The displacement of a swinging ball in simple harmonic motion is modeled by the equation d=8sin(16t), where t is measured in seconds. If d is measured in centimeters, what is the displacement to the nearest centimeter when t=12?

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Find the actual dimensions of the box. the side length are in meters and integers. the surface area of the box is 104 m2 and volume of the box is 60 m3.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle