Answer:
<h2> 8m</h2>
Step-by-step explanation:
Step one:
given data
length of rectangle= 24.5m
let the width be x
width of square= 14m
let the length be x
Step two:
we know that the area of a rectangle is
Ar= Length * width
Ar=24.5*x-----------1
Also, the area of the square is
As= Length * width
for square L=W
As= 14*14-----------------2
As=196m^2
equating 1 and 2 we have
14*14=24.5x
196=24.5x
divide both sides by 24.5
x=196/24.5
x=8m
<u>The Breadth/width of the rectangular park is 8m</u>
Answer:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Probability of the five numbers matching:
Desired outcomes: 1 -> the matching numbers
Total outcomes: 5 from a set of 47. So

Probability:

Probability of the mega number matching:
1 from a set of 27. So

Probability of both matching:
Independent events, so we multiply the probabilities:

1/41416353 probability of all five numbers and the mega number matching the winning numbers
We can not see the rest of 12
Answer:
separate and square both the top and bottom
the square of square root three is just 3 and the square of 3 (the bottom of the fraction) is 9
so now you have 3(i^2) /9
you can simplify this by three and then i^2 is -1
you now have -1/3 and thats the final answer