A dilation is a transformation, with center O and a scale factor of k
that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P'
are on the same line.
Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the<span>
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
In the dilation of triangle TUV</span>, It is obvious that the image <span>T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.
</span>The ratio of the
distances from A to the vertices of the image T'U'V' to the distances
from A to the original triangle TUV is the scale factor.
The scale factor = 3.2 / 4.8 = 2/3
Cost of painting is GHe 109,320
<u>Given:</u>
Floor measure = 15 m by 8 m
Cost of carpeting = GHe 890 per square meter
Total cost of painting and carpeting = GHe 216,120
<u>Find:</u>
Cost of painting
<u>Computation:</u>
Area of floor = 15 × 8
Area of floor = 120 square meter
Cost of carpeting = 120 × 890
Cost of carpeting = GHe 106,800
Cost of painting = Total cost of painting and carpeting - Cost of carpeting
Cost of painting = 216,120 - 106,800
Cost of painting = GHe 109,320
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1 / cos^2 O - 3 / cos O - 2 = 0
1 - 3 cos O - 2 cos^2 O = 0
2 cos^2 O + 3 cos O - 1 = 0
cos O = 0.2807 , -1.78 ( -1.78 cannot be a solution)
O = 74 degrees (from 0.2807) another solution is 360-74 = 286 degrees
Its D
67, 66, 67, and 45, respectively.
<span>If the common ratio is greater than 1 (which it is in this case), then the series will be divergent. The infinite series will simply keep growing and growing, making it impossible to find the "upper limit." Thus, the correct answer is b.</span>