New car owners were asked to evaluate their experiences in buying a new car during the past 12 months. In the survey, the owners
2 answers:
Answer:
When ranking the dealers, the total possible outcomes are 6.
Step-by-step explanation:
It is given that the owners were most satisfied with their experiences at the following three dealers (in no particular order): Subaru, Honda, and Buick.
We need to find the total possible outcomes when ranking the dealers.
It means we need to arrange these 3 dealers.
According to permutation, the total possible ways to arrange n items is
Total possible ways to rank three dealers is
The total possible outcomes are 6. The list of possible ranking in ascending order is
1. Subaru, Honda, and Buick
2. Subaru, Buick, and Honda
3. Honda, Subaru, and Buick
4. Honda, Buick, and Subaru
5. Buick, Honda, and Subaru
6. Buick, Subaru, and Honda
Therefore, the total possible outcomes are 6.
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Answer:
A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth
The agent shoot his laser gun at 80.5 degree.
Step-by-step explanation:
Given:
Height at which the horrible alien is standing = 324 m
Distance from the (tower) where the agent is = 54 m
According to the question:
Men In Black agent is aiming his laser gun to shoot the horrible alien.
Let the angle at which the agent shoot his gun be " Ф "
As from the situated depicted we can draw a right angled triangle.
Using trigonometric ratios:
tan (Ф) = opposite/ adjacent
In triangle OPQ .
The adjacent side = 54 m
The opposite side = 324 m
⇒ Plugging the values.
⇒
⇒
⇒
⇒
Nearest tenth it is 80.5 degrees.
So,
Men In Black must shoot the laser gun at an angle of 80.5 degrees.
