100 meter dash to 40 yard dash converter

Save my name, email, and site URL in my browser for next time I post a comment. This is the excel file which consist all the data and graphs. Well, to be fair, we are only extending out to 60 meters as opposed to 100m. Look for Rush to run in the 4.3 range. And Mr. Gold was an important part of my program to understand." sothanks! Omg I love this app so much it helps you understand the problem it doesn't just give you the answer without explaining. ReasonRx Podcast Episode 60 Dr. Jon Morey Talks the Pros and Cons of Modern Physical Education, ReasonRx Podcast Episode 59 Dr. Jon Morey on Fitness, Thriving, and Making the Most of the Outdoors. Please consider the discussion of some limitation following the formula. My selection of pool has two reason: 1. "For his size, Rush displayed uncanny hip fluidity, foot speed, and reaction quickness. "[The twins] did well on [their geometry final]. All our online converters are free to use. Eric Edholm writes, "the 10.39 100-meter time Smith posted to win the Georgia state tile in high school might be the best among all 2023 combine invitees. I love the way you explain things to him. . So, if you have a 5 second 40-yard dash, you are going about 16 mph. CLICK HERE to download the CBS Sports Mobile App and get the latest on your team today. and was on the 1983 4x100m relay team that set the WR. ", Smith didn't get as much shine as he should've nationally at Minnesota last fall, but his athleticism is off the charts. Mr. M, high school teacher of Madison S; quote from emailed note from teacher to parent, "Jack made an 87 on his test. At the Senior Bowl, Tucker showcased his speed at nearly 20.2 mph and according to NFL.com and was a 100-meter state champion in track during his high school career. 40 yards is 36.576 meters so if you really believe that the way you were timed is 100% accurate then you only have to run an extra 6.5 meters in .8 seconds or so. Simple. ", "If math was explained to me like this, I would have understood it a long time ago! . Normally a 100m sprint athlete reach his top speed at around 50m, consider the acceleration of athlete is changing it is hard to compute a very accurate result. His speed, length and catch radius are some attributes that NFL teams are intrigued by. He was one of the event's top cornerbacks and his length and speed was impressive. On the gridiron, Achane was clocked at 22.2 mph on a 96-yard kickoff return for a touchdown versus Alabama in 2021 which ended up helping the Aggies come from behind to beat the then-top ranked Tide. factor from the table below is 91.44. Smith -- who is nicknamed 'T-Time,' and also won a title in the 200 -- flashed his jets at the East-West Shrine Game and could touch the low 4.3s. he clocked a jaw-dropping 4.13 at the combine in 1986, projected fastest players for 2023 from NFL.com, in the transfer portal last cycle was his elite speed. Take that time and multiply by 3.66. Please share if you found this tool useful: #1 I was wondering how to translate 60 meter race times to 40 yard dash times. 40 Yard Dash = 04.19 100y = 09.2 110y = 10.12 40y Dash Pace = 03.68 Convert Time/Mark to Convert What event was it Convert About. I ran the 400m in college and, though I didn't run the 100m, I could hit 11.00 at my fastest (hence why that wasn't my event). I learned to reason and use logic to start solving things in everyday life. Nice post OP. Really helps with homework. It is equal to 100 centimeters, 1/1000th of a kilometer, or about 39.37 inches. Since 10/10=1 I think applying these two filters simultaneously artificially eliminates athletes that excel at one race but are average at the other(I would hypothesize that is true for many NFL players), Your data has a significant selection bias. #1 In watching the Olympics, I did some surfing on the 40 yard dash. This fall I am either going to take Calculus 1 over again or take Calc 2. Hyatt won the Biletnikoff Award as the nations top pass-catcher last season and earned unanimous All-American honors as one of the most productive wideouts in program history. less than 4.6 second). Use legal times, and compare to the 40 times the players get at the combine to get a good representation. About 26 mph. To tackle the problem I use estimated 100m time to normalize the estimated time to actual 100m time in order to make it more accurate. I can't take credit for the formula. I can't help but feel like this sub is a bunch of teenagers when they're talking about people running 4.1's and 4.2's like it's candy. Convert 40y to 100m conversion - I had no idea how fast some of these guys are! He is one of the Big Ten's fastest prospects this week in Indianapolis and will be going up against several speedsters in his position group. running a 100 meter dash in 13.2. Thanks for all your help this past year. So at that pace, he would have covered the 6.576m to get to 40yds in 6.576 / 10 x .86 = 0.566s. For example, take the distance of 100 yards. the same as 3600 inches. 100 meter time to 40 yard dash time I have a teammate who runs the 100 meters in 12.01 seconds. However, since the data gives a ok linear relationship from 9.5s to 13s, I decide to leave it. It took him .86s to run from 30m to 40m. Personally I am not much a stat believer too, but what can I do is collect data from internet and calculate. I'm excited to see where he goes under your tutorage. ", Sophia S, high school (I love that quote. Cory Mull, Contact Us Choose the number of decimals to show in your answer. (Photo: Michael Wade/Icon Sportswire, Getty). Smith -- who is nicknamed 'T-Time,' and also won a title in the 200 -- flashed his jets at the East-West Shrine Game and could touch the low 4.3s. So, of course, a 10-second time would be 205/10 = 20.5 mph. Moss was a standout throughout his five-year career and had a great Senior Bowl showing. Tools. Your classes really prepared me - there's no way I could have gotten that without your help. My SAT score increased from a 1630 to a 1970! That would be a heck of a time.". Cookie Notice If he runs a 12.01 and I must tell you that's not fast at all, his 40 time won't be very fast. reddit. Inquiring-mind Science: How did James Joule Help Prove Heat Was a Form of Motion? ", "Thank you. I looked up a few people with times for both and it seems reasonably close. ", "Oh! So in a conversion, the same well conditioned athlete running 55 meters (instead of the shorter 40 yards) will have a greater percentage of his race run in the maximum velocity phase, and his final 20 yards will be run at a faster average speed than the first 40 yards were, making his 55m time a little faster than would be expected from a 40 . (I've also given an example below): Example Someone comes up with a pretty cool analysis (albeit it with flaws) and everyone in the comment section is just shitting on him. The amount of time a person or object takes to travel 40 yards can easily be converted to miles per hour with the simple formula below. Therefore, I do some researches on how the time split of 100 meter sprint athletes can be related to a short distance run. http://rivals100.rivals.com/content.asp?CID=102381, Location: Exeter, California, United States, Location: Seattle, Washington, United States. A 40-yard dash completed in 4.50 seconds would be about 18.18 miles per hour (mph), after rounding to two decimals. Consider that during the forty yard dash there is an acceleration period so a person will not be running a constant speed, also it is not a sustainable pace to run for an entire mile. Thank you so much for thinking of me on my birthday this year it means a lot. the distance of 100 yards. Gonzalez hasan ideal frame in terms of speeds and agility and has tested well previously. The estimated 40 yard dash numbers don't pass the eye test to me. The conversions on this site will not be accurate enough for all applications. 2.7432 m. is only in seconds, we can skip step one above. For me who are dead last in any sprint event held I really don't know how fast should be called fast. The conversion from yd/s to m/s is: 1.00 yd/s = 0.9144 m/s . Got 90+. ", "I learn more from you in one hour than I do from school in a month. It would be legit if both sprints were from a running start, but the 40-yd sprinter has a disadvantage here since a greater portion of his sprint is spent accelerating to his top speed. Thank you! "Had a microbiology midterm this morning. It is challenging to parent a kid like this but we muddle through somehow!!! You can look at Usain Bolt's 100m split times here and here. Darrell Green ran a 10.08 and is one of the guys rumored to have run a "4.1" back in the day. However, the accuracy cannot be guaranteed. Convert 18.18 miles per hour to kilometers per hour using the online converter. If a running back has a 40-yard dash time of 4.5 seconds what would this be in miles per hour? joey browner 40 yard dash timerubbermaid reveal how to remove bottle. The 2023 NFL Combine begins this week in Indianapolis and with many of this draft cycle's top athletes comes anticipation of 40-yard dash times and which players will showcase world-class speed in front of coaches, general managers and scouting personnel. The 40 yard dash and the 100 meter dash are completely different races, and while guys that are elite in one tend to be at least very good in the other, attempting to correlate times doesn't particularly make sense. :)) I'm very happy for her. Calculating the yard conversion factor Zach would not have passed precalculus at all or done near as well on his SAT or ACT test without your help. Reaction time in the 100m is usually around .15s, so if you subtract that off, Bolt would run a 4.21s 40yd dash. Since the time By accepting all cookies, you agree to our use of cookies to deliver and maintain our services and site, improve the quality of Reddit, personalize Reddit content and advertising, and measure the effectiveness of advertising. English distances for field events should always be expressed as feet dash inches . Granted 50m is 55yds, but that is a much more similar race to the 40yd dash than the 100m. For example, take the distance of 100 yards. This is not a boot camp for those who need someone mindlessly yelling in your face. TexasBijan Robinsonis RB1 on the PFF draft board, but hes more known for his balance than raw burst.. convert these earlier performances. Get out of the box and get involved!. That is, 100 yards is equal to 91.44 meters (making English distances for field events should always be expressed as feet dash inches. By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. This is why we don't get as many OC