Sailboat speed . The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet S is...

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Sailboat speed


.

The sail area-displacement ratio
S
provides a measure of the sail power available to drive a boat. For a boat with a displacement of
d
pounds and a sail area of
A
square feet
S
is determined by the function












a)Find
S
to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
b)Write
d
in terms of
A
and
S.


















a)Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.
b)Solve this formula for
d.
c)The accompanying graph shows
C
in terms of
d
for the Tartan 4100 (b
=


INSTRUCTION FOR PAPER
Real World Radical Formulas
Read the following instructions in order to complete this assignment:

  1. Solve parts a and b of problem 103 on page 605 and problem 104 on page 606 of Elementary and Intermediate Algebra.

  2. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:

    • An explanation of what the parts of the formula mean before using it to get your answers. Study the Instructor Guidance examples to learn how to solve the formula for another variable.

    • Your solution to the above problems, making sure to include all mathematical work.

    • A discussion of how and why these concepts are important in the “real world.” Describe another situation that could be evaluated using these concepts.




The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar.
005_cdzia5o-noyb5lgd.docx 005_htzia5o-v1ylhtcv.pdf
Answered Same DayDec 23, 2021

Answer To: Sailboat speed . The sail area-displacement ratio S provides a measure of the sail power available...

David answered on Dec 23 2021
120 Votes
Microsoft Word - Solution.docx
Mathematical Modelling 1
Mathematical Modelling with Radical Functions
John Q. Student
MAT 222 Week 3 Assignment
Instructor’s Name
Date
Mathematical Modelling 2
Mathematical Modelling with Radical Functions
Introduction
Radical functions are those that have a variable inside a radical. Functions that only have numerals
inside radicals do not count. For e.g. f (h) 2gh= is a radical function. Radical functions can be used to
model a real-world problem. The graphs and the algebraic methods to solve radical functions help us to
model the real-world problems. Algebraic methods involve the various rules that we use for addition and
multiplication of radicals.
Examples
It is stated in problem #103 on page 605 (Dugopolski, 2012) that the capsize screening value C for a
sailing boat in an ocean should be less than 2 for a safe sailing. The formula for capsize screening value C is
given as
( )
( )
1/3C 4d b ----------- (1)
where d = the displcement in pound
b = the beam width in feet
−
=

We know that,
1/3 1/3 1
1/3
1
d = (d ) =
d
− −
, that means -1/3 exponent on the d is solved by taking the cube root of d
first, then taking the reciprocal of the obtained value.
a) The capsize screening value C for Tartan4100 is calculated below. Given that, beam of the boat
=13.5 feet and displacement=23,245 pounds.
Substituting these given values in the above equation, we get
1/3C 4(23245) (13.5)−= According to...
SOLUTION.PDF
SOLUTION.PDF

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