Answer:
Step-by-step explanation:
Area of circle:
<em>area = π · r · r</em>
<em>Radius= </em>= 8
= 200.96
<em></em>
Triangle CAT with sides of 8, 12, and 24 is dilated and now has sides of 2, 3 and 6 respectively. What is the scale factor?
1 answer:
You might be interested in
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
Interquartile range is the difference of third quartile and first quartile
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36