Answer:
6). unknown side is 6.23m
7). angle is 26.58 degrees
Step-by-step explanation:
you must use the Pythagoras theorem formula to find the unknown side if you have only two sides
Find the dimensions of a rectangle with perimeter 116 m whose area is as large as possible. (if both values are the same number,
1 answer:
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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:
The first equation is
The second equation is
When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.
We can solve the two equations simultaneously to determine their point of intersection.
Let us substitute the second equation into the first equation to get;
Multiply through by 2 to get;
Group similar terms to obtain;
Simplify;
Divide both sides by 3;
Put into the second equation;
Therefore the graphs of the two functions intersect at (2,3)
See graph in attachment.
