If cos y = 8/9 then what is the positive value of tan1/2y, in simplest radical form with a rational denominator?

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The daily production of a company is modeled by the function p = -w^2 + 75w - 1200. the daily production, p, is dependent on the number of workers (w) present. if the break-even point is when p=0, what are the least and greatest number of workers the company must have present each day in order to break even? 50 points! will give brainliest!