The range of values of x as shown in the diagram is -9 < x < 15
<h3>Inequality expressions</h3>
Inequality are expressions not separated by an equal sign. The required inequality expression is given as:
|9x - 27| < 108
For the positive inequality
9x - 27 < 108
9x < 108 +27
9x < 135
x < 15
For the negative inequality
-9x + 27 < 108
-9x < 108 - 27
-9x < 91
x > -9
-9 < x
Hence the range of values of x as shown in the diagram is -9 < x < 15
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Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
50.2 square cm
Step-by-step explanation:
Diameter = 8 cm
Radius = 8/2 = 4 cm
