To find the length of a square given the area, we just need to take the square root of the area given. The sqrt of 36 is 6, so each side is 6 inches. :)
Answer:
<em>There's an infinite number of possible answers because there might be any multiplication of 3 for boys and any multiplication of 2 for girls. So, for example:</em>
<em>There might be 3 boys and 2 girls.</em>
<em>There might be 6 boys and 4 girls.</em>
<em>There might be 9 boys and 6 girls.</em>
<em>There might be 12 boys and 8 girls.</em>
<em>etc...</em>
<em>In each case the ratio stays the same - 3 : 2.</em>
<em>Of course there probably can't be more than a few dozens of people in one class, but theoretically we can raise the numbers up to infinite.</em>
Step-by-step explanation:<em>hope this help.</em>
Answer:
n = 179
Step-by-step explanation:
See it in the pic
Answer:

Step-by-step explanation:
We want to solve the equation:

Over the interval [0, 2π).
First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

Rearrange:

Factor:

Zero Product Property:

Solve for each case:

Back-substitute:

Using the unit circle:

Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)