Which of the following accurately shows the range of the function defined below?
1 answer:
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The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.
<h3>What is ratio?</h3>Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.
The ratio of the heights of these pyramids is given by:
Ratio = Height of pyramid A : Height of pyramid B
Ratio = (3V/lw) : (V/lw)
Ratio = 3 : 1.
The ratio of the base areas of these pyramids is given by:
Ratio = Base area of pyramid A : Base area of pyramid B
Ratio = (3a)² : a²
Ratio = 9a : a
Ratio = 9 : 1.
The ratio of the volumes of these pyramids is given by:
Ratio = Volume of pyramid A : Volume of pyramid B
Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3
Ratio = 27 : 1.
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Answer:
Area of the composite figure = 42 in²
Step-by-step explanation:
Composite area of the given figure = Area of the rectangle + Area of the right triangle
Area of the rectangle = Length × Width
= 6 × 5
= 30 in²
Area of the right triangle =
=
= 12 in²
Area of the composite figure = 30 + 12
= 42 in²