analyses as we could. It would NOT be possible without your support!!!! And last but not least Willie Gault ran a wind-aided 9.80 (!!!!) THANK YOU! The basic procedure is that of interpolation, taking the following steps The conversion factor from meters to yards is 1.0936132983377, which means that 1 meter is equal to 1.0936132983377 yards: 1 m = 1.0936132983377 yd. I'm getting the awnsers for free as well, learning more from this app than I am from my professor, thank you for your effort. This could have been very interesting. Hyatt's five touchdown receptions in Tennessee's monumental win over Alabama was a school-record. I was thinking of to include player who run very fast (e.g. 40 yard = 36.576 meter 36.576m / 60m = .6096 Thus a 60 meter time x .6096 = 40 yard dash time I think the 60 meter race is the nearest to the 40 yard dash time as it is basically an all out sprint. (adsbygoogle = window.adsbygoogle || []).push({}); A reasonable effort has been made to ensure the accuracy of the information presented on this web site. We're still doing conics. Without you, my son would not have gotten a B. I don't know what we would have done. If you look at the elite 50m runners, you'll see there is a ton of overlap with the elite 100m runners. And last but not least Willie Gault ran a wind-aided 9.80 (!!!!) 2. to not remember to consider or to not know to consider. It's not perfect, but not bad. 2 wideout behind projected first-rounder Quentin Johnston, Davis caught 42 passes for 531 yards and five touchdowns. KylesConverter.com is not responsible for any inaccurate data provided. This is a subreddit for the NFL community. Be careful that the data will be extremely inaccurate after 13s 100m [so it cannot use for calculate a 19+ 100 meter time like me and sadly slower than at least half of the girls in my high school : ( ] What would you say would be the minimum 40 yd speed in order to run 10.8 100m.. running event records exist in both meters and yards it is necessary to How Far are the Planets? Since the distance is set at 40 yards we only need a time to complete the calculation. I disagree with this. (Kyle was thinking that online tutoring would be frustrating and a waste of time.). My grades shot up. When Maurice Greene ran a 9.79 100 meters, his estimated 40 time was about 4.38 seconds. ), I would perform much better in my classes. But 40 yards is just a fraction of 100 meters so wouldn't it be accurate to calculate average velocity using the 40-yard dash time?" Well, my conversation with James investigated this issue as well. 100 yards is the same as 300 feet, which is Both of these pass-catchers have a chance to play on Sundays thanks to their elite speed and athletic abilities. So, arguably the fastest guy on the planet, on a track, with track shoes, with blocks, in a record 100 meter dash, only runs 4.38. I have a hard time believing those guys (or any serious NFL player for that matter) ran a sub-4.20 dash. Your data has a significant selection bias, your pool of 40 yard times covers most athletes in the NFL, but your 100 meter times are limited to athletes that are two sport athletes in college, essentially track stars. Number of seconds with any necessary decimal required to sprint 40 yards. Yes, as Brian says, in some but not all contexts we should consider acceleration. When I talked to students who did well in the same classes, they all really understood the material. Dividing 12.1 by 91.44, we obtain PerIan Cummings of Pro Football Network, Rush could be an early-round selection thanks to the fluidity at which he moves. ", "Mr. Gold I have to say without a doubt you are the smartest teacher I have ever met. Find someone for whom you can find both times. His workouts are designed to improve all elements of fitness: coordination, strength, stamina, mobility, just to name a few. 2. Mitchell rushed for 1,452 yards and 14 touchdowns as a junior at ECU, that coming off a 1,132-yard season in 2021. Math can be a challenging subject for many students. Obviously the data will have some noise due to not so large sample size (119), but as the calculated one are about ~(Edit:0.05s) different from the real data I think it is a ok estimation. That would be a heck of a time. 100 yards is the same as 300 feet, which is the same as . 11.17-1.17=10. Setting meters per second, you get 10.44 mps; miles per hour - 23.35 mph; kilometers per hour - 37.58 kmh; etc. He said [WebEx] was very hands on and elaborate. He replied, 'That was awesome.' The conversion calculator has been around MileSplit longer than almost any other remaining feature on the site! your pool of 40 yard times covers most athletes in the NFL, but your 100 meter times are limited to athletes that are two sport athletes in college, essentially track stars. If a wide receiver runs a 40-yard dash in 4.45 seconds what is the theoretical speed in miles per hour? Not only that, Achane's speed carries over to the football field. I think the following formula is correct. I'm so pleased that we found you because you can challenge him in ways that I simply can't. He showcased that breakaway gear in Alabama's spring game then parlayed that into success during the fall, rushing for 926 yards and seven touchdowns while also averaging 10 yards per catch. As the graph plotted above the slower athlete tends to have a