Math Problem Statement

solve

Solve the table involving transmitted and reflected light values for various conditions, calculating the percentage of transmitted and reflected light.

Solution

It seems that you have uploaded an image related to a table that involves calculating the percentage of transmitted and reflected light for various conditions (Clear, Foil, Black, and White).

To fill in the blanks for the "% Transmitted" and "% Reflected" columns, we will need to perform the following calculations:

  1. % Transmitted:
    % Transmitted=(Transmitted light (lux)Incoming light (lux))×100\% \text{ Transmitted} = \left( \frac{\text{Transmitted light (lux)}}{\text{Incoming light (lux)}} \right) \times 100

  2. % Reflected:
    % Reflected=(Reflected light (lux)Incoming light (lux))×100\% \text{ Reflected} = \left( \frac{\text{Reflected light (lux)}}{\text{Incoming light (lux)}} \right) \times 100

I will now calculate the missing values based on the given information.

For the "Clear" condition:

  • Incoming light = 1680 lux
  • Transmitted light = 1360 lux
  • Reflected light = 230 lux

Let me calculate that. Given values for the Clear condition incoming_clear = 1680 transmitted_clear = 1360 reflected_clear = 230

Calculating % Transmitted and % Reflected for Clear

percent_transmitted_clear = (transmitted_clear / incoming_clear) * 100 percent_reflected_clear = (reflected_clear / incoming_clear) * 100

percent_transmitted_clear, percent_reflected_clearFor the "Clear" condition:

  • % Transmitted = 80.95%
  • % Reflected = 13.69%

Now, let's move on to the "Foil" condition:

  • Incoming light = 1660 lux
  • Transmitted light = 10+ lux (appears to be an unknown value or a range)
  • Reflected light = 650 lux

Could you clarify the value for "Transmitted light" in the "Foil" condition or provide a more specific range?

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions

Formulas

% Transmitted = (Transmitted light / Incoming light) * 100
% Reflected = (Reflected light / Incoming light) * 100

Theorems

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Suitable Grade Level

Grades 7-9