Answer:
Solution given:
the fractions Four-sevenths=4/7≈0.57
the fractions Five-ninths=5/9≈0.55
Since 0.55 is less than 0.57
<u>least=the fractions Five-ninths</u>
<u>greatest=the fractions Four-sevenths</u>
3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17
Angle of depression = 12.52°
The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
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The grade on the west side would be the vertical rise divided by the horizontal run or 525 divided by 800' or rounded off to 66% (a steep grade as in an underground mine a grade of 25% is considered very steep for vehicles to go up or conveyors to travel). On the east side the 40% grade was obtained by dividing the 525' vertical height by the 1300' run.
