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1 answer:
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Answer:
0.2 or 20%
Step-by-step explanation:
If the times of arrival vary uniformly, there is an equal chance of an employee reporting at any given time between 8:40 and 9:30.
The range between 8:40 and 9:30 is 50 minutes.
The range between 9:00 and 9:10 is 10 minutes.
Therefore, the probability that a randomly chosen employee reports to work between 9:00 and 9:10 is:
The probability is 0.2 or 20%.
Answer:
Step-by-step explanation:
Let x represent the sun's angle of elevation.
We have been given that a 6-foot tall man casts a shadow that is 12 feet long.
Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.
Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:
Using arctan we will get,
Therefore, the measure of the sun's angle of elevation is 27 degrees.
Answer:
- B = 58°
- a = 6.6896
- c = 1.5915
Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
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Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
