The area of the Pacific Ocean is about 6.0061 x 107 square miles. The area of the Southern Ocean is about 7.8483 x 106 square mi
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By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).
<h3>How to find the image of a triangle</h3>
A dilation is a type of <em>rigid</em> transformation. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distances are conserved.
There is a triangle and its image must be a triangle, the <em>new</em> triangle is found by transforming the three vertices of the prior one following this formula:
A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)] (1)
Where:
- P(x, y) - Center of reflection.
- A(x, y) - Original vertex
- A'(x, y) - New vertex
- k - Dilation factor
If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:
Point A
A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]
A'(x, y) = (-12, 0)
Point B
B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]
B'(x, y) = (0, -9)
Point C
C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]
C'(x, y) = (-12, -9)
Lastly, we draw the two triangles, which are presented in the image attached below.
To learn more on dilations: brainly.com/question/13176891
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Answer:
The skid distance to be used is 54 feet.
Step-by-step explanation:
Given:
Four skid marks on the highway.
in feet.
We have to find the skid distance.
The skid distance that will be used to further calculate the skid speed is actually the mean skid distance.
Mean skid distance (m) :
⇒
⇒
⇒
⇒ feet.
So the skid distance to be used is 54 feet.