Sin(α) = sin (90-Ф)
The right answer is <span>b. In any right triangle, the sine of one acute angle is equal to the sine of its complementary angle.</span>
A rational number is a number that can be written as a simple fraction (as a ratio) and an irrational number is a number that cannot be written as a simple fraction (irrational means not rational) Example: 1.5 is rational because it can be written as 3/2. 7.5 is rational because it can be written as 15/2, so in my mind, yes it is rational because both top and bottom are rational. Hope this helped!! :):)
Answer:
He pays taxes on the amount after the discount. So 10% of $40.50 versus $45.
Step-by-step explanation:
10% on $40.50 = $4.05
10% on $45.00 = $4.50
First you find the common deoninator.
Step 1: Reduce (simplify) entered fractions to lowest terms, if the case:Fraction: 5 / 6 it's already reduced to lowest terms
Fraction: 11 / 12 it's already reduced to lowest terms
Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions:Denominator 6, factored = 2 * 3
Denominator 12, factored = 22<span> * 3</span>
LCM (6, 12) = 22<span> * 3 = 12</span>Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator):For fraction: 5 / 6 is 12 : 6 = (22<span> * 3) : 6 = 2</span>
For fraction: 11 / 12 is 12 : 12 = (22<span> * 3) : 12 = 1</span>
Step 4: Expand fractions to bring them to the common denominator (LCM):5 / 6 = (2 * 5) / (2 * 6) = 10 / 12
<span>11 / 12 = (1 * 11) / (1 * 12) = 11 / 12</span>
Use the quadratic formula to get x = (3 - 2*sqrt(6))/3 or x = (3 + 2*sqrt(6))/3
