Step-by-step explanation:
Arc length formula is
where x is radinas.
A semi circle has a radian measure of
The radius is half of the diameter, 12 so the radius is
So the arc length is
Area of semi circle is
where r is the radius.
Evaluate when x = 3, y = -3 and z = -2: xy + 2z
2 answers:
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Answer:
a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is
b) Hence the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a meter is 5.5 meters
Step-by-step explanation:
a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :
,
where
R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)
= 14 m / 2
= 7 m (radius of the circle)
Also, center of the circle will be at (0, 2 + R) i.e (0,9)
So, is the trajectory path equation to the circle
Let be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t
At t= 10s, y = 16 m so we have,
---------------(1)
Also, at t= 25s, y =2 m so we have,
--------------(2)
Solving we have,
Therefore is the instantaneous height of the pink short at time t ( in seconds)
b) At t= 10minutes = 10 * 60 s = 600s, we have,
= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)
Answer:
Step-by-step explanation:
Given
The position of badwater is negated because it is below sea level
The interpretation of the question, is to calculate the distance between the two given points.
This is calculated as:
Open bracket
<em>Hence, the distance between both is 11325ft</em>