These triangles are either 45 45 90 triangles or 30 60 90 triangles
For the 45 45 90 triangles the smaller sides are
s and the large one is s times the square root of two
For 30 60 90 the smallest side is s the hypotenuse is 2s and the last one is s root 3
For example 1. X is 7 the hypotenuse is 14
The sides on 2 are 6 Times Square root of 2
3. The sides are 3 each
The area of the right angled triangle is 8 cm^2.
According the statement
we have to find the area of the right angled triangle with the help of the given equation.
So, For this purpose, we know that the
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees.
From the given information:
The length of the perpendicular side (call as a) = 2cm
And
The length of the base side (call as b) = 8cm
We know that the area of the right angle triangle is :
Area = ab /2
Then
substitute the terms in it then
Area = 2*8/2
Area = 8 cm^2.
So, The area of the right angled triangle is 8 cm^2.
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The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:
- 75 = 100
- 26 = X
- 26 x 100/75 = X
- 34.66 = X
- 34.66 x 0.95 = 32.93
- 34.66 x 1.05 = 36.40
-
60 = 100
- 26 = X
- 26 x 100/60 = X
- 43.33 = X
- 43.33 x 0.95 = 41.16
- 43.33 x 1.05 = 45.50
-
45.50 - 32.93 = 12.57
- 41.16 - 36.40 = 4.76
Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
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