Describe possible dimensions of a pyramid with a volume of 30 cubic centimeters.
2 answers:
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Answer:
See explanation below.
Step-by-step explanation:
We assume that the data is given by :
x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90
y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.
Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)
We can find the least-squares line appropriate for this data.
For this case we need to calculate the slope with the following formula:
Where:
So we can find the sums like this:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
We have an inverse linear relationship since the slope is negative between the variables of interest.
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.
Cross multiplying and solving will get you this:
Which can simplify to:
Which putting into a calculator gets you:
So the line PR is 6.2 units long.