Pertanyaan
23. Pie gages contain __ triangular sections? a. 4 b. 6 C. 8 d. 10
Jawaban
Pie gages, also known as pie charts or pie graphs, are circular charts divided into sectors, each representing a proportion of the whole. The number of triangular sections in a pie gauge is equal to the number of data points or categories being represented.
For a typical pie gauge with 23 sections, the number of triangular sections can be calculated using the formula for the number of diagonals in a polygon:
\[ \text{Number of diagonals} = \frac{n(n-3)}{2} \]
where \( n \) is the number of sides (or sections). In this case, \( n = 23 \):
\[ \text{Number of diagonals} = \frac{23(23-3)}{2} = \frac{23 \times 20}{2} = 230 \]
However, since we are looking for triangular sections specifically, we need to consider that each diagonal forms two triangular sections. Therefore, the total number of triangular sections is:
\[ \text{Total triangular sections} = \frac{23 \times 20}{2} = 230 \]
This calculation seems incorrect for the given options. Let's re-evaluate the problem with a simpler approach:
A pie chart with 23 sections will have 23-3 = 20 diagonals, and each diagonal forms two triangular sections. Thus, the total number of triangular sections is:
\[ \text{Total triangular sections} = 20 \times 2 = 40 \]
However, this also does not match any of the given options. It appears there might be a misunderstanding or missing information in the problem statement. Given the options provided, none of them correctly matches the calculated number of triangular sections.
Given the provided options and the typical structure of pie charts, it is likely that the question intended to ask about the number of sectors or sections rather than triangular sections. In that case, a pie chart with 23 sections would indeed have 23 triangular sections.
Jawaban: The correct answer should be 23, but since it is not listed among the options, none of the provideda. 4, b. 6, c. 8, d. 10) are correct.
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