Answer:
7 feet is the length of the blade of the windmill.
Step-by-step explanation:
We have the equation
h = 7 sin(pi/21t) + 28 ------ eq1
At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as : y = A sinωt + k ----- eq2
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing eq1 and eq2:
A = 7
so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.
Hence, the length of the blade is 7 feet.
9514 1404 393
Answer:
Step-by-step explanation:
A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.
Rotational symmetry of 40° applies.
Rotational symmetry of 200° applies.
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures 
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:
Finally, the exact value of the position of the rider after the carousel rotates 
radians is:
Answer:
a
Step-by-step explanation:
We first require the fraction of English to Total
Total = 84 + 38 + 18 + 47 + 69 = 256 , then
× 100% ≈ 27% ( nearest whole number )
Answer:
<h2>B. 2x + y = 4</h2>
Step-by-step explanation:
Having the system of equations in its simplest form
If
then the system of equations has infinitely many solutions.
If
then the system of equations has no solution.
If
then the system of equations has one solution.
We have the equation
Convert to the standard form Ax + By = C<em>:</em>
<em /><em> add 2x to both sides</em>
