Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 mete
1 answer:
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
= 1 cm of scale =
= 3000 cm of actual length
Therefore, the scale factor is <em>1 : 3000</em>
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Solution:
Given:
Part A:
The vertex of an up-down facing parabola of the form;
Rewriting the equation given;
Therefore, the vertex is (0,0)
Part B:
A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (directrix)
Using the standard equation of a parabola;
Rewriting the equation in standard form,
Since the parabola is symmetric around the y-axis, the focus is a distance p from the center (0,0)
Hence,
Therefore, the focus is;
Part C:
A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (directrix)
Using the standard equation of a parabola;
Rewriting the equation in standard form,
Since the parabola is symmetric around the y-axis, the directrix is a line parallel to the x-axis at a distance p from the center (0,0).
Hence,
Therefore, the directrix is;
Answer:
1.7 miles
Step-by-step explanation:
Given that,
Jacob walks 1.5 miles north.
He turns and walks 0.8 miles west.
We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :
Hence, he is 1.7 miles from his starting point.