<u>Given</u>:
Given that the surface area of the cone is 54 square inches.
We need to determine the surface area of the cone that is similar to the cone three times large.
<u>Surface area of the similar cone:</u>
Let us determine the surface area of the similar cone.
The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.
Thus, we have;


Thus, the surface area of the similar cone is 162 square inches.
0.1111 if you want it as a decimal
Given:
The given system of equations is:


To find:
The solution to this system of equations by graphing.
Solution:
We have,


The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
21 divide by 4 is 5.25. She travels 5.25 miles per hour. 42 divide by 5.25 is 8. It would take 8 hours for Shelly to bike 42 miles.