12/12/2023 0 Comments Best pdf converter to word download![]() It supports all Microsoft Office formats but can convert from a wide range of image file types. Wondershare PDFElement is a top-rated PDF conversion and editing tool. Monthly & annual subscribers and lifetime license holders have no such restrictions, while gaining access to the PDF Candy Windows desktop app. Free users are limited to performing one task every hour - which might be no bad thing for casual Word to PDF converters. However, there’s a price to pay for simplicity. In our review, we praised the way PDF Candy simplified and streamlined editing and converting PDFs. After this, the service automatically converts your file, ready for download or upload to your cloud storage. Next, upload your Word doc from the desktop or through a DropBox or Google Drive cloud storage space. Select the Word to PDF function - you can favorite any action button by clicking the star, bringing it to the top of the list. PDF Candy promises to convert your documents in a single click. This includes 10 ‘convert from PDF’ tools and 19 tools to convert to PDF, such as image and eReader filetypes, Excel, PowerPoint, and Word. The service offers an impressive 47 tools for altering and manipulating PDF documents. But it's the comprehensive PDF editing and converting toolkit that sets PDF Candy apart some of the other best Word to PDF converters. The interface is exceedingly simple - with its big, bold buttons, you’ll always know exactly where to go and what to do. PDF Candy is one of our favorite free Word to PDF converters. Overall, Foxit PDF Editor is an excellent candidate for the best Word to PDF converter available today. ![]() A perpetual license is available but doesn’t include future updates to the software. The Standard version has almost all the features that most businesses will need for a monthly fee. ![]() However, while other best Word to PDF converter candidates, like Soda PDF, have an online version nearly identical to its desktop version in functionality, the online version of Foxit PDF Editor is quite basic and feels like a different product entirely.įoxit PDF Editor has a free 14-day evaluation and comes in Standard and Business versions. While these features are often available in other PDF editors, being able to save them as a template and use them repeatedly for batch processing is an excellent time-saving feature. Its most recent software, Foxit PDF Editor, is a clear choice for converting Word documents to PDF, having additional settings upon conversion that other software doesn’t.įor example, you can set file options for optimizing the PDF for online viewing, add a watermark, ensure that the file conforms to specific PDFA standards (PDF/A-1b to PDF/A-3u), add headers and footers, and specify passwords and permissions. Soda PDF is intuitive to use and has advanced features such as PDF forms, secure signing, and OCR, so if you work with PDFs daily, it’s an excellent choice.įoxit is a company that’s almost as synonymous with PDF as Adobe, having offered PDF editing tools for decades. A Soda PDF license gets you unlimited access to both the online editor and the offline desktop app. Soda PDF offers three monthly and annual subscription tiers, each adding more features, such as OCR and eSign software. You can even batch convert Word documents into individual PDFs. You can create a PDF from any Word document, and merge multiple Word documents into a single PDF. When we tested out the software, we were delighted to find versatile, well-designed, easy to use PDF solution.įrankly, some of these tools rival Adobe Acrobat Pro, allowing you to convert between an extensive list of file formats and edit your created PDFs. There's even an iOS, giving Soda PDF great utility as a multiplatform file conversion tool. You can also download a desktop app for Windows and Mac for offline Word to PDF conversion. It's available as a web-based tool for free online PDF conversion - with upload limits, of course. Claiming to offer the "fastest PDF to Office Converter on market", it's a jam-packed PDF editor, manipulator, converter, merger, and everything else you'll likely need in your day-to-day PDF management. Soda PDF is easily one of the best PDF anything's around, let alone the best Word to PDF converter. ![]() Some useful tools are only available to the Pro subscription
0 Comments
