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:

Step-by-step explanation:
Let
, we need to determine
, which can be found by applying the following property:
,
(1)
Then,


Answer:
Whole, natural, integer, rational, real
Step-by-step explanation:
15/5 can be rewritten as 3.
slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5
) =
= - 2
m =