Answer: OPTION C.
Step-by-step explanation:
It is essential to consider the following:
Dilation:
- A transformation where the image retains the same shape as the original but differs in size.
- Dilation maintains the order of points.
- Measurements of angles remain unchanged.
Translation:
- A transformation that keeps the image identical in size and shape to the original.
- Translation preserves the ordering of points.
- The angle measurements do not change.
Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:
Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
An arithmetic sequence is defined by the property that the difference between each pair of adjacent terms is consistently the same. When this requirement is met, that constant is recognized as the common difference.
This particular sequence is arithmetic, as the difference between each term and the preceding one is
Thus, the common difference is 3.4, considering that the adjacent terms differ by 3.4
Answer:
1458/3456 reduces to 27/64 (after simplification)
The cube root of 27/64 equals 3/4
The square of 3/4 calculates to 9/16
Multiplying 9/16 by 1024 results in 576.
THIS IS THE ACTUAL WORK AND RESULT
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