12/12/2023 0 Comments Best food tour las vegasThere is also an optional $60 beverage package that provides a pre-selected cocktail at each restaurant.Ī perfect way to get to know another part of Vegas, this tour is limited to the first 35 registered guests. Price is $199 per person, which includes all gratuities, and the gift of a highlight video afterward. Its splashy décor matches an eclectic menu by Chef Thomas Griese that includes dumplings, hot-rock seared Wagyu beef, wok-tossed noodles, and an Asian-take on pizza. The last stop is Jing, which brings its globally-inspired cuisine from Denver and Aspen to Vegas. It’s where premium steaks, luxurious caviar, and the freshest fish share the spotlight with impeccable pasta dishes. Next, it’s on to Harlo, the elegant steakhouse with coastal Italian influences by Chef Gina Marinelli. Experience for yourself the distinct and authentic flavors that sets Chef-Owner Saipin Chutima’s cuisine apart. No wonder since critics have long hailed this James Beard Award-winner as the best Northern Thai restaurant in the country. The tour begins with Summerlin’s newest hot spot, the famed Lotus of Siam in the Red Rock Resort, where reservations are always tough to snag. Guests are treated to immediate seating with VIP service to enjoy a series of signature dishes at each venue, making for a veritable feast that is guaranteed to leave no one hungry. will take guests to three top-notch restaurants in this community that’s named for the grandmother of the late-great billionaire land-developer and record-setting pilot Howard Hughes. Guests will have the opportunity to explore this Las Vegas Valley community that has attracted the likes of retired tennis greats Andre Agassi and Steffi Graf, magician David Copperfield, and actor Mark Wahlberg. 26 launch of its third specially focused food tour, “Best of Summerlin,’’ centered the largest master-planned community in Vegas that boasts an award-winning design. ![]() ![]() Finger Licking Foodie Toursstarts the new year off with a bang with the Feb. 12/12/2023 0 Comments Blue mou ts public domainThe Battle of the Century (starring the comedy duo Laurel and Hardy directed by Clyde Bruckman).The Kid Brother (starring Harold Lloyd directed by Ted Wilde).7th Heaven (inspired the ending of the 2016 film La La Land directed by Frank Borzage).The Way of All Flesh (now a lost film directed by Victor Fleming). ![]() London After Midnight (now a lost film directed by Tod Browning).The King of Kings(directed by Cecil B.The Lodger: A Story of the London Fog (Alfred Hitchcock’s first thriller).Wings (winner of the first Academy Award for outstanding picture directed by William A.The Jazz Singer (the first feature-length film with synchronized dialogue directed by Alan Crosland).Copyright will also expire over Arthur Conan Doyle’s final Sherlock Holmes stories-you can read more about copyright over characters and the Doyle estate’s attempts to artificially extend rights over Holmes and Dr. There is a lot to celebrate: a modernist masterpiece, poetry from the Harlem Renaissance, children’s verses featuring Winnie-the-Pooh and other characters, and early works from Hemingway and Faulkner. These are just a handful of the thousands of books entering the public domain in 2023. 2 (the final installment of In Search of Lost Time, in the original French) Hermann Hesse, Der Steppenwolf (in the original German)įranz Kafka, Amerika (in the original German) Dixon (pseudonym), The Tower Treasure (the first Hardy Boys book) Herbert Asbury, The Gangs of New York (the original 1927 publication)įranklin W. Thornton Wilder, The Bridge of San Luis ReyĮrnest Hemingway, Men Without Women (collection of short stories) Milne, Now We Are Six, illustrations by E. Willa Cather, Death Comes for the ArchbishopĪ. (To find more material from 1927, you can visit the Catalogue of Copyright Entries.)Īrthur Conan Doyle, The Case-Book of Sherlock Holmes But before this could happen, Congress hit a 20-year pause button and extended their copyright term to 95 years. 2 They were supposed to go into the public domain in 2003, after being copyrighted for 75 years. Here are just a few of the works that will be in the US public domain in 2023. Please note that this site is only about US law the copyright terms in other countries are different. These include Virginia Woolf’s To The Lighthouse and the final Sherlock Holmes stories by Arthur Conan Doyle, the German science-fiction film Metropolis and Alfred Hitchcock’s first thriller, compositions by Louis Armstrong and Fats Waller, and a novelty song about ice cream. 1 They will be free for all to copy, share, and build upon. On January 1, 2023, copyrighted works from 1927 will enter the US public domain. Januis Public Domain Day: Works from 1927 are open to all! ![]() By Jennifer Jenkins, Director of Duke’s Center for the Study of the Public Domain 12/11/2023 0 Comments Jay z blueprint albumWhether it be the center of an argument with a neglected lover, the experience of being a young son abandoned by his father or the pressure of acting as the primary source of income for friends and family, songs like "Momma Loves Me," "U Don't Me" and "Song Cry" demonstrate Jay's ability to catapult his audience from their respective locations straight into his world. Her are nine facts about the The Blueprint 's production and release, highlighting why this masterpiece continues to reign supreme as one of the most prophetic albums ever composed.