Final answer:
The 4 to 3 ratio describes a relationship where for every 4 units of one quantity, there are 3 units of another quantity. It fits for length to width and height to base, but not for circumference to diameter or radius to circumference. So, the correct answer is a) Length to width and c) Height to base.
Step-by-step explanation:
For each ratio given, we are to fill in a description of the ratio relationship that is described by 4 to 3.
a) Length to width: If an object's length is in a 4 to 3 ratio with its width, for every 4 units of length, there are 3 units of width.
b) Circumference to diameter: This ratio does not fit as the ratio of circumference to diameter for a circle is always π (pi), which is approximately 3.14159, not 4 to 3.
c) Height to base: If a structure's height is in a 4 to 3 ratio with its base, this means the height is 4 units for every 3 units of base length.
d) Radius to circumference: Similar to b), this ratio also does not fit, as the circumference is equal to 2π times the radius, not 4 to 3.
When using a unit scale, this ratio comparison can help determine actual dimensions. For example, to find real-world measurements, we can set the scale distances or dimensions equal to a unit scale to form proportions, one for each dimension. Here are some examples of how to set these proportions:
Length=1/50=0.5/5
Width=w/30=0.5/
To represent actual distances using a scale, we might have scenarios like these:
Length-scale/actual=8/w
Width=scale/actual=4/1
Thus, the correct answer is a) Length to width and c) Height to base.