 2 * 2.5 = 45 m.

Length of the garden inside by the path :  = 45 m.

So the area of garden inside the path = 45 * 45 m²

      = 2, 025 m².

Area of the path = 2, 500 - 2, 025 

     = 475 m².

Cost of laying the path = Rs 25 /m² * 475 m²

    = Rs 11, 875.

<u>MARK THIS AS BRAINLIEST</u>

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3 years ago
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the te
Luba_88 [7]

Answer:

102

Step-by-step explanation:

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In the first case x = 148:

z = (148 - 128.5) /8.2

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In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

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2 years ago
Seven times a number is 5600. what is the number?
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3 years ago
Read 2 more answers
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

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For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

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