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satela [25.4K]
3 years ago
15

What do you know about the scale factor for the dilation shown? Explain.

Mathematics
1 answer:
padilas [110]3 years ago
8 0

We want to draw a conclusion about the scale factor for the dilation shown by only watching the given graph, the only conclusion we can take is that a scale factor is a number between 0 and 1. So we have a transformation that transforms the triangle ABC into the triangle A'B'C'.You can see that it is a dilation about the black dot seen in the given image, if the scale factor was a number larger than 1, then the dilated points would be further away from the black dot. But that is not the case, we can see that the images of the dilation are closer to the black dot, then this is not a "real" dilation, this is actually a contraction (where a contraction is a "dilation" of scale factor between zero and 1). Then the only thing that we can conclude with the given image is that the scale factor of the dilation shown is a number larger than 0 and smaller than 1.

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In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes
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Answer:

Ahmed got 390 votes

Step-by-step explanation:

Here, we want to know the number of votes obtained by Ahmed

from the question, there were 900 registered voters

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The number that didn’t cast their votes will be;

10% of 900

= 10/100 * 900 = 90

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The number of valid votes is thus;

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Answer:

a). V=\frac{U.F}{U-F}

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Step-by-step explanation:

Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,

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A). By solving the given formula,

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    \frac{1}{V}=\frac{U-F}{U.F}

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B). If F = 6 and U = 10 then we have to find the value of V.

    By substituting the given values in the formula,

    V=\frac{6\times 10}{10-6}

    V=\frac{60}{4}

    V = 15 units

    Therefore, focal length (V) of the lens = 15 units

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