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14. The water level in a tank can be modeled by the function h(t)=8cos +11.5, where t is the number of
hours since the water level is at its maximum height, h. How many hours pass between two consecutive
times when the water in the tank is at its maximum height?
I

2π hours

Step-by-step explanation:

Given the following function:

h(t)=8*cos(t) + 11.5

we want to find its period. This function has the following form:

y = A*cos(B(x + C)) + D

where:

A = 8

B = 1

C = 0

D = 11.5

which period is computed as: 2π/B. Then, for the case of the problem:

period = 2π/1 = 2π hours

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.