Answer:
m = -6
Step-by-step explanation:
-8m + 4 = 52
-8m = 48
-8m/-8 = 48/-8
m = -6
Answer: a = 23, b = 21, c = 136
Step-by-step explanation:
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:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (
) is described by the following expression:
(1)
Where:
- Input.
- Output.
If we know that 
, 
and 
, then the constants of proportionalities of each ordered pair are, respectively:
Since 
, the constant of proportionality is 3.5.
600 centimeters > 5 meters
