Answer:
The speed of the boat in still water is 10 miles / hour
Step-by-step explanation:
The trip there, and the trip back are the same -- 30 miles
Let the rate of the boat = x
Let the rate of the water = y
30 = 2*(x + y)
30 = 6*(x - y)
Divide the top equation by 2
Divide the bottom equation by 6
15 = x + y
<u>5 = x - y </u> Add the equations together.
20 = 2x Divide by 2
20/2 = x
x = 10
The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
Central angle = 54pi * (180°/pi)
r = 34 cm
Solving for an arc length"
Arc length = 2*3.14*34((54*180)/360)
Arc length = 5,765.04 cm
The answer is 5,765.04 cm.
Answer:
13 cm
Step-by-step explanation:
Using the Pythagoras therorem
We get the answer as
Root of (12squared +5squared)
Root of (144+25)
Root of 169
=>13 cm
Answer:
First option
(r, θ - 2π)
Step-by-step explanation:
Polar coordinates are a representation in terms of a given longitude r, and an orientation given by an angle. (Please see attached image)
Since the polar coordinate is cyclic (The values from the angle go from 0 to 2π and then go through the same values again) if we add or subtract 2π, from any value we find ourselves in the same initial position
So, any point can be represented by
(r, θ ± 2π)
