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:
7/4 or 1.75
Step-by-step explanation:
Assuming this is a linear function, you can use the slope formula of change in y-values divided by change in x-values. Take your y-values (8 - 1), which is seven. Then take your x-values (6-2), which is equal to 4. Then your slope is just 7/4 or 1.75.
Answer:
1 km < 3,000 m and 4L = 4,000 mL
