Answer:
The height above sea level at <em>B</em> is approximately 1,604.25 m
Step-by-step explanation:
The given length of the mountain railway, AB = 864 m
The angle at which the railway rises to the horizontal, θ = 120°
The elevation of the train above sea level at <em>A</em>, h₁ = 856 m
The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;
Change in height across the railway, Δh = AB × sin(θ)
∴ Δh = 864 m × sin(120°) ≈ 748.25 m
Δh = h₂ - h₁
h₂ = Δh + h₁
∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m
The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m
Answer:
B.
Step-by-step explanation:
the visible line is the defined function.
this line goes from x=1 to x=4, and has the functional results from y=1 to y=7.
the domain is the valid interval of the input variable (typically x), while the range is the valid inescapable of the result variable (typically y).
so, B is the right answer.
Since the amount of money earned is based of of the amount of pies he sells...
y = 14x
Hope this helps!
Realize the tangent function has a period of 180°, so when your calculator (or memory) tells you
.. θ = arctan(-1)
.. θ = -45°
you can translate that value into the desired range by adding multiples of 180° to get the two solutions ...
.. θ = 135°
.. θ = 315°
Answer:
960 cubic centimeters
Step-by-step explanation:
Base area is area of triangle: b*h*1/2
= 12*8*1/2 = 48
Base area times height is 48*20 = 960