Answer:
C
Step-by-step explanation:
1000 miles a month
12 months in a year
so 12,000 miles
divided by 4,000
simple... 3 ;)
Answers:
Scale factor is 8:5
Area ratio is 64:25
Volume ratio is 512:125
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Explanation:
Divide the second surface area (375) over the first surface area (960) to get
375/960 = 0.390625
Then take the square root of this to get
sqrt(0.390625) = 0.625
The decimal value 0.625 converts to the fraction 5/8, which turns into the scale factor 8:5
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Once you know the scale factor, you can square both sides to get the area ratio
8:5
8^2:5^2
64:25
The area ratio is 64:25
Then go back to the scale factor, and cube each part to get the volume ratio
8:5
8^3:5^3
512:125
The volume ratio is 512:125
Answer:

Step-by-step explanation:
Solution:-
The position of any particle or object lying on a circular surface which is rotating with an angular speed of ( w ).
The motion of the particle/object can be expressed as sinusoidal or harmonic motion. We can express the motion of the particle in the cartesian coordinate system using a sinusoidal waveform.
The position of the particle/object from the central axis at time t = 0 can be given in the form:
h ( t ) = A*sin ( w*t )
Where, A: The amplitude of the particle in motion ( in )
w: The angular frequency of rotation ( rad/s )
The amplitude ( A ) of the sinusoidal waveform is determined from the maximum displacement of the particle/object from the horizontal axis which defined by the radius of the fidget spinner where the particle is located. Hence, A = 4 in
The fidget rotates at 3000 rpm. We need to determine the angular speed of the particle. Assuming no slip conditions, the particle also rotates at 3000 rpm.
We will first convert 3000 rpm into rad/s as follows:

The sinusoidal function that models h ( t ) can be written as:
