Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
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The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
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<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
Answer:
1. false
2. 17 times
Step-by-step explanation:
The sum of all the probabilities of outcomes of an event is equal to 1
2. A die has 1,2,3,4,5,6
P(4) = number of 4's/ total numbers
= 1/6
Multiply the number of roll's by the probability of getting a 4
100 *1/6 = 50/3 = 16 2/3
This is approximately 17
Option D, 5^9 is the correct answer