Use the method of completing the square to transform the quadratic equation into the equation form (x + p)^2 =q using the equati
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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>
Hello.
First of all, let the number be t.
8 times t can be written like this:
Notice that the number is before the variable and the times sign (×) is not there.
We can write it as 8×t, but we usually write it as 8t.
The sum of means we add:
8t+21
Now, "less than" is "<" :
Therefore, the answer is
I hope it helps.
Have a nice day.
Answer:
We have to put the data for purchased item in a frequency table.
Step-by-step explanation:
The diagram is attached below.
Firstly we have to see that how many customers fall under range .
Then .
Then .
Finally
.
If we go through the items purchased by customers we can see that item ranges from have
customers.
Item purchased range from have
customers.
Item purchased range from have
customers.
Item purchased range from have
customers.
Total number of customers =
As we have total number of customers and they have varied quantity of items purchased.
