A tank of water holding 528 kL of water begins to empty at a rate of 10 kL/min. At the same time, another tank, which is empty,
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Answer:
A.
Step-by-step explanation:
Rotation is a transformation that turns a figure about a fixed point. An object and its rotation image are the same shape and size, but the figures may be turned in different directions. So, rotation gives us two congruent pentagons.
Dilation is a transformation that produces an image that is the same shape as the original (similar to original), but is a different size. So, dilation gives us two similar pentagons.
A sequence of rotation and dilation produces pentagon that is similar to the initial, but not congruent.
In attached diagram you can see the pictorial representation:
- pentagon FGHIJ is the rotation image of pentagon ABCDE
- pentagon KLMNO is dilation image of pentagon FGHIJ
Using equivalent angles, the solutions are given as follows:
a) .
b) .
c)
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
For item a, we have to find the equivalent angle on the 2nd quadrant, where the sine is also positive.
Hence:
Hence .
For item b, if two angles are complementary, the sine of one is the cosine of the other.
Complementary angles add to 90º = 0.5pi, hence:
The equivalent angle on the second quadrant is:
Hence the solutions are:
For item c, the angles are also complementary, hence:
The tangent is also positive on the third quadrant, hence the equivalent angle is:
Hence the solutions are:
More can be learned about equivalent angles at brainly.com/question/28163477
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