At the Northside assembly plant, 30% of the workers were classied as minority, while at the Southside assembly plant, 60% of the workers were classied as minority. When Northside and Southside were closed, all workers transferred to the new Eastside plant to make up its entire work force. If 40% of the 3750 employees at Eastside are minority, then how many employees did Northside and Southside have originally?A. Northside had 2500 employees, and Southside had 1250 employees. B. Northside had 1250 employees, and Southside had 2500 employees. C. Northside had 1000 employees, and Southside had 1100 employees. D. Northside had 1875 employees, and Southside had 1875 employees.

Step-by-step explanation:

At the Northside assembly plant, 30% of the workers were classied as minority, while at the Southside assembly plant, 60% of the workers were classied as minority. When Northside and Southside were closed, all workers transferred to the new Eastside plant to make up its entire work force. If 40% of the 3750 employees at Eastside are minority, then how many employees did Northside and Southside have originally?

22.62°

Step-by-step explanation:

Looking at the attached diagram, it is a right angled triangle. If we are to solve for the measure of angle x , we would be using the Trigonometric function of cosine

The formula is given as

cos x = Adjacent/ Hypothenuse

Adjacent = 12

Hypothenuse = 13

Therefore,

cos x° = 12/13

x° = cos -¹ (12/13) or arccos (12/13)

x° = 22.619864948°

Therefore, the measure of x to the nearest hundredth = 22.62°