Divide 80/3 which equals 26.6. So it take Courtney 26.6 minutes to walk 1 mile. Then divide 110/26.6 which equals 4.1.
Courtney walls 4.1 miles in 110 minutes.

<h2>Given :- </h2><h2 />
- Side of the square field = 70m
- Length of the rectangular field = 90m
- Breadth of the rectangular field = 60m
<h2>To Find :-</h2>
- Perimeter of the square field
- Perimeter of the rectangular field
<h2>Solution :-</h2>
Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
<h3><u>Hence, </u><u>Faliha</u><u> runs 280m around a Square </u><u>field</u></h3>
Perimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
<h3><u>Hence, Rameen runs 300m around a rectangular field</u></h3>
By comparing perimeters, Rameen runs more than Faliha
Distance runs more by rameen = Distance covered by rameen - distance covered by faliha
By substituting values,
⇒ 300m - 280m
➠ 20m
<h3><u>Hence, </u><u>Rameen</u><u> runs more around a rectangular field by 20</u><u>m</u></h3>
<u>
</u>
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
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At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
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I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
1) According to the table represented above, the number of games that can be played when 7 players are in the tournament is definitely 21 games. As you can see, in the last row there are 4 players to 5,which means that we have 4 new games. The same happens if we go from 3 players to 4, and finelly we have 3.
<span>
2) And what about the </span>recursive rule for the original sequence, the approrpiate one is <span>an = an-1 + n - 1, so the answer is lying in the second option from the scale.
</span>According to the fact that the number of games is actually the sum of integers from 1 to n-1 we expect to have n number of players.
<span>I am sure it's clear now!
</span>
<h2>Answer:</h2><h2>-4</h2><h2 /><h2>Hope this helps!!</h2>