Answer:
let second side be x
then first side = x-13
third side= x+1
now
perimeter of triangle = 45
x-13+x+x+1=45
3x=57
x=19
first side = x-13= 19-13=6
third side= x+1=19+1=20
Step-by-step explanation:
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where 
is the width at the base, 
is the height, and 
is the length.
Substitute in the known values.
Simplify — use multiplication.
Simplify — use division.
The volume — or in this case, the amount of living space — is 
.
2x + 4 1/5 = 9
2x = 9 - 4 1/5
2x = 5 1/5
2x divided by 2 = x
5 1/5 divided by 2 = 13/5 (2 3/5, or 2.6)
x = 13/5 (2 3/5, or 2.6)
1) Graph the corresponding equation \( x = 2 \); this will split the plane into two regions. One of the region represents the solution set.
2) Select a point situated in any of the two regions obtained and test the inequality. If the point selected is a solution, then all the region is the solution set. If the selected point is not a solution, then the other (second) region represents the solution set.
3) Test: In this example, let us for example select the point with coordinates (3 , 2) which is in the region to the right of the line x = 2. If you substitute x in the inequality \( x ≥ 2 \) by 3 it becomes \( 3 ≥ 2 \) which is a true statement and therefore (3 , 2) is a solution. Hence, we can conclude that the region to the right of the vertical line x = 2 is a solution set including the line itself which is shown as a solid line because of the inequality symbol \( ≥ \) contains the \( = \) symbol. The solution set is represented by the blue hash region in the graph below including the line x = 2.
