What is 3/5 equivalent to
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Answer:
about 2.81 km/h
Step-by-step explanation:
It can be useful to draw a diagram.
The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:
PB/sin(C) = CB/sin(P)
CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m
The speed of the boat is then ...
x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h
The height of the screw = 16 inches.
<h3>How do you determine the number of revolutions in a circle?</h3>The total distance covered in one revolution will be equal to the perimeter of the wheel. Finally, to find the total number of revolutions, divide the total distance by distance covered in one revolution.
Given that,
Diameter of a bicycle = 16 inches
The distance the bike moves (forward) after the screw punctures the tire = 56π inches
We note that the circumference of the bicycle = π·D = π × 16 = 16π inches
Therefore,
= 3.5
Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.
The height, h of the screw in the final half turn is given by the relation;
h = A cos(Bx - C) + D
Where
A = Amplitude of the motion = Diameter/2 = 16/2 = 8
P = The period of the motion 2π/B
Bx = The angle described by the motion = Half of one revolution = π = 180°
C = Phase shift = π
D = The mid line = Diameter/2 = 8 inches
Therefore;
h = 8×cos(π - π) + 8 = 16 inches
Hence, After the bike moves forward another 56π inches the height of the screw = 16 inches.
To learn more about number of revolution from the given link:
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