Answer:
96 sq yards
Step-by-step explanation:
40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area
In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>
Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
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Answer:
Step-by-step explanation:
Where's the problem?
The trick to calculating the area here is to subdivide the diagram into smaller parts. For example, there's a 3 cm-by-3cm square. The rectangle is 4 cm by 8 cm.. The triangle has a base of 5 cm and a height of 3 cm.
Total area = area of square + area of rectangle + area of triangle
= 9 cm^2 + 32 cm^2 + (1/2)(5 cm)(3 cm)
= (9 + 32 + 7.5) cm^2
= 48.5 cm^2 (total area of figure)
Answer:
D). 262.5 miles.
Step-by-step explanation:
The speed at which they are drawing apart = 60 + 45 = 105 mph.
So in 2.5 hours they wiil be
2.5 * 105
= 210 + 52.5
= 262.5 miles.