To answer this question, we begin to transform the speed of revolutions per minute in radians per minute.
They tell us that the speed of the wheel is 3 turns in 6 minutes.
So:
1 revolution = 2π
(2π / 1 turn) * (3 turns / 6min) = 6π/ 6min = 1π / min.
The wheel turns π or 180 ° in one minute.
We already have the angular velocity w.
We know that the lowest point of the wheel is 4 meters above the ground and that it returns to the same point every 2π
Therefore, the function sought is periodic and must be equal to 4 for allvalues of time k, where k is an even number 2, 4, 6, 8, .., k
Then the function must have the form rsin(wt) where "t" is the elapsed time, "w" is the previously calculated angular velocity, and "r" is the radius of the wheel.
The minimum value of the function must be 4 and the maximum value 54.
Therefore, the function is:
h (t) = 4 + 25 + 25sin (π×t + 3π / 2)
Where 3π/ 2 is the phase angle, which indicates that the movement starts at the instant t = 0 at the lowest point of the wheel that equals 3π / 2.
You can verify the answer in the following way:
After 1 minute, the wheel should have rotated 180 ° or π. Therefore, the person must be at the highest point of the wheel and his height must be 54 m.
When you replace t = 1 in the formula, you get h = 54m
After 2 minutes, the wheel should have rotated 360 ° or 2π. Therefore, the person must be at the starting point and their height must be 4 m.
By replacing t = 2 in the formula you will get h = 4m
After 0.5 minutes, the wheel should have rotated 90 ° or π / 2. Therefore, the person must be in the right half of the wheel and his height must be 29 m.
When replacing t = 0.5 in the formula you will get h = 29m
Answer:
because if in 40:35 you divide 40 and 35 by 5 it is equal to 8:7
Answer: The slope is 0.
Step-by-step explanation: If the line is horizontal, the slope is 0
The rise is 0. 0 divided by any number is 0.
If the line is vertical, the slope is undefined.
No number can be divided by 0, so mathematicians call this situation "undefined."
Area of trapezoid = 1/2(b1+b2)h
b1 and b2 are top and bottom bases
so b1 = 15.8 and b2 = 21.8
h is height so h = 11.7
so
A = 1/2(15.8 + 21.8)(11.7)
A = 1/2(37.6)(11.7)
A = 219.96
answer
D. 219.96 yd^2
Answer:
Use the inflection points to set up intervals. Substitute a value into each interval to find where the curve is concave up or down.
The graph is concave up
