Area Of A Sector Worksheet

  area of a sector worksheet: Key Maths GCSE , 2001 Developed for the CCEA Specification, this Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for the non-specialist, useful supplementary ideas and homework sheets.
  area of a sector worksheet: S.Chand’S Mathematics For Class X Term -II H.K. Dass, Rama Verma & Bhagwat S. Sharma, S. Chand’s Mathematics books for Classes IX and X are completely based on CCE pattern of CBSE. The book for Term I covers the syllabus from April to September and the book for Term II covers the syllabus from October to March.
  area of a sector worksheet: CBSE Chapterwise Worksheets for Class 10 Gurukul, 2021-07-30 Practice Perfectly and Enhance Your CBSE Class 10th Board preparation with Gurukul’s CBSE Chapterwise Worksheets for 2022 Examinations. Our Practicebook is categorized chapterwise topicwise to provide you in depth knowledge of different concept topics and questions based on their weightage to help you perform better in the 2022 Examinations. How can you Benefit from CBSE Chapterwise Worksheets for 10th Class? 1. Strictly Based on the Latest Syllabus issued by CBSE 2. Includes Checkpoints basically Benchmarks for better Self Evaluation for every chapter 3. Major Subjects covered such as Science, Mathematics & Social Science 4. Extensive Practice with Assertion & Reason, Case-Based, MCQs, Source Based Questions 5. Comprehensive Coverage of the Entire Syllabus by Experts Our Chapterwise Worksheets include ‘’Mark Yourself” at the end of each worksheet where students can check their own score and provide feedback for the same. Also consists of numerous tips and tools to improve problem solving techniques for any exam paper. Our book can also help in providing a comprehensive overview of important topics in each subject, making it easier for students to solve for the exams.
  area of a sector worksheet: Key Maths David Baker, 2001 Planned, developed and written by practising classroom teachers with a wide variety of experience in schools, this maths course has been designed to be enjoyable and motivating for pupils and teachers. The course is open and accessible to pupils of all abilities and backgrounds, and is differentiated to provide material which is appropriate for all pupils. It provides spiral coverage of the curriculum which involves regular revisiting of key concepts to promote familiarity through practice. This teacher's file is designed for stage two of Year 9.
  area of a sector worksheet: Me n Mine-Mathematics- Term-2 Saraswati Experts, A text book on Maths
  area of a sector worksheet: New Syllabus Mathematics Workbook 3 Dr Joseph Yeo, Teh Keng Seng, Loh Cheng Yee, Ivy Chow, 2007-01-01 New Syllabus Mathematics Workbook (Express) is written in line with the new Singapore-Cambridge GCE �O� Level Examination and the new initiatives of the Ministry of Education. The workbook consists of exercises which prepare students for their examinations. The more difficult questions are marked with an *. To encourage student-centred learning, the workbook includes non-routine types of worksheets that are classified under the section, Alternative Assessment. These worksheets encourage students to learn independently through carefully-guided steps and the use of IT. Students are motivated to investigate mathematical concepts with various methods and think critically, so that they will understand and appreciate the concepts better. The teacher can gauge the students� learning by assessing the work with the scoring rubric found at the end of the relevant worksheets. The workbook is accompanied with a CD-ROM that contains templates to be used with some worksheets. It is hoped that with the use of various pedagogies, different types of students will be inspired to achieve success in mathematics.
  area of a sector worksheet: Highway Planning, Survey, and Design Ghazi G. Al-Khateeb, 2020-07-27 Highway Planning, Survey, and Design presents the latest engineering concepts, techniques, practices, principles, standard procedures, and models that are applied and used to design and evaluate alternatives of transportation systems and roadway horizontal and vertical alignments and to forecast travel demand using variety of trip forecasting models to ultimately achieve greater safety, sustainability, efficiency, and cost-effectiveness. It provides in-depth coverage of the major areas of transportation engineering and includes a broad range of practical problems and solutions, related to theory, concepts, practice, and applications. Solutions for each problem follow step-by-step procedures that include the theory and the derivation of the formulas and computations where applicable. Additionally, numerical methods, linear algebraic methods, and least squares regression techniques are presented to assist in problem solving. Features: Presents coverage of major areas in transportation engineering: urban transportation planning, highway surveying, and geometric design of highways Provides solutions to numerous practical problems in transportation engineering including terminology, theory, practice, computation, and design Offers downloadable and user-friendly MS Excel spreadsheets as well as numerical methods and optimization tools and techniques Includes several practical case studies throughout Implements a unique approach in presenting the different topics Highway Planning, Survey, and Design will help academics and professionals alike to find practical solutions across the broad spectrum of transportation engineering issues.
  area of a sector worksheet: The Math Teacher's Problem-a-Day, Grades 4-8 Judith A. Muschla, Gary R. Muschla, 2008-04-11 From bestselling authors Judith and Gary Muschla, The Math Teacher's Problem-a-Day is a hands-on resource containing 180 handy worksheets, one for each day of the school year, to help students in grades 4-8 acquire the skills needed to master mathematics. These reproducible worksheets are perfect for sponge activities—five-minute challenges to start or end a class period—that can also be used as supplemental lessons, homework, or extra credit. With problems based on the Standards and Focal Points of the National Council of Teachers of Mathematics, the book is designed to give students valuable practice in math skills, using specific activities to enhance critical thinking and boost test scores. The topics covered focus on the core math concepts and skills required for middle school students, including: Numbers and Operations Algebra Geometry Measurement Data Analysis Part of the 5-Minute Fundamentals series, The Math Teacher's Problem-a-Day is an important resource that will help today's students understand more concepts, make connections between branches of mathematics, and apply math skills to a variety of real-life problems.
  area of a sector worksheet: Key Maths GCSE David Baker, 2002-01-25 Developed for the AQA Specification, revised for the new National Curriculum and the new GCSE specifications. The Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for non-specialist, useful supplementary ideas and homework sheets.
  area of a sector worksheet: Methods of regional analysis Walter Isard, 1966
  area of a sector worksheet: Solved Practical Problems in Transportation Engineering Ghazi G. Al-Khateeb, 2022-05-30 The book presents engineering concepts, techniques, practices, principles, standard procedures, and models that are applied and used to design and evaluate traffic systems, road pavement structures, alternatives of transportation systems, roadway horizontal and vertical alignments to ultimately achieve safety, sustainability, efficiency, and cost-effectiveness. The book provides plentiful number of problems on five major areas of transportation engineering and includes broad range of ideas and practical problems that are included in all topics of the book. Furthermore, the book covers problems dealing with theory, concepts, practice, and applications. The solution of each problem in the book follows a step-by-step procedure that includes the theory and the derivation of the formulas in some cases and the computations. Moreover, almost all problems in the five parts of the book include detailed calculations that are solved using the MS Excel worksheets where mathematical, trigonometric, statistical, and logical formulas are used to obtain a more rapid and efficient solution. In some cases, the MS Excel solver tool is used for solving complex equations in several problems of the book. Additionally, numerical methods, linear algebraic methods, and least squares regression techniques are utilized in some problems to assist in solving the problem and make the solution much easier. The book will help academics and professionals to find practical solutions across the spectrum of transportation engineering. The book is designed to be informative and filled with an abundance of solutions to problems in the engineering science of transportation. It is expected that the book will enrich the knowledge and science in transportation engineering, thereby elevating the civil engineering profession in general and the transportation engineering practice in particular as well as advancing the transportation engineering field to the best levels possible. FEATURES: Presents coverage of five major areas in transportation engineering: traffic engineering, pavement materials, analysis, and design, urban transportation planning, highway surveying, and geometric design of highways. Provides solutions to numerous practical problems in transportation engineering including terminology, theory, practice, computation, and design. Includes downloadable and user-friendly MS Excel spreadsheets as well as numerical methods and optimization tools and techniques. Includes several practical case studies throughout. Implements a unique kind of approach in presenting the different topics.
  area of a sector worksheet: Atlantida; a Case Study in Household Sample Surveys United States. Bureau of the Census. International Statistical Programs Office, 1966
  area of a sector worksheet: MnM_POW-Maths-PM-10 (Updated) Surender Verma, MnM_POW-Maths-PM-10 (Updated)
  area of a sector worksheet: Field Artillery Cannon Gunnery United States. Department of the Army, 1978
  area of a sector worksheet: Development of Water Resources in Appalachia United States. Office of Appalachian Studies, 1969
  area of a sector worksheet: Development of Water Resources in Appalachia: Planning concepts and methods United States. Office of Appalachian Studies, 1969
  area of a sector worksheet: Differentiating Instruction With Menus Laurie E. Westphal, 2021-09-03 Differentiating Instruction With Menus: Geometry offers teachers everything needed to create a student-centered learning environment based on choice. This book:
  area of a sector worksheet: Feedback Economics Robert Y. Cavana, Brian C. Dangerfield, Oleg V. Pavlov, Michael J. Radzicki, I. David Wheat, 2021-06-30 This book approaches economic problems from a systems thinking and feedback perspective. By introducing system dynamics methods (including qualitative and quantitative techniques) and computer simulation models, the respective contributions apply feedback analysis and dynamic simulation modeling to important local, national, and global economics issues and concerns. Topics covered include: an introduction to macro modeling using a system dynamics framework; a system dynamics translation of the Phillips machine; a re-examination of classical economic theories from a feedback perspective; analyses of important social, ecological, and resource issues; the development of a biophysical economics module for global modelling; contributions to monetary and financial economics; analyses of macroeconomic growth, income distribution and alternative theories of well-being; and a re-examination of scenario macro modeling. The contributions also examine the philosophical differences between the economics and system dynamics communities in an effort to bridge existing gaps and compare methods. Many models and other supporting information are provided as online supplementary files. Consequently, the book appeals to students and scholars in economics, as well as to practitioners and policy analysts interested in using systems thinking and system dynamics modeling to understand and improve economic systems around the world. Clearly, there is much space for more collaboration between the advocates of post-Keynesian economics and system dynamics! More generally, I would like to recommend this book to all scholars and practitioners interested in exploring the interface and synergies between economics, system dynamics, and feedback thinking. Comments in the Foreword by Marc Lavoie, Emeritus Professor, University of Ottawa and University of Sorbonne Paris Nord
  area of a sector worksheet: Excel 2019 For Dummies Greg Harvey, 2018-10-01 The bestselling Excel book on the market — now in a new edition covering the latest version of Excel! Excel is the spreadsheet and data analysis tool of choice for people across the globe who utilize the Microsoft Office suite to make their work and personal lives easier. It is estimated that 1 in 7 people on the planet use Microsoft Office! If you’re one of them, and want to get up to speed on the latest changes in Excel, you’ve come to the right place. Excel 2019 For Dummies has been updated to reflect the major changes and features made to Excel and covers everything you need to know to perform any spreadsheet task at hand. It includes information on creating and editing worksheets, formatting cells, entering formulas, creating and editing charts, inserting graphs, designing database forms, adding database records, using seek-and-find options, printing, adding hyperlinks to worksheets, saving worksheets as web pages, adding existing worksheet data to an existing webpage, pivot tables, pivot charts, formulas and functions, Excel data analysis, sending worksheets via e-mail, and so much more! Get to know the new Excel interface Become a pro at the spreadsheet and data analysis tool that’s available as part of the Microsoft Office suite Find time-tested and trusted advice from bestselling author and expert Greg Harvey Use Excel to streamline your processes and make your work life easier than ever before Written by a bestselling author and seasoned educator, Excel 2019 For Dummies makes it easier than ever to get everything out of this powerful data tool.
  area of a sector worksheet: Involving Business, Industry, and Labor Stephen J. Franchak, Jeanne Desy, Erle L. Norton, 1984
  area of a sector worksheet: Excel 2013 Pivot Table Data Crunching Bill Jelen, Michael Alexander, 2013-03-18 PivotTables may be Excel's most powerful feature, but Microsoft has estimated that only 15% of Excel users take advantage of them. That's because PivotTables (and their companion feature, PivotCharts) have a reputation for being difficult to learn. Not any more! In this expert tutorial, Excel legends Bill Jelen (MrExcel) and Michael Alexander teach PivotTables and PivotCharts step-by-step, using realistic business scenarios that any Excel user can intuitively understand. Jelen and Alexander go far beyond merely explaining PivotTables and PivotCharts: they present practical recipes for solving a wide range of business problems. Drawing on more than 35 combined years of Excel experience, they provide tips and tricks readers won't find anywhere else, and show exactly how to sidestep common mistakes. Coverage includes: * Creating PivotTables, customizing them, and changing the way you view them * Performing calculations within PivotTables * Using PivotCharts and other visualizations * Analyzing multiple data sources with PivotTables * Sharing PivotTables with others * Working with and analyzing OLAP data * Making the most of Excel 2013's powerful new PowerPivot feature * Using Excel 2013's Slicer to dynamically filter PivotTables * Enhancing PivotTables with macros and VBA code This book is part of the popular MrExcel's Library series, edited by Bill Jelen, world-renowned Excel expert and host of the world-renowned Excel help site, MrExcel.com.
  area of a sector worksheet: 411 SAT Algebra and Geometry Questions , 2006 In order to align the SAT with the math curriculum taught in high schools, the SAT exam has been expanded to include Algebra II materials. 411 SAT Algebra and Geometry Questions is created to offer you a rigorous preparation for this vital section. If you are planning to take the SAT and need extra practice and a more in-depth review of the Math section, here's everything you need to get started. 411 SAT Algebra and Geometry Questions is an imperative study tool tailored to help you achieve your full test-taking potential. The most common math skills that you will encounter on the math portion of the SAT are covered in this book. Increase your algebra and geometry skills with proven techniques and test your grasp of these techniques as you complete 411 practice questions, including a pre- and posttest. Follow up by reviewing our comprehensive answer explanations, which will help measure your overall improvement. The questions are progressively more difficult as you work through each set. If you can handle the last question on each set, you are ready for the SAT! Book jacket.
  area of a sector worksheet: Comprehensive Lotus 1-2-3 Release 5 for Windows Roger Hayen, 1995 [This book] contains a Guided Tour and ten tutorials that present hands-on instruction. In these tutorials students learn how to plan, build, test, and document 1-2-3 worksheets. Moreover, this book harnesses 1-2-3's power by emphasizing the SmartIcons and other Windows features for calculating, charting and managing data. [This book] assumes no prerequisite knowledge of computers, the Windows environment, or 1-2-3. -Pref.
  area of a sector worksheet: Military Intelligence Professional Bulletin , 1999
  area of a sector worksheet: PLANNING NATIONAL TELEMEDICINE AND HEALTH HOTLINE SERVICES WORLD BANK., 2023
  area of a sector worksheet: Environmental Guidelines for Settlements Planning and Management: Environmental considerations in metropolitan planning and management (MPM) United Nations Centre for Human Settlements, 1987
  area of a sector worksheet: Wood Energy in Europe and North America , 2007
  area of a sector worksheet: Excel 2016 Pivot Table Data Crunching Bill Jelen, Michael Alexander, 2015-11-05 Excel® 2016 PIVOT TABLE DATA CRUNCHING CRUNCH DATA FROM ANY SOURCE, QUICKLY AND EASILY, WITH EXCEL 2016 PIVOT TABLES! Use Excel 2016 pivot tables and pivot charts to produce powerful, dynamic reports in minutes instead of hours... understand exactly what’s going on in your business... take control, and stay in control! Even if you’ve never created a pivot table before, this book will help you leverage all their amazing flexibility and analytical power. Drawing on more than 40 combined years of Excel experience, Bill Jelen and Michael Alexander offer practical “recipes” for solving real business problems, help you avoid common mistakes, and present tips and tricks you’ll find nowhere else! • Create, customize, and change pivot tables • Transform huge data sets into clear summary reports • Analyze data faster with Excel 2016’s new recommended pivot tables • Instantly highlight your most profitable customers, products, or regions • Quickly import, clean, and shape data with Power Query vBuild geographical pivot tables with Power Map • Use Power View dynamic dashboards to see where your business stands • Revamp analyses on the fly by dragging and dropping fields • Build dynamic self-service reporting systems • Combine multiple data sources into one pivot table • Use Auto grouping to build date/time-based pivot tables faster vCreate data mashups with Power Pivot • Automate pivot tables with macros and VBA About MrExcel Library Every book in the MrExcel Library pinpoints a specific set of crucial Excel tasks and presents focused skills and examples for performing them rapidly and effectively. Selected by Bill Jelen, Microsoft Excel MVP and mastermind behind the leading Excel solutions website MrExcel.com, these books will • Dramatically increase your productivity—saving you 50 hours a year or more • Present proven, creative strategies for solving real-world problems • Show you how to get great results, no matter how much data you have • Help you avoid critical mistakes that even experienced users make Bill Jelen is MrExcel, the world’s #1 spreadsheet wizard. Jelen hosts MrExcel.com, the premier Excel solutions site, with more than 20 million page views annually. A Microsoft MVP for Excel, his best-sellers include Excel 2016 In Depth. Michael Alexander, Microsoft Certified Application Developer (MCAD) and Microsoft MVP, is author of several books on advanced business analysis with Excel and Access. He has more than 15 years of experience developing Office solutions. CATEGORY: Spreadsheets COVERS: Microsoft Excel 2016
  area of a sector worksheet: CBSE Chapterwise Worksheets for Class 9 Gurukul, 30-07-21 Practice Perfectly and Enhance Your CBSE Class 9th preparation with Gurukul’s CBSE Chapterwise Worksheets for 2022 Examinations. Our Practicebook is categorized chapterwise topicwise to provide you in depth knowledge of different concept topics and questions based on their weightage to help you perform better in the 2022 Examinations. How can you Benefit from CBSE Chapterwise Worksheets for 9th Class? 1. Strictly Based on the Latest Syllabus issued by CBSE 2. Includes Checkpoints basically Benchmarks for better Self Evaluation for every chapter 3. Major Subjects covered such as Science, Mathematics & Social Science 4. Extensive Practice with Assertion & Reason, Case-Based, MCQs, Source Based Questions 5. Comprehensive Coverage of the Entire Syllabus by Experts Our Chapterwise Worksheets include ‘’Mark Yourself” at the end of each worksheet where students can check their own score and provide feedback for the same. Also consists of numerous tips and tools to improve problem solving techniques for any exam paper. Our book can also help in providing a comprehensive overview of important topics in each subject, making it easier for students to solve for the exams.
  area of a sector worksheet: New Florencia: Administrative requirements and mapping. 3 chapters , 1969
  area of a sector worksheet: Guerrilla Data Analysis Using Microsoft Excel MrExcel's Holy Macro! Books, Oz du Soleil, Bill Jelen, 2024-09-26 Master Excel data analysis with this hands-on guide. Learn efficient techniques, advanced functions, and best practices for real-world scenarios. Key Features Hands-on techniques for efficient Excel data analysis Advanced functions and best practices for real-world scenarios Step-by-step guidance on complex tasks like data validation and dynamic arrays Book DescriptionUnlock Microsoft Excel's hidden potential with this dynamic guide designed for data professionals and enthusiasts. You'll start by reviewing Excel basics before advancing to powerful tools like Excel Tables, Pivot Tables, and Power Query. Each chapter enhances your ability to analyze and visualize data efficiently, from complex lookups and dynamic arrays to essential data validation techniques that ensure accuracy and integrity in your spreadsheets. As you progress, you'll learn how to protect your work with advanced sheet protection methods and collaboration tools for seamless teamwork. The book also covers sophisticated functions like INDIRECT, OFFSET, and LET, preparing you to tackle complex data challenges. Additionally, you'll receive critical advice on avoiding the pitfalls of machine learning-driven features and maintaining clean, organized data. By the end of the guide, you'll have mastered Excel's advanced capabilities, empowering you to streamline workflows, optimize data processes, and make confident, data-driven decisions. This guide is your comprehensive resource for transforming your approach to data analysis with Excel.What you will learn Master Excel tables and dynamic spreadsheets Use VLOOKUP and XLOOKUP effectively Create and manipulate PivotTables Clean and validate data with Excel tools Apply conditional formatting and de-duping techniques Implement data models and relationships in Excel Who this book is for This book is ideal for data analysts, business professionals, and Excel users who need to enhance their data analysis skills. Readers should have a basic understanding of Excel and be familiar with its interface. No advanced Excel knowledge is required, but a willingness to learn and apply new techniques is essential.
  area of a sector worksheet: Power and Dollars for Your Community , 1987
  area of a sector worksheet: Auxiliary Specialty Course , 1996
  area of a sector worksheet: Water Conservation Plan Guidelines Pursuant to Section 1455 of the Safe Drinking Water Act , 1998
  area of a sector worksheet: The Economic and Environmental Structure of Alabama's Coastal Region Robert Geoffrey Nelson, William E Hardy, 1980
  area of a sector worksheet: Marketing Plans Malcolm McDonald, Hugh Wilson, Dave Chaffey, 2024-03-19 The latest edition of the leading and internationally bestselling text on marketing planning In the newly revised ninth edition of Marketing Plans, a team of renowned marketing strategists and professors delivers a fully updated version of the gold standard in marketing planning textbooks. The book contains a proven, start-to-finish approach to planning your firm’s marketing and is complemented by brand-new content on digital marketing and sustainable marketing. The authors have also included best-practice guidance on omnichannel management, integrated marketing communications, key account management, and customer experience management. The book provides: A best-practice, step-by-step process for coordinating marketing strategy and planning Methods to create powerful, differentiated value propositions Tools to prioritise marketing efforts on segments and strategies that will deliver the greatest returns in growth and profits Lessons from the leaders on how to embed world-class marketing within the organisation. Perfect for students and executives alike in marketing, sales, strategy, and general management, Marketing Plans, 9th edition remains the world’s leading resource on the critical topic of marketing strategy and planning.
  area of a sector worksheet: National Search and Rescue Manual , 1986
  area of a sector worksheet: National Search and Rescue Manual: Planning handbook , 1986
  area of a sector worksheet: Chequamegon-Nicolet National Forests (N.F.), Proposed Land and Resource Management Plan 2003 , 2003
  area of a sector worksheet: Atlantida; a Case Study in Household Sample Surveys United States. Bureau of the Census. International Statistical Programs Office, 1967
single word requests - What is the name of the area of skin b…
Apr 29, 2014 · Lip usually refers to a larger area: Upper lip is everything between the mouth opening and the …

single word requests - Area of the body between legs and ge…
Aug 18, 2019 · Here is an image in which the area is marked in green: (NSFW, genitals covered). Please note how …

Difference between "at" and "in" when specifying location
Oct 18, 2012 · When talking about location, in is generally used for a larger area where there are …

differences - OUT OF or OUTSIDE my area of responsi…
Mar 28, 2020 · 1 The matter is out of my area of responsibility. = The matter has been removed from my area of …

Does "landing" strictly mean the area of the top of a stairc…
In the UK (where Harry Potter is based), the landing is typically known as the area at the top of the staircase that …

single word requests - What is the name of the area of skin …
Apr 29, 2014 · Lip usually refers to a larger area: Upper lip is everything between the mouth opening and the base of the nose. Lower lip is everything between the mouth opening and the …

single word requests - Area of the body between legs and genitals ...
Aug 18, 2019 · Here is an image in which the area is marked in green: (NSFW, genitals covered). Please note how the 'string' of the taut adductor muscles separates the groin on the front side …

Difference between "at" and "in" when specifying location
Oct 18, 2012 · When talking about location, in is generally used for a larger area where there are numerous specific locations possible. I am in the United States. I am in New York. I am in the …

differences - OUT OF or OUTSIDE my area of responsibility?
Mar 28, 2020 · 1 The matter is out of my area of responsibility. = The matter has been removed from my area of responsibility. 1a The matter is outside my area of responsibility. = My area …

Does "landing" strictly mean the area of the top of a staircase?
In the UK (where Harry Potter is based), the landing is typically known as the area at the top of the staircase that you access the bedrooms from. Landing sizes vary from house to house, …

word choice - "Excel at something" vs. "excel in something"
Jan 2, 2014 · I've come across a question while writing an exam. Roger really excelled ___ sports. A) at B) on C) in D) for . My first thought was 'in', later I remembered using 'at' also.

Difference between "voters", "electorates" and "constituents"
An electorate is a defined geographic area that votes for the outcome of a single seat, or a set of seats. Electorate can also be used to refer to the collection of voters within that area. A sitting …

Correct use of lie or lay in the following context
Jul 30, 2014 · In these phrases the interests or skills are in tangible nouns that we can think of as having 'come to rest' or 'reclining' in an area that they will remain for a while. Therefore the …

What is a word to describe something that belongs exclusively to …
Jan 11, 2017 · native and/or restricted to a particular area or field; characteristic of or prevalent in a particular field, area, or environment; As in personal assistance, belong to, and are …

What is "the flesh under the cheeks & chin, before the neck" called?
Jan 16, 2020 · As excessive skin in this area is sometimes a sign of being overweight, having jowls is not usually desirable, but the latter expression "double-chin" is considered particularly …