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The length of BC is 4.674 m
<u>Explanation:</u>
Given:
Angle A = angle B = 90°
AD = 2.1 m
AB = 1.9 m
CD= 3.2 m
An image is inserted for the reference
According to the figure,
a is the base
b is the height
c is the hypotenuse
Using pythagoras theorm:
a² + b² = c²
a² + (1.9)² = (3.2)²
a² + 3.61 = 10.24
a² = 6.63
a = 2.574
BC = 2.1 + 2.574
BC = 4.674m
Therefore, the length of BC is 4.674 m
The area of the triangle EFG is 7.4 square units.
Explanation:
Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and
We need to determine the area of the triangle EFG
<u>Area of the triangle:</u>
The area of the triangle EFG can be determined using the formula,
Substituting the values, we get,
Simplifying the values, we have,
Multiplying, we get,
Dividing, we get,
Hence, the area of the triangle EFG is 7.4 square units.
Answer:
The correct option is b.
Step-by-step explanation:
The formula for standard deviation is
where, is mean of the data and n is number of observation.
The variance of a stock's returns can be calculated by the above formula.
Variance of stock's returns is the average value of squared deviations from the mean.
Therefore the correct option is b.