Answer:
![2489ft^{2}](https://tex.z-dn.net/?f=2489ft%5E%7B2%7D)
Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>
From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:
![A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}](https://tex.z-dn.net/?f=A_%7Bt%7D%3D%5Cfrac%7Bb.h%7D%7B2%7D%3D%5Cfrac%7B%2820ft%29%2825ft%29%7D%7B2%7D%3D250ft%5E%7B2%7D)
<h3>Area of each circular section:</h3>
From the figure, we know that
and the radius is
. So, the are would be calculated with this formula:
![A_{cs}=\frac{\pi R^{2}\alpha}{360\°}](https://tex.z-dn.net/?f=A_%7Bcs%7D%3D%5Cfrac%7B%5Cpi%20R%5E%7B2%7D%5Calpha%7D%7B360%5C%C2%B0%7D)
Replacing all values:
![A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}](https://tex.z-dn.net/?f=A_%7Bcs%7D%3D%5Cfrac%7B%283.14%29%2830ft%29%5E%7B2%7D%282.21radians%29%7D%7B6.28radians%7D)
Remember that ![360\°=6.28radians](https://tex.z-dn.net/?f=360%5C%C2%B0%3D6.28radians)
Therefore, ![A_{cs}=994.5ft^{2}](https://tex.z-dn.net/?f=A_%7Bcs%7D%3D994.5ft%5E%7B2%7D)
Now, the total are of the figure is:
![A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}](https://tex.z-dn.net/?f=A_%7Btotal%7D%3D2A_%7Bt%7D%2B2A%7Bcs%7D%3D2%28250ft%5E%7B2%7D%20%29%2B2%28994.5ft%5E%7B2%7D%29%5C%5CA_%7Btotal%7D%3D500ft%5E%7B2%7D%20%2B%201989ft%5E%7B2%7D%3D2489ft%5E%7B2%7D)
Therefore the area of the symmetrical pool is ![2489ft^{2}](https://tex.z-dn.net/?f=2489ft%5E%7B2%7D)
Um... I beleive its A due to 2x times 3x with an exponet of 2 would make 6x with the exponet of 2 then you would add 5
Answer:
-32
Step-by-step explanation:
The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is the same number but positive. So the absolute value of -32 and 32 would both be 32 because they have the same distance from 0.
95,438 - 62,804= 30,000 when rounded
Answer:
8.9
Step-by-step explanation:
Convert √
80 to a decimal.
8.9442719
Find the number in the tenth place 9 and look one place to the right for the rounding digit 4
. Round up if this number is greater than or equal to 5 and round down if it is less than 5
.