The volume of a cuboid is given by length × width × height
We have:
Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x
Substituting these into the formula, we have:
7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6
Drawing the graph is one way of finding the solution (refer to the graph below):
We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8
Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft
Converting 0.8 ft into inches = 0.8 × 12 inches = 9.6 inches
Answer: x = 9.6 inches
Solve : 3x-2 = 0
Add 2 to both sides of the equation :
3x = 2
Divide both sides of the equation by 3:
x = 2/3 = 0.667
Two solutions were found :
x = 2/3 = 0.667
x = 0
hope this helped
36 degree :
Step-by-step explanation:
if the value of angleA= x , angleB=2x , angle C=3x and angle D=4x . the value of x is 36 degree