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Readme [11.4K]
3 years ago
15

Which shows the image of quadrilateral ABCD after the transformation R0 90?

Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

second picture

Step-by-step explanation:

The rule to rotate a point counterclockwise about the origin is:

Or in words, we switch the coordinates of the point and change the sign of the y-coordinate.

We know from the first picture that the coordinates of our quadrilateral ABCD are A = (-1, 0), B = (0, -1), C = (-2, -3), and D = (-3 , -2), so let's apply the rotation rule to each one of those points:

Now we know that the coordinates of the quadrilateral after a rotation of 90° are A' = (0, 1), B' = (1, 0), C' = (3, -2), and D' = (2, -3), which corresponds to the second picture

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A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the
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1) 1/8

2) 1/2

Step-by-step explanation:

1)

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

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Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

p(A)=\frac{a}{n}

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Here we want to find

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Here we have:

a=1 (only 1 outcome is successfull: the one in which the spinner lands on section 7)

n=8

Therefore, the probability is

p(7)=\frac{1}{8}

2)

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

n=8

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

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So, the number of successfull outcomes is

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Therefore, the probability that the spinner lands on an even numbered section is:

p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}

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The area of the triangle PQR is 108 square units

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