Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

name date use with textbook pages 294 to 302. applying concepts topic 4…

Question

name
date
use with textbook pages 294 to 302.
applying
concepts
topic 4.3
colourful spotlights
the stage crew for a rock band is setting up some coloured spotlights to light up the stage
during a concert. there are red, blue, and yellow spotlights. a large white banner with the
band’s name in cyan will be hung on the back wall. the band has hired you to be the
lighting consultant.

  1. the band wants to begin with the stage lit in magenta. what combination of colours

should be used?
rod
blue

  1. what sequence of lights is needed to make the band’s name on the banner appear first

blue, then green, and finally black?

  1. the band wants to make their grand entrance with a white spotlight aimed at the centre

of the stage floor where they will rise from below. what combination of colours will
produce white?

  1. the band plans to end the show with the lights changing from orange to yellow to

orange. which colour combinations are needed to achieve this?

Explanation:

Brief Explanations
  1. Magenta is a secondary color formed by mixing red and blue (additive color mixing).
  2. The cyan name on a white banner reflects cyan light. To make it appear blue: use red light (cyan absorbs red, reflects blue). To make it green: use blue light (cyan absorbs blue, reflects green). To make it black: use all three lights (cyan absorbs red and blue, no light reflected).
  3. White light in additive mixing is formed by combining red, blue, and yellow (or red, green, blue; but per the problem’s available colors: red + blue + yellow).
  4. Orange is red + yellow; yellow is the primary color provided.

Answer:

  1. Red and blue
  2. First red light, then blue light, then all three lights (red, blue, yellow)
  3. Red, blue, and yellow
  4. Orange: red + yellow; Yellow: yellow alone; Orange: red + yellow again