Rotate the triangle on the graph 90° counterclockwise about the origin. Determine the orientation of the triangle after the rota
tion and place it in the correct position.
2 answers:
Answer:
Hence, last option is true.
Step-by-step explanation:
Rotation of point through 90° about the origin in anticlockwise direction when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction. The new position of point M (h, k) will become M' (-k, h).
We are given the coordinates of the given triangle as:
(-5,0),(-2,3),(-4,5)
Hence after rotation 90° anticlockwise the new coordinates of the transformed triangle will be:
(0,-5),(-3,-2),(-5,-4).
Hence we can show this transformation with the help of the figure attached to the answer.
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Answer:
Step-by-step explanation:
Information given
number of people who rent their home
represent the sample size
represent the proportion of people who rent their home
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
This is the work and the answer is 4/23 or (in decimal form) 0.17391304
