Answer:
![d \approx 12.6](https://tex.z-dn.net/?f=d%20%5Capprox%2012.6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point A (-4, 2)
Point B (8, 6)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.
- Substitute [DF]:
![d = \sqrt{(8+4)^2+(6-2)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%288%2B4%29%5E2%2B%286-2%29%5E2%7D)
- Add/Subtract:
![d = \sqrt{(12)^2+(4)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%2812%29%5E2%2B%284%29%5E2%7D)
- Exponents:
![d = \sqrt{144+16}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B144%2B16%7D)
- Add:
![d = \sqrt{160}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B160%7D)
- Simplify:
![d = 4\sqrt{10}](https://tex.z-dn.net/?f=d%20%3D%204%5Csqrt%7B10%7D)
- Evaluate:
![d = 12.6491](https://tex.z-dn.net/?f=d%20%3D%2012.6491)
- Round:
![d \approx 12.6](https://tex.z-dn.net/?f=d%20%5Capprox%2012.6)
5.46 ÷ 3 = 1.82
1.82 x 5 = 9.1
The answer is "9.10"
8*10*14 = 1120
10*8*10 = 800
1120+800 = 1920
volume =1920 cm3
Answer:
Step-by-step explanation:
area of top=7×6=42 yd²
area of bottom=3×6=18 yd²
area of two rectangles=2[4×6]=48 yd²
area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²
total surface area=42+18+48+35=143 yd²