Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
Answer:
<u>3</u>
Step-by-step explanation:
4 x 6 = 24
24 divided by 8 = <u>3</u>
<u>3</u> x 8 = 24
Answer:
No solution
Step-by-step explanation:
3x + 6y =36
-3x - 6y =0
------------------add
0 ≠ 36
No solution
Find the GCF (Greatest Common Factor)
GCF = 2x
Factor out the GCF (Write the GCF first and then, in parentheses, divide each term by the GCF.)
2x (2x^3/2x + 4x^2/2x + 6x/2x)
Simplify each term in parentheses
-2x(x^2 + 2x + 3)
<u>Answer D. -2(x^2 + 2x + 3)</u>
