Answer:
<em>The polygon area is </em>
<em />
Step-by-step explanation:
Points:
(2,7), (8,2), (6,11), (6,5), (11,6)
1. The area of the polygon could be calculate with the eqation:
![A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%26y_%7B1%7D%5C%5Cx_%7B2%7D%20%26y_%7B2%7D%5C%5Cx_%7B3%7D%20%26y_%7B3%7D%5C%5Cx_%7B4%7D%20%26y_%7B4%7D%5C%5Cx_%7B5%7D%20%26y_%7B5%7D%5Cend%7Barray%7D%5Cright%5D)
2. Replace the coordinates in equation for A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D)
3. Solve the determinant, and calculate A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%286%29%287%29%2B%2811%29%2811%29%2B%288%29%286%29%2B%286%29%282%29%5D-%5B%282%29%2811%29%2B%286%29%286%29%2B%2811%29%282%29%2B%288%29%285%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B42%2B121%2B48%2B12%5D-%5B22%2B36%2B22%2B40%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B223%5D-%5B120%5D%5C%5C%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B103%5D%3D51%2C5%20U%5E%7B2%7D)
<em>The polygon area is </em><em />
We need to convert 2 kilograms into pounds. First, we find how many pounds are in 1 kilogram.
There are about 2 pounds in one kilogram.
Then we multiply 2 pounds by 2 kilograms to convert the 2 kilograms into pounds.
2 * 2 = 4
So, the answer to this question is 4 pounds.
Answer:
x1= -7 , x2 = 7
Step-by-step explanation:
x^2 = 37 +12
x^2 = 49
x = -7 or 7
I hope this helps you
3p^4(84p^8)
3.84.p^12
252.p^12
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)
