What percent of 600 meters in 30 meters
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We have been given that two datasets arranged in descending order are: and
. We are asked to find the value of
, if the medians of the two given datasets are equal.
First of all, we will arrange our given data sets in ascending order.
and
Since our data sets have 4 data points, so median will be average of middle two terms.
and
Now we will equate both median as we are told that median of both data sets are equal.
Cross multiply:
Divide both sides by 2:
Let us square both sides of our equation.
Therefore, the value of would be 1.
The perimeter of right isosceles ΔABC with midsegment DE is 16 + 8√2.
If right isosceles ΔABC has hypotenuse length h, then the two other sides are congruent.
side a = side b
Using Pythagorean theorem, c^2 = a^2 + b^2
h^2 = a^2 + b^2 a = b
h^2 = 2a^2
a = h/√2
If DE is a midsegment not parallel to the hypotenuse, then it is a segment that connects the midpoints of one side of a triangle and the hypotenuse. See photo for reference.
ΔABC and ΔADE are similar triangles.
a : b : h = a/2 : 4 : h/2
If a/2 = a/2, then b/2 = 4.
b/2 = 4
b = 8
If a = b, then a = 8.
If a = h/√2, then
8 = h/√2
h = 8√2
Solving for the perimeter,
P = a + b + h
P = 8 + 8 + 8√2
P = 16 + 8√2
P = 27.3137085
To learn more about midsegment: brainly.com/question/7423948
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