Asound wave is given the following equation:

y= 8 sin(512πt) where t= time in seconds.

how many cycles will occur between t=2 and t=3.5 seconds?

384

Step-by-step explanation:

Standard equation of a sine wave is:

y = A sin(2πf x + B) + C

where A is the amplitude, f is the frequency, B is the phase shift, and C is the vertical offset.

In this case:

2πf = 512π

f = 256

This means there are 256 cycles per second.  The number of cycles between t = 2 and t = 3.5 is:

(3.5 − 2) × 256

384

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk