Material=wall+2*side and material is 40 ft so:
40=w+2s
w=40-2s
Area=ws, using w from above we get:
A=(40-2s)s
A=40s-2s^2
dA/ds=40-4s and d2A/ds2=-4
Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.
dA/ds=0 when 4s=40, s=10 ft
And since w=40-2s, w=20 ft
So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall. And the maximum possible area is thus 200 ft^2
Answer:
63
Step-by-step explanation:
4*15=60 60*3.14=188.4 188.4*1/3= 62.8 rounded that would be 63
Answer:
The percentage decrease of the number of visitors to Alec's website from February to March is 14.8 %
Step-by-step explanation:
Explanation:
Percent decrease is a measure of percent change, which is the extent to which something loses value.
Step 1:
Find out the difference (decrease) between the number of visitors in march and February
Decrease =number of visitors in Fe bury- Number of vsitors in march
Decrease= 1,586- 1,352
Decrease =234
Step 2:
Divide the decrease by the original number of visitors and multiply the answer by 100.
Percent decrease= 
Percent decrease= 
Percent decrease= 
Percent decrease =14.88
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

Multiply the numerators and denominators together:

Simplify by dividing:

So it rained for 10 hours.
11t=120(12)
11t=1440
t=1440/11
However t is in hours and we want to know days so:
d=(1440/11)/24
d=1440/264
d=60/11
d=5 5/11 days<span>is a mixed number 5+5/11 days. Approximately 5.45 days....</span>