Which table has a constant of proportionality less than 5?
1 answer:
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Answer:
Volume of Pipe is 226 ft³.
Step-by-step explanation:
Given:
Cylindrical Shape Pipe having
Height = 18 ft
Diameter = 4 ft
∴
To Find:
Volume of Pipe = ?
Solution:
Formula for Volume of Cylinder is given by
Substituting the given values we get
Volume of Pipe is 226 ft³.
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Step-by-step explanation:
Here we are given that , the Value of
And we need to find the prove that ,
We know a identity as ,
On cubing both sides of the given equation,
Simplify and then substitute ,
Hence Proved !