Record your data.
| | Record your data. | S (cm) | SS ($cm^2$) | $\frac{1}{S}(cm^{-1})$ |
|---|-------------------|--------|-------------|-------------------------|
| 7 | | | | |
Answer (1)
Calculate SS by squaring S: SS = 7 2 = 49 .
Calculate 1/S by taking the reciprocal of S: S 1 = 7 1 .
Fill in the table with the calculated values.
The values for the row are S = 7 , SS = 49 , S 1 = 7 1 .
Explanation
Understanding the Problem We are given a table with columns for 'S (cm)', 'SS (cm^2)', and '1/S (cm^-1)'. We need to fill in the missing values for the row where S = 7 cm. We assume that 'SS' represents the square of S, and '1/S' represents the reciprocal of S.
Calculating SS We are given that S = 7 cm. To find SS (which we assume is S squared), we calculate: SS = S 2 = 7 2 = 49
Calculating 1/S Next, we calculate 1/S, which is the reciprocal of S: S 1 = 7 1 ≈ 0.142857
Final Answer Therefore, we can fill in the table with the calculated values.
Examples
Understanding relationships between a side length, its square, and its reciprocal is fundamental in various fields. For example, in physics, the area of a square solar panel (SS) determines its energy-collecting capability based on its side length (S). Knowing the reciprocal (1/S) can be useful in scaling calculations or determining proportions in engineering designs. This exercise reinforces basic geometric principles and their practical applications.
