<u>Answer:</u>
4
<u>Step-by-step explanation:</u>
We are given that a PE class has 12 boys and 8 girls. The teacher needs to divide in maximum number of teams so that each team has an equal number of boys and girls.
For this, we will factors of 12 and 8 and their greatest common factor.
12 = 4 × 3 = 2 × 2 × 3
8 = 4 × 2 = 2 × 2 × 2
The greatest common factor is 4, therefore the maximum number of teams with equal number of boys and girls is 4.
Amount if decrease:
450-360=90 organic pears
Original amount:
450 organic pears
90÷450=0.2 or 20%. As a result, the percent decrease is 20%. Hope it help!
You can calculate polygon area with only apothem OR side length.
apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 *
<span>
<span>
<span>
3.4641
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.677056
</span>
</span>
</span>
square yards
side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.1231488698
</span>
</span>
</span>
square yards
If apothem and side length were given with more precision, the answers would be closer.
Source:
http://www.1728.org/polygon.htm
Answer: y-value of the vertex of a ∪-shaped (positive) parabola
<u>Step-by-step explanation:</u>
For a quadratic: it is the y-value of the vertex of a positive parabola.
<em>If it is a negative parabola ( ∩-shaped), it is the maximum.</em>
For a cubic: it is the y-value of all of the vertices of the ∪-shaped sections of the graph. These are typically referred to as the "relative minima" when given an interval.