1

The booklet $A l l$ About Lawns published by Ortho Books gives the following instructions for measuring the area of an irregularly shaped region. (See figure in the...

Question

The booklet $A l l$ About Lawns published by Ortho Books gives the following instructions for measuring the area of an irregularly shaped region. (See figure in the next column.) Source: All About Lawns. Irregular Shapes (within 5 $\%$ accuracy) Measure a long $(L)$ axis of the area. Every 10 feet along the length line, measure the width at right angles to the length line. Total widths and multiply by 10. $$ \begin{array}{l}{\text { Area }=\left(\overline{A_{1} A_{2}}+\overline{B_{1} B_{2}}+

The booklet $A l l$ About Lawns published by Ortho Books gives the following instructions for measuring the area of an irregularly shaped region. (See figure in the next column.) Source: All About Lawns. Irregular Shapes (within 5 $\%$ accuracy) Measure a long $(L)$ axis of the area. Every 10 feet along the length line, measure the width at right angles to the length line. Total widths and multiply by 10. $$ \begin{array}{l}{\text { Area }=\left(\overline{A_{1} A_{2}}+\overline{B_{1} B_{2}}+\overline{C_{1} C_{2}} \text { etc. }\right) \times 10} \\ {\mathbf{A}=\left(40^{\prime}+60^{\prime}+32^{\prime}\right) \times 10} \\ {\mathbf{A}=132^{\prime} \times 10^{\prime}} \\ {\mathbf{A}=1320 \text { square feet }}\end{array} $$ How does this method relate to the discussion in this section?



Answers

GEOMETRY

A soccer playing field of length and width has a perimeter of 360 meters.

(a)
Draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle.

(b)
Show that the width of the rectangle is $ y = 180 - x $ and its area is $ A = x(180 - x) $.

(c)
Use a graphing utility to graph the area equation. Be sure to adjust your window settings.

(d)
From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area.

(e)
Use your school’s library,
the Internet,
or some other reference source to find the actual dimensions and area of a regulation Major League Soccer field and compare your findings with the results of part (d).


Similar Solved Questions

5 answers
Fill in the blank.error is the mistake of 'rejecting the null hypothesis when it is actually true_ Type Type II Type IlI 0 D Type IV
Fill in the blank. error is the mistake of 'rejecting the null hypothesis when it is actually true_ Type Type II Type IlI 0 D Type IV...
4 answers
Propose the synthesis method for the following conversion: (10 marks)OHCHzCHaNHz
Propose the synthesis method for the following conversion: (10 marks) OH CHzCHa NHz...
5 answers
Solve the exact differential equation (e*+18y) dx + (18x+51yJdy=0nonee*+14 xy+ 10yfkeK+12 y+ 17xyeke772 xy + 20 YakHB Xy +17 Voum kforiula to the n" coefflicient Qrthe power senes solution about *o" 0 ior thc
Solve the exact differential equation (e*+18y) dx + (18x+51yJdy=0 none e*+14 xy+ 10yfk eK+12 y+ 17xyek e772 xy + 20 Yak HB Xy +17 Voum k foriula to the n" coefflicient Qrthe power senes solution about *o" 0 ior thc...
5 answers
With reference to observational research, why might a prospective study be preferred over a retrospective study? Provide real: world = example where prospective study might vield better data
With reference to observational research, why might a prospective study be preferred over a retrospective study? Provide real: world = example where prospective study might vield better data...
5 answers
Find the general solution ofthe differential equation: y" + 2y' + Sy = 3 sin(2t)
Find the general solution ofthe differential equation: y" + 2y' + Sy = 3 sin(2t)...
5 answers
3. Merryl Gol Aroundl (10 pts) Estimate the following quantities for you on the edge of a merry-go round: Angular velocity Typical tangential acceleration (while accelerating) Typical radial acceleration Kinetic energy (Use your angular velocity) Angular momentum (Use your angular velocity)
3. Merryl Gol Aroundl (10 pts) Estimate the following quantities for you on the edge of a merry-go round: Angular velocity Typical tangential acceleration (while accelerating) Typical radial acceleration Kinetic energy (Use your angular velocity) Angular momentum (Use your angular velocity)...
5 answers
Docsi:rake sc Tc? Are tht following expressions defincd? If s0, statt Wahether thc result is & salar Or & vtctor_Assumesufficicntly differentiable vcctor ficld and @is suficicntl; differentiable scalar-valucd function.7(7 V( F-(V-f) F, Fq Fr (V.F) F. (P =_
Docsi:rake sc Tc? Are tht following expressions defincd? If s0, statt Wahether thc result is & salar Or & vtctor_Assume sufficicntly differentiable vcctor ficld and @is suficicntl; differentiable scalar-valucd function. 7(7 V( F-(V-f) F, Fq Fr (V.F) F. (P =_...
5 answers
Consider the lollowing equilibrium reactian_Nz(9)Hz(9) -NHy(9) When the reaction nas reached equilibrium89*C, the concentrationsreactants ano product areNz; 0.115and 0.639NH} Calculate the equllibriune constant (K:)this reactionsame temperacure
Consider the lollowing equilibrium reactian_ Nz(9) Hz(9) - NHy(9) When the reaction nas reached equilibrium 89*C, the concentrations reactants ano product are Nz; 0.115 and 0.639 NH} Calculate the equllibriune constant (K:) this reaction same temperacure...
5 answers
Calculate the % dlssociatlon for the followilng monoprotic weak acld: 100.0 mL of 0.625 M HA whose Ka 1.73 Xlo-6
Calculate the % dlssociatlon for the followilng monoprotic weak acld: 100.0 mL of 0.625 M HA whose Ka 1.73 Xlo-6...
5 answers
90 Let & =2, an+1 If an convergcs, Iim Gn"? 1+0n nv> 01010
90 Let & =2, an+1 If an convergcs, Iim Gn"? 1+0n nv> 0 10 10...
5 answers
Par AWhichHoowinnaman FJErJS inun MMsaanentai edamjvco lerlie OtaprnnCiassilicalic EamrLprodus ve compalijiilysdecils (ATacdilahave harnHASaTeasjiab? pnyecaVodurn Clonoszu58 ane syslernabc ~JFrvuch celnnj yuuciasSuunyAuo Jeelllawcc~unanieme
Par A Which Hoowinn aman F JErJS inun MMs aanen tai ed amjvco lerlie Otaprnn Ciassilicalic Eam rLprodus ve compalijiily sdecils (ATac dilahave harn HASa Teasjiab? pnyeca Vodurn Clonosz u58 ane syslernabc ~JFrvuch celnnj yuucias Suuny Auo Jeelllawcc ~unanieme...
5 answers
Point) Supppose A is an invertible n n matrix and U is an eigenvector of A with associated eigenvalue 5 Convince yourself Ihat 3 is an eigenvector of the following matrices and find the associated eigenvaluesa. The matrix A has an eigenvalueb. The matrix Ahas an eigenvalueThe matrix A + 81, has an eigenvalued, The matrix 5A has an eigenvalue
point) Supppose A is an invertible n n matrix and U is an eigenvector of A with associated eigenvalue 5 Convince yourself Ihat 3 is an eigenvector of the following matrices and find the associated eigenvalues a. The matrix A has an eigenvalue b. The matrix A has an eigenvalue The matrix A + 81, has ...
3 answers
Find the radius of convergence R and the open interval ofconvergence I of the power series Write your answer in summation notation where the nth term(an) is a product of a cn in terms of n and apower of x
Find the radius of convergence R and the open interval of convergence I of the power series Write your answer in summation notation where the nth term (an) is a product of a cn in terms of n and a power of x...
5 answers
Magnetic force of magnitude 8.00 x 101k3 N What is the angle between the proton's veloetty
magnetic force of magnitude 8.00 x 101k3 N What is the angle between the proton's veloetty...

-- 0.020318--