Radical formulas are used in the real world in the fields such as finance, medicine, engineering, and physics to name a few. In the finance department they use it to find the interest, depreciation and compound interest. In medicine it can be used to calculate the Body Surface of an adult (BSA), in engineering it can be used to measure voltage. These formulas are vital and important not only in algebra but also as we can see in our day-to-day lives. This assignment requires that we find the capsizing screening value for the Tartan 4100, solve the formula for variable of d, and find the displacement in which the Tartan 4100 is safe for ocean sailing. The problem is broken down into three parts. The utilization of formulas will be used.
The problem and work will be on the left hand side and a description will be to the right of the work describing the steps taken to solve this assignment. The following words will be bold throughout the assignment to indicate that there is a clear understanding of their definition and use: radical, root, and variable. The assignment requires solving problem 103 on page 605 of our reading material. With the given information we will solve three different parts using the information given and using radical formulas to show the solutions. The first part of the first problem requires us to “Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pound sand a beam of 13.5” (Dugopolski, 2012) and determine if it is safe for sailing. The values for variable of d= 23245 and b= 13.5 will be used. Part a of the assignment requires us to find the capsize value for the Tartan 4100.
The Tartan 4100 is safe for ocean sailing at a displacement of 19, 863 pounds. If this was graph it will show that the displacement of 19, 863 pounds is within the region to make this statement true. In this assignment the variable of C represents the capsizing screening value. In this case it has to less than 2 to be considered safe for sailing. The variable of b represents the beam in feet. The variable of d represents the displacement in pounds. As we solved the radical equations we saw the variables were represented as such, Yes, C = 1.89 when d = 23245 and b = 13.5. The use of formula is important for shipbuilders because it can show them if the ship is can be considered safe for sailing and because depending on the size of the ship and the width of the ship they can use the formula above to determine the displacement or the capsizing size a ship can be to be considered safe for sailing. It is very important in their field of work and will simplify any errors and prevent mishaps.
In this end, we have seen the importance of radical expressions by solving this problem. By applying the formulas given we were able to find the capsizing screening value for the Tartan 4100, solve the formula for variable of d, and find the displacement in which the Tartan 4100 is safe for ocean sailing. The use of formulas in this problem helps us identify it the Tartan 4100 was safe for safe for sailing.
Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: McGraw-Hill Publishing.