I believe its 44 but im not 100% sure
1.
Parallelogram with base a = 20 in. and height h = 16 in.
Triangle with base a = 20 in. and height b = 8 in.
so:
![A = A_P+A_T=a\cdot h+\frac{1}{2}\cdot a\cdot b=20\cdot16+\frac{1}{2}\cdot20\cdot8=320+80=\\\\=\boxed{400\text{ in}^2}](https://tex.z-dn.net/?f=A%20%3D%20A_P%2BA_T%3Da%5Ccdot%20h%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20a%5Ccdot%20b%3D20%5Ccdot16%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot20%5Ccdot8%3D320%2B80%3D%5C%5C%5C%5C%3D%5Cboxed%7B400%5Ctext%7B%20in%7D%5E2%7D)
2.
Trapezoid with base b₁ = 14 cm, base b₂ = 4 cm and height h = 10 cm
Triangle with base b₁ = 14 cm and height x = 18 cm - 10 cm = 8 cm
so:
![A=A_T+A_\Delta=\frac{1}{2}\cdot(b_1+b_2)\cdot h+\frac{1}{2}\cdot b_1\cdot x=\\\\= \frac{1}{2}\cdot(14+4)\cdot 10+\frac{1}{2}\cdot 14\cdot8=\frac{1}{2}\cdot18\cdot 10+\frac{1}{2}\cdot 14\cdot8=90+56=\\\\=\boxed{146\text{ cm}^2}](https://tex.z-dn.net/?f=A%3DA_T%2BA_%5CDelta%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%28b_1%2Bb_2%29%5Ccdot%20h%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20b_1%5Ccdot%20x%3D%5C%5C%5C%5C%3D%0A%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2814%2B4%29%5Ccdot%2010%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2014%5Ccdot8%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot18%5Ccdot%2010%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2014%5Ccdot8%3D90%2B56%3D%5C%5C%5C%5C%3D%5Cboxed%7B146%5Ctext%7B%20cm%7D%5E2%7D)
3.
We have three rectangles:
![A=A_1+A_2+A_3=1\cdot 4+6\cdot5+18\cdot6=4+30+108=\boxed{142\text{ ft}^2}](https://tex.z-dn.net/?f=A%3DA_1%2BA_2%2BA_3%3D1%5Ccdot%204%2B6%5Ccdot5%2B18%5Ccdot6%3D4%2B30%2B108%3D%5Cboxed%7B142%5Ctext%7B%20ft%7D%5E2%7D)
4.
Area of a circle:
![A_\circ=\pi\cdot r^2=3.14\cdot5^2=3.14\cdot25=78.5 \text{ cm}^2](https://tex.z-dn.net/?f=A_%5Ccirc%3D%5Cpi%5Ccdot%20r%5E2%3D3.14%5Ccdot5%5E2%3D3.14%5Ccdot25%3D78.5%20%5Ctext%7B%20cm%7D%5E2)
Area of a rectangle:
![A_R=8\cdot 6=48\text{ cm}^2](https://tex.z-dn.net/?f=A_R%3D8%5Ccdot%206%3D48%5Ctext%7B%20cm%7D%5E2)
Area of the shaded region:
V=m/d
V=volume
m=mass
d=density
V=1800/9
V=200
The volume is 200 cubic centimeters
Steve = S , Tom = T
1) S+T = 7777
2) S= 1414 + 2T
put 2) in 1)
1414+2T + T = 7777
1414 +3T = 7777
3T = 6363
so T = 2121
then Steve sold 1414+2(2121) = 1414+4242=5656 tickets
while Tom sold 2121 tickets
Answer:
D
Step-by-step explanation:
![x = 5 - 2y \\ y = 3(5 - 2y) - 8 \\ y = 15 - 6y - 8 \\ y = 7 - 6y \\ 7y = 7 \\ y = 1](https://tex.z-dn.net/?f=x%20%20%3D%205%20-%202y%20%5C%5C%20y%20%3D%203%285%20-%202y%29%20-%208%20%5C%5C%20y%20%3D%2015%20-%206y%20-%208%20%5C%5C%20y%20%3D%207%20-%206y%20%5C%5C%207y%20%3D%207%20%5C%5C%20y%20%3D%201)
![x = 5 - 2y \\ x = 5 - 2 = 3 \\](https://tex.z-dn.net/?f=x%20%3D%205%20-%202y%20%5C%5C%20x%20%3D%205%20-%202%20%3D%203%20%5C%5C%20)