Select the correct answer from each drop-down menu.
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:
(a) 83% of the scores were at or below her score.
(b) 17% was above her score.
Step-by-step explanation:
Given that:
Percentile score of Angela in the general aptitude test = 83rd percentile
To find:
a) Percentage of scores which were at or below her score?
b) Percentage of score which were above her score?
Solution:
First of all, let us learn about the term "<em>Percentile</em>"
Percentile is the value below which the certain percent of people/marks fall.
Therefore, when we say percentile of someone's score is , then there are
of scores are at the same level or below.
And of the scores are above this level.
Therefore, we can say that:
83% of the scores were at the same level or below the score of Angela.
And of the scores were above the score of Angela.