5 college students were asked how many hours of sleep did they get at night on the average the responses were a 7 hours 9 hours
2 answers:
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<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>
<em>Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of </em><em>2r</em><em>.</em>
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<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3><em />.
<em>Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.</em>
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c. Complete the table.
<em>To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:</em>
Area of Circle (units²): π(3)²or 9π.
Length of 1 Side of the Square: 2r= 2(3)= 6.
Area of Square (units²)= 4r²= 4(3)²= 36.
Ratio: .
<em>Do the same for all the other columns. </em>
<em>The answers to the table are presented on the attached image</em><em>.</em>
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d. What can you conclude about the relationship between the area of the circle and the square?
<em>They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same</em><em>.</em>
Answer:
It will take Josie 80 minutes to run 10 miles.
Step-by-step explanation:
We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!
We know that the ratio of 24:3 will be the same for any number of miles, so we can say
We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.
24/3 = 8
8 =
80 = x
It will take Josie 80 minutes to run 10 miles.