Answer:
The answer should be D. 120 degrees
Answer:
125, 216, 343,
Step-by-step explanation:
As we can see on the picture we have a rectangle and half of circle.
The areas for half circle and rectangle are:
![A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3EA_%7Brectangle%7D%3Da%5Ccdot%20b%20%5C%5C%3C%2Fp%3E%3Cp%3EA_%7Bhalfcircle%7D%3D%5Cfrac%7BA_%7Bcircle%7D%7D%7B2%7D%3D%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7D%3C%2Fp%3E%3Cp%3E)
The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.
Now we calculate the areas.
![A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3EA_%7Brectangle%7D%3D10%5Ccdot%206%3D%5Cunderline%7B60%7D%20%5C%5C%3C%2Fp%3E%3Cp%3EA_%7Bhalfcircle%7D%3D%5Cfrac%7B3.14%5Ccdot3%5E2%7D%7B2%7D%3D%5Cunderline%7B14.13%7D%20%5C%5C%3C%2Fp%3E%3Cp%3EA_%7Btotal%7D%3DA_%7Brectangle%7D%2BA_%7Bhalfcircle%7D%20%3D60%2B14.13%3D%5Cboxed%7B74.13%5Capprox74%7D%3C%2Fp%3E%3Cp%3E)
The area of the figure is approximately 74ft squared.
Hope this helps.
r3t40
Since it's isosceles, ∠ABC = (180-30) / 2 = 75