Law of cosines:
b^2 = a^2+c^2 -2*a*c*cos(B)
b^2 = 400^2 + 240^2 - 2*400*240*cos(16)
b^2 = 217600 - 184562.25
b^2 = 33037.75
b = sqrt(33037.75)
b = 181.76 = 181.8 yds.
The answer is D.
Answer:
70
Step-by-step explanation:
200 x 35%
or
200 x .35
Step 1:
Find the mid-point of the vertices
Let the coordinates of the mid-point = (x , y)
Vertices = ( -2, 0 ) and (2, 0)
![\begin{gathered} x\text{ = }\frac{-2\text{ + 2}}{2}\text{ = }\frac{0}{2}\text{ = 0} \\ y\text{ = }\frac{0\text{ + 0}}{2}\text{ = }\frac{0}{2}\text{ = 0} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B-2%5Ctext%7B%20%2B%202%7D%7D%7B2%7D%5Ctext%7B%20%20%3D%20%20%7D%5Cfrac%7B0%7D%7B2%7D%5Ctext%7B%20%3D%200%7D%20%5C%5C%20y%5Ctext%7B%20%3D%20%7D%5Cfrac%7B0%5Ctext%7B%20%2B%200%7D%7D%7B2%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7B0%7D%7B2%7D%5Ctext%7B%20%3D%200%7D%20%5Cend%7Bgathered%7D)
Mid - point = ( 0, 0 ) = ( h, k)
Minor axis = 4
a = 2
b = 1
Final answer
![\begin{gathered} \frac{(x-h)^2}{b^2}\text{ + }\frac{(y-k)^2}{a^2}\text{ = 1} \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%28x-h%29%5E2%7D%7Bb%5E2%7D%5Ctext%7B%20%2B%20%7D%5Cfrac%7B%28y-k%29%5E2%7D%7Ba%5E2%7D%5Ctext%7B%20%3D%201%7D%20%5C%5C%20%20%5Cend%7Bgathered%7D)
![\frac{(x-0)^2}{1^2}\text{ + }\frac{(y-0)^2}{2^2}\text{ = 1}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-0%29%5E2%7D%7B1%5E2%7D%5Ctext%7B%20%2B%20%7D%5Cfrac%7B%28y-0%29%5E2%7D%7B2%5E2%7D%5Ctext%7B%20%3D%201%7D)
Hours of work: 40....20....10....6
Payment per hours: 400....200...100...60
Or
Hours of work:2....4....6
Payment per hours:20....40....60. Luz earns 10 dollars per hour.