1. Calculate how many hours passed between her temperature checks. 8 p.m to 8 a.m. is 12 hours.
2. Calculate the total change in temperature. 36 - 54 is -18, so the temperature went down by 18 degrees.
3. We are looking for degrees per hour, so we put derees(18) over hours (12) to get 18/12.
4. Calculate by dividing. The answer is 1.5 degrees per hour.
The area of the polygon is 610
Answer:
Step-by-step explanation:
The line has a slope of -1/3. For lines to be perpendicular there product must equal negative 1
m1(m2)=-1
-m/3=-1
m=3
So we know our line has a slope of three so
y=3x+b, we can solve for the y intercept, b, using point (-2,8)
8=3(-2)+b
8=-6+b
b=14, so our line is
y=3x+14
The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula:

Were

is the area in square kilometers

is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so

. Lets replace that value in our formula to find

:

Now, to find the population density of the filed, we are going to use the population density formula:

where

is the population density in <span>in burrows per square kilometer
</span>

is the number of burrows

is the are of the field
We know that

and

, so lets replace those values in our formula:


We can conclude that the <span>density of prairie dog burrows is approximately
2444 burrws per square kilometer.</span>