ġ. Jay-Z's storytelling in The Blueprint is not only gripping, but vivid, detailed and emotive. The collection of songs on The Blueprint offered up new and profound soundscapes, which has since transformed and elevated hip-hop as a genre and continues to influence the music en masse today. " The Blueprint demonstrates Jay-Z’s range, from battle raps to triumphant anthems about life at the top, to heartfelt examinations of his personal story," the National Recording Preservation Board wrote. In the end, Jay-Z has proven why he was destined for greatness while simultaneously showcasing some of his best creative work. The 15-track album is considered a dynamic piece of work, created by Carter during a time in which his “ credibility came under threat” by other New York artists. Some exclusions apply, please visit our Help Centrefor more details.On March 21, Blavity reported Shawn ‘Jay-Z’ Carter’s sixth studio album The Blueprint was inducted into the National Recording Registry for the Library of Congress.We’re happy to accept returns for unwanted items, provided that they are returned within 14 days of receipt unopened, unused, and in perfect condition.For items that are dispatched using our standard service, we ask that you wait 14 days from the date of dispatch before reporting any items as undelivered.If your order contains items that are out of stock, we’ll ship the in-stock items as soon as we can and will dispatch the out-of-stock items as soon as we’ve received more stock in the warehouse.We don’t always ship everything together so check your dispatch email for more details - we’ll send you a dispatch email per parcel.We will email you as soon as each item is ready to be dispatched so you know when to expect them, but you can also check the status of your order in your account.Will you tell me when my order is on its way? All delivery options and any charges that are applicable will be shown at the checkout.Selected items are only available for delivery using Click & Collect to an hmv or FOPP store of your choice.Selected items are only available for delivery via the Royal Mail 48® service and other items are available for delivery using this service for a charge.Free delivery is available for most items when the order exceeds £20, but any exceptions will be clearly highlighted.When you place an order for an item that is fulfilled by Exertis, your details shall be forwarded to them so that they can fulfil the order, and to their courier so that they can deliver the item. Products labelled '*item fulfilled by Exertis on behalf of hmv' will be supplied to you directly by Exertis via their approved couriers.In this instance, we'll send weekly updates to keep you aware. ![]()
12/11/2023 0 Comments Spectrum streaming packages![]() ![]() ![]() These Spectrum streaming service plans are perfect for solitary individuals who love to enjoy downtime on their own, do not aspire for too extensive or expensive a channel lineup, and definitely do not mind the absence of sports programming. And, last but not least, the premium entertainment pack which includes HBO Max™, SHOWTIME®, STARZ®, STARZ ENCORE, TMC-you can add it on for $15/month for 24 months.Īll that is at your disposal to customize your Spectrum TV Choice plan! Spectrum TV Stream & Essentials ChannelsĪs for Spectrum TV Stream and Spectrum TV Essentials, there is one caveat-neither offers an option to include sports programming as such.Sports networks like ESPN & ESPN2, FOX Sports 1, NBC Sports Network, and NFL Network.The most-watched cable networks such as USA Network, Bravo, E!, TNT, CNN, LMN, FXM, MTV, Discovery, and Hallmark.Popular broadcast TV favorites like NBC, ABC, CBS, and FOX.Spectrum Streaming Service: The Channel Lineup Spectrum TV Choice ChannelsĪs we said, Spectrum TV Choice lets you take your pick of 10 networks from among 65 on the menu. Considering the price point, the channel lineup offered by Spectrum TV Essentials is a whopping 60 and offers holistic programming that covers lifestyle, news, entertainment, and kids. under $15/month is a delightful surprise to Spectrum Internet consumers without a pay-tv service. The incredibly low price of the service i.e. And guess what! This all-around streaming option also comes for under $25/month. While some other American favorites that you can watch with Spectrum TV Stream include: A&E, FX, HGTV, and Comedy Central. Spectrum TV Stream comes with a channel lineup of 25 prominent networks, including FOX, ABC, NBC, and CBS. The price is good for 24 months-following which the prevailing standard rate kicks in. Apart