The perimeter of the square is:
ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem

Dividing both sides by 2

Taking Square root on both sides

Now,

Hence,
The perimeter of the square is:
ft
Keywords: Perimeter, Pythagoras Theorem
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Answer:
The actual area of the field in square kilometers is 
Step-by-step explanation:
Scale : 1 cm = 50000 km
Area of field on map = 
Now , 1 cm = 5000 km

We are supposed to find the actual area of the field in square kilometers.
So, the actual area of the field in sq. km =
Actual area of the field in sq. km 
Hence the actual area of the field in square kilometers is 
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
Answer:
sqrt 10 / 9
Step-by-step explanation:
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