Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
__
<em>Check</em>
The modified figure is 8 cm by 4 cm = 32 cm^2.
Given :
The Ironman endurance race has a 2.4 miles swim.
Javier can swim 0.5 miles in 20 minutes.
To Find :
How much time in hours it takes to complete the race.
Solution :
Speed of Javier :
![s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B2.4%7D%7B%5Cdfrac%7B20%7D%7B60%7D%7D%5C%20mph%5C%5C%5C%5Cs%3D%207.2%5C%20mph)
Let, time taken to cover 2.4 miles is t .
So,
![t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B2.4%7D%7B7.2%7D%5C%20hours%5C%5C%5C%5Ct%20%3D%200.33%5C%20hours)
Hence, this is the required solution.
Answer:
37,145
Step-by-step explanation:
43,700×15%= 6,555
43,700-6,555= 37,145
the previous population was 37,145
The ratio of the trout with tags that are caught and the total trout with tags is first calculated.
r = 12 trout / 180 trout = 1/15
Then, we divide the number of trouts caught without tag by the value obtained above.
N = (48 - 12) / (1/15) = 540
Then, we add the number obtained above and 180.
T = 540 + 180 = 720
ANSWER: 720