from the select major broadcast networks included, you can get 10 networks of your choice from legions of options-which takes customization to the next level-all for under $25/month. Spectrum Streaming Plans & Prices Spectrum TV ChoiceĪs implied by its name, the service offers subscribers the choice to tailor the entertainment plan in line with individual preferences. So if you are subscribed to Spectrum Internet, and have been contemplating an IPTV service, take a look at how the Spectrum streaming service can help you acquire a much cheaper and more personalized form of entertainment through its varied plans. Spectrum furnishes for them an economical counterpart array of its cable TV plans- Spectrum TV Essentials, TV Choice, and Spectrum TV Stream-eligible subscribers have 3 well-tiered low-cost streaming plans to choose from to keep themselves entertained anytime anywhere. The idea of streaming Spectrum TV works particularly for the audience that finds Spectrum TV expensive, and is also on the lookout for a mobile way of staying entertained. Who is Spectrum Streaming Service Right For? And all that comes at a cost far less than what a conventional pay-tv service would make you incur. You can view content on any screen via the Spectrum TV app-whether it is in the comfort of your home or while you enjoy time out at a roadside café. You pretty much get all core features the Spectrum cable TV service entails. The service lets you stream Spectrum live TV as well as on-demand-and offers an impressive variety of channels from the provider cable lineup. Spectrum streaming service has been designed for existing subscribers of Spectrum Internet® and offered as an alternative to competing over-the-top (OTT) services, which may target and appeal to the Spectrum consumer. 12/11/2023 0 Comments Costco vacation packages usaIt’s worth booking through Costo Travel if you get these perks. Others are getting certain benefits like a Costco gift card and onboard credit. Minors: If a minor (under 18) is traveling, please provide the appropriate travel documents for the trip. ![]() Please bring your marriage documentation with you if you are traveling on a honeymoon package. Below are the different cruise lines you can choose from (not including Alaska cruises):Įven with Costco Travel’s alleged 30% savings, the price still seems the same as booking directly. Honeymoon Packages: Some hotels require you to present a marriage certificate or license for you to receive the honeymoon package. There will be many reviews for each route, and select cruises are up to 30% off. If youre dreaming about vacationing in Cancun, why not go all out and enjoy an all. Maximize your Costco membership and save. You’ll get the same Costco value when you’ve booked through Costco. Customize your vacation package with Costco Travel. United States you may be offered Costco Universal. There are also options to look specifically for Alaskan cruises only.ĭepending on how many days you choose for your cruise, several different options will appear. You can choose the destination you want and even a specific cruise line. Costco Travel Vacations, Travel, All-Inclusive Vacations, All Inclusive Resorts and Vacation Packages. ![]() Costco vacation packages can include flights, car rentals, cruises, and all-inclusive vacations at a fraction. On the Costco Travel website, you can easily book vacation packages. Costco Travel offers Costco members savings and extra value on vacation packages, cruises, rental cars and more. Most other travel booking sites don’t provide this feature. What the average Joe doesnt realize is that since 2000 Costco has been offering the same bulk deals on hotels, flights, cruises, vacation packages, and car rentals. Costco Travel offers its Costco members the ability to purchase a cruise through their easy-to-use search engine. 12/11/2023 0 Comments Caption definition for kids![]() To avoid that potential mess, Cohen says she would put her home in a Medicaid asset protection trust - designed to protect assets from being counted for Medicaid eligibility - and, again, name her kids as the beneficiaries of that trust. That's because when a Medicaid beneficiary dies, the value of their estate - including property, savings and retirement accounts - can be used to repay the government for the costs of nursing facility services, home and community-based services and related hospital and prescription drug services. She adds that, due to Medicaid recovery, she'd never put her home in her children's names. “You will have caused them to pay more in capital gains taxes than they would have needed to if they would have inherited that property at your death,” says Cohen. ![]() When you die and your children want to eventually sell your home, if you've signed it over to them, they'll lose the option