The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. which of the following equations can be used to model the height as a function of time, t, in hours? assume that the time at t = 0 is 12: 00 a. m

Y=Acos(p)+m, A=amplitude, p=period, m=midline, in this case:

A=1/2, p=360(t/12)=30t, m=(10-9)/2+9=9.5 so

h(t)=(1/2)cos(30t)+9.5

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )