The sentence describing the scale of the model is 1 m represents 40m.
Given,
The length of the ship = 120 m
A scale model of the ship is made.
The length of the model = 3 m
We have to find that, 1m in model represents how much meter of the original.
Scale model;
A physical model that is geometrically similar to an object is called a scale model (known as the prototype). Scale models may be larger than small prototypes like anatomical structures or subatomic particles, but they are often smaller than huge prototypes like cars, buildings, or people.
Here,
Original ; scale model
120 ; 3
That is,
120/3 = 40
Therefore,
1 meter in scale model represents 40 m of the original ship.
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Answer: 30 degrees
This is the minimum amount of rotation.
Why this value? Well because 360/12 = 30
Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.
For a square, we can rotate it 90 degrees and we can say 360/4 = 90
So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).
So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.
It's the same as multiplying a number by 1.5
Factor:
5x^3 + 320
Answer when factored:
= 5(x + 4)(x^2 - 4x + 16)
Hope that helps!!!
