We can find the volume of one of the cubes, then multiply by 3996 to find the total volume.
The edge lengths are 1/3, so the area of one cube is:
(1/3)^3 = 1/27
The area of the prism is:
3996 * (1/27) = 148 in^3
<em>C) 20 points</em>
- Step-by-step explanation:
<em>James - 5</em>
<em>Richard + 15</em>
<em>What is the difference in their scores ?</em>
<em>+ 15 - (- 5) =</em>
<em>= 15 + 5</em>
<em>= 20 points</em>
Answer:
Read below.
Step-by-step explanation:
Possible equations with x as 3:
2x=6
3x=9
4x=12
5x=15
10x=30
10+2x=16
4x+32=44
23-5x= 8
42÷2x=7
2x × 2=12
These are just a few possibilities with x as 3.
Answer:
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Step-by-step explanation:
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10