A rancher wants to cut a metal cylinder in half to use as a watering trough as shown below.
1 answer:
You might be interested in
You transformed the function as follows:
All trasformations of the fashion translate the function horizontally, k units right if k is positive, k units left if k is negative.
In your case, k=6, so you translated the original function y=|x| 6 units to the right.
The length of the molecule is in scientific notation.
Data;
- Width of molecule = 3*10^-6 cm
- Number of molecules = 225
This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.
This becomes;
The length of the molecule is in scientific notation.
Learn more on scientific notation here;
<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>
<em />
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em />
<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>
<em />
<em />
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em />
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>
<em />
<u><em>-------------------------------------------------------------------------------------------------------</em></u>
<em />
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>