If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Part 1:
The statement that is true about <span>the line passing through points A and B is
</span><span>The line has infinitely many points.
</span>
<span>Beacause of the arrows at the endpoints, the line does not have a finite length that can be measured.
</span><span><span>Any segment with at least two points has infinitely many points, because, intuitively, given any two distinct points, there is a third one, distinct from both of them, say, the middle point.
Thus, t</span>here are not only two points on the entire line.
The line can be called AB or BA, so there is not only one way to name the line.
</span>
Part 2:
Line FM can also be named line MF.
Therefore, the correct name for line FM is line MF.
The answer is true. Exterior Angle Theorem: The measurement of an exterior angle of a triangle is equal to the sum of the two remote interior angles. <span />
Based on the rate of increase, the number of employees that will be there in 2016 is<u> 21,927 people.</u>
<h3>Number of employees in 2016</h3>
This can be calculated by the formula:
= Employees in 2009 x ( 1 + rate of increase)
Solving gives
= 19,100 x (1 + 14.8%)
= 21,926.8
= 21,927 people
In conclusion, there will be 21,927 people in 2016.
Find out more on rates of increase at brainly.com/question/3040628.
343in3 is the answer to this math question