of a step-up in basis - where the value of your property is adjusted from its initial cost basis to its current market value upon your death. There's another reason to avoid this approach. If your property has appreciated, now your property will get reassessed at that date and you may need to pay more property taxes.” She explains why in another video: “If you add your child’s name to your property at some point during your life, the first thing that may happen is a property tax reassessment. The California-based attorney says she'd never add her children’s names to the deed of her primary residence as a way to avoid probate court. Read more: Here are 7 amazing 1-week vacations you can do for around $1,000 Transfer property wisely “Trusts are for the middle class, too,” she states in the caption of her April TikTok video, which has been viewed more than two million times and racked up over 2,800 comments. One of the most common misconceptions is that you need to have a lot of money to set up a trust - but that's “simply not true,” says Cohen. You’ll have to name a “successor trustee” - which can be a family member, friend, a private fiduciary or even a bank - who can take over managing your assets in case of reduced mental faculties or death. The word “revocable” means the trust can be undone or changed. Instead, the lawyer says she'd put everything - including her life insurance and bank accounts - in a living trust, or revocable living trust, and she'd name her kids as the beneficiaries of that trust.Ī living trust allows you to manage your assets in your own name for as long as you’re able. “I would never leave anything to my kids when I die,” Cohen says in a hard hitter right off the bat. She also shares the one thing you should do to protect your heirs and set them up for success when you’re gone. The attorney - who raises awareness about money management, wills and trusts on TikTok - went viral for her video: "Six things as a money protection attorney I would never do." Here's how much the typical baby boomer has saved for retirement - how do you stack up? Here are the 2 simple techniques that made Ronald Read rich - and can do the same for youĪ 50-year-old Mom on Reddit emptied her daughter's college fund to keep her Malibu dream house - the teen is 'furious.' 4 tips to retire comfortably without raiding your kid's account This janitor in Vermont built an $8M fortune without anyone around him knowing. ![]() Instead, you can save your loved ones from serious financial (and legal) woes by creating a living trust and making them beneficiaries, suggests Brittany Cohen, an estate planning and asset protection lawyer. If you love your kids, don’t leave anything to them when you die, says one California-based attorney. ![]() This California lawyer warns you should 'never leave anything' to your kids when you die - saying it'll lead to serious financial distress. 12/11/2023 0 Comments Calibre academy carnivalOut of nowhere his voice comes through the giant speaker towers: “Here I come, with love and not hatred.” And the crowd erupts. ![]() The closing act is Dennis Emmanuel Brown, the Crown Prince of Reggae. The July sun is beating down on the open field with all its fury, but thousands, including me, are standing our ground. It’s the final day of the festival and patrons are battle-weary. I was at Reggae Sunsplash in Montego Bay. What’s your most memorable reggae experience? If anything, I have developed the ability to step outside myself and see who and what is moving the audience. Sometimes you don’t understand it, simply because it’s not your speed, but you must see it. I know what I like, but as a journalist you must develop the ability to step outside yourself and see what also moves others. Do you think you have a knack for identifying rising stars? She now has an international record deal, a new EP, and has been making a name for herself. Something about her voice, delivery, and overall vibe just made you know greatness was in her future. I had to interview her.įor the next few days, until I got the interview, my co-workers were sick of hearing the track in the office. Protoje was also on the bill, and he brought her on stage. I read something about this young girl performing at an underground show with Chronixx as the headliner. Lila Iké, born Alica Grey, comes to mind. Tell us about a reggae artiste you predicted was destined for success. Being able to connect with an audience is high on my list, too. Lyrical content - whether it’s just a catchy hook or deep lyrics which cause you to think - there should be something for your audience to hold on to. These days, talent gets shoved to the back burner, and things like look and international appeal are brought to foreground. A guided tour via kayak is the best way to experience this natural magic, as every stroke of the paddle creates ripples of light in the sea around you. These bioluminescent micro-organisms glow to scare or confuse predators. Tiny marine creatures called dinoflagellates emit a greenish-blue iridescent light in the water when it is disturbed. Under starry skies, when conditions are right, nightlife takes on new meaning at Bon Accord Lagoon. Can you solve the riddle of Betty Stiven? “She was a mother without knowing it, and a wife without letting her husband know it, except by her kind indulgences to him.” There are many folktales in Plymouth - maybe some of the others will help you figure it out. If you like brainteasers, this one is for you. ![]() Did you know Tobago changed colonial hands more than any other Caribbean island? The Mystery TombstoneĪ tombstone with an abstruse inscription rests in Plymouth, on the leeward coast of the island. Have you already been to Fort King George Heritage Park? Overlooking Scarborough, Tobago’s largest fort is one of the island’s most popular, but there are others to explore, and picturesque views are just one of the rewards on this historical adventure. Snorkelling at Tyrrel Bay and spotting the abandoned villa on Goat Island are a great end to the day. Look out for tropicbirds, boobies, shearwaters, frigate birds, and more. ![]() The sanctuary on Little Tobago offers a day of natural indulgence, and the chance for some outdoor exercise: there’s quite a climb to the top of the trail. Another birder’s paradise is a boat ride away. You may have visited Main Ridge Forest Reserve and encountered many bird species there. Snorkel on the sublime reefs, dive among the teeming sea life, or simply relax in a beach chair and enjoy the fresh sea breeze - some of the best things in life are indeed free. Some treasures, like Batteaux Bay, Pirates Bay, and Bloody Bay, are unspoilt, charming, and have the allure of private beaches. A coastal tour is an easy way to explore these sweet spots along the thirty-by-ten-mile island. Tobago boasts enough beaches for every unforgettable day of your trip. This serene island has something for everyone, and might just be the distraction that saves you from the COVID Carnival blues. Birdsong fills the air with playful melodies and harmonies, rainforest trails beckon, and captivating beaches mesmerise. Tobago’s magnificent natural beauty is balm to the soul. But if you feel like it needs to be the real thing or nothing, you could also follow the lead of all those people - yes, they exist! - whose annual Carnival plan is an escape to the sister isle. You could console yourself with the various virtual online events in the works. If you’re a Trini, and a serious Carnival jumbie, February 2021 will be a tough month. Photo courtesy TeamDWP Studios By Dwayne A. 12/11/2023 0 Comments Chain slack toolIncluded in this video are tips on replacing the sometimes difficult-to-remove countershaft sprocket as well as advice on master-link choice and how to properly rivet a new master link. Its made from plastic with an adjustable metal screw. In this video from the MC Garage, Senior Road Test Editor Ari Henning sets to work on a 2015 Yamaha YZF-R1 to show you how to replace an endless sealed chain and front and rear sprockets. The Chain Monkey is a tool to help set the correct motorcycle chain slack during a chain adjustment. ![]() Included in this video are tips on replacing the sometimes difficult-to-remove countershaft sprocket as well as advice on master-link choice and how to properly rivet a new master link. Keep your chain properly dialed in with the Motion Pro Slacksetter Pro. ![]() NOTE: The CBR 600 should have about 1 3/8th inches of slack in the chain. Adjust your chain quickly and with ease to improve. Ill be doing a YouTube video after a couple of chain slack maintenance intervals and Ill have a more in-depth review be it positive or negative. BPA-RACING Motorcycle Chain Slack Adjuster Tool - Innovative Chain Tensioning Tool for Easy, Quick & Precise Chain Slack Adjustment- Slack Setter Tool (Orange) 4.7 out of 5 stars 555 £58.16 £ 58. Just calibrating it in the first few days of ownership doesnt mean its a great tool. In this video from the MC Garage, Senior Road Test Editor Ari Henning will show you how to replace an endless sealed chain and front and rear sprockets. Using a chain slack tool or measuring tape, measure the play in the chain beneath the swingarm, halfway between the front and rear drive sprockets. This chain tensioner tool is designed to help you set the correct tension on your vehicles drive chain. Ive calibrated it to my personal chain slack setting but only time will prove if this tool is worth the cost. When your drivechain wears out you can pay a shop to replace the parts or you can invest in a chain breaking and riveting tool like Motion Pro's PBR tool and tackle the job yourself. This is easy to do if you use your bike for. Now ride your bike on a set course, for a set length of time and try to maintain a set amount of throttle 'aggressiveness'. Heck to make the test more obvious set it to 6mm, that's within Yamaha specs. So even if you're diligent about cleaning and lubricating your chain as outlined in our last MC Garage video (How To Properly Lubricate Your Chain), your chain and sprockets will eventually wear out. With your bike 'cold' from sitting overnight, set your chain slack to the manual specs of 5-15mm. ![]() Your bike's chain and sprockets have a tough job to do, and it's not like they get to work in a very clean environment. slack is removed from chain and the Rescue Tool Is resting on the car hood. The service manual says to use the hook tool that came with it. How To Replace Your Motorcycle Chain & Sprockets | MC GARAGE 04:29 I noticed i have about 2 of play in the chain so i would like to tighten it up a bit. 12/11/2023 0 Comments Basic math problems with answers![]() Sketch Trigonometric Functions - tangent and cotangent Sketch Trigonometric Functions - sine and cosine Use Sinusoidal Functions to Solve Applications Problems with Solutionsįind a Sinusoidal Function Given its Graph Detailed solutions and answers to the questions are provided. But as yet, they've only been able to prove that the answer is at least as big as the answer you get that way.High school math for grades 10, 11, and 12 math questions and problems to test deep understanding of math concepts and computational procedures are presented. Mathematicians suspect the equation is M=1+2 N-2, where M is the number of dots and N is the number of sides in the shape. More importantly, there should be a formula to tell us how many dots are required for any shape. It's a mystery how many dots is required to create a heptagon or any larger shapes. But for a pentagon, a five-sided shape, it turns out you need nine dots. The gist of this theorem is that you'll always be able to create a convex quadrilateral with five random dots, regardless of where those dots are positioned. Assuming the dots aren't deliberately arranged-say, in a line-you should always be able to connect four of them to create a convex quadrilateral, which is a shape with four sides where all of the corners are less than 180 degrees. Make five dots at random places on a piece of paper. Essentially, the problem works like this: The happy ending problem is so named because it led to the marriage of two mathematicians who worked on it, George Szekeres and Esther Klein. But they also haven't been able to prove that such a box doesn't exist, so the hunt is on for a perfect cuboid. ![]() This is called a perfect cuboid. Mathematicians have tried many different possibilities and have yet to find a single one that works. The goal is to find a box where A 2 + B 2 + C 2 = G 2, and where all seven numbers are integers. But there are also three more diagonals on the three surfaces (D, E, and F) and that raises an interesting question: can there be a box where all seven of these lengths are integers? Just as there are some triangles where all three sides are whole numbers, there are also some boxes where the three sides and the spatial diagonal (A, B, C, and G) are whole numbers. The first three are the dimensions of a box, and G is the diagonal running from one of the top corners to the opposite bottom corner. In the image above, they are A, B, C, and G. In three dimensions, there are four numbers. Let's extend this idea to three dimensions. In a Pythagorean triangle, and all three sides are whole numbers. Remember the pythagorean theorem, A 2 + B 2 = C 2? The three letters correspond to the three sides of a right triangle. ![]() All together, we know the sofa constant has to be between 2.2195 and 2.8284. We also have some sofas that don't work, so it has to be smaller than those. Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them. The largest area that can fit around a corner is called-I kid you not-the sofa constant. What is the largest two-dimensional area that can fit around the corner? Here are the specifics: the whole problem is in two dimensions, the corner is a 90-degree angle, and the width of the corridor is 1. This is the essence of the moving sofa problem. If it's a small sofa, that might not be a problem, but a really big sofa is sure to get stuck. If you're a mathematician, you ask yourself: What's the largest sofa you could possibly fit around the corner? It doesn't have to be a rectangular sofa either, it can be any shape. The problem is, the hallway turns and you have to fit your sofa around a corner. So you're moving into your new apartment, and you're trying to bring your sofa. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |