Tutor profile: Crystal C.
Angles A and B are complementary and the measure of angle A is half the measure of angle B. Find the measures of angles A and B.
When two angles are complementary, they add up to 90 degrees. So we are given that A + B = 90 degrees. We are also given that Angle A is 1/2 the measure of angle B. So A = 1/2B. Substitute A in the other equation to get (1/2B) + B = 90 degrees. Solve for B, yielding B = 90/1.5 = 60 degrees. So, B = 60 degrees, leaving A = 30 degrees.
What is the reciprocal of -2?
A reciprocal is a number that when multiplied by its opposite will always yield 1. What multiplied by -2 will be 1? Any integer is understood to be divided by 1, so -2 can be written as -2/1. To get a product of 1, we would need to multiply by the reciprocal which is -1/2. Therefore, -1/2 is the reciprocal of -2.
A company sells $20,000 worth of product in a month. This is an increase of 35% from the month before. How much were the sales of the previous month?
Set up an equation and let x represent the value of sales of the previous month. The previous months sales is 100% plus a 35% increase, 135% of x = 1.35x = 20,000. Divide both sides by 1.35 to get x = $20,000/1.35, and this yields x = $14,814.
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