Work out the mean for the data set below:
1 answer:
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Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Answer:
The number of customer needed to achieve is 34
Step-by-step explanation:
Given as :
The number of customer per hour = 8
The time taken = 8 hours
The rate of increase = 20 %
Let The increase in number of customer after 20 % increment = x
So , The number of customer after n hours = initial number ×
or, The number of customer after 8 hours = 8 ×
or, The number of customer after 8 hours = 8 × 4.2998
∴The number of customer after 8 hours = 34.39 ≈ 34
Hence The number of customer needed to achieve is 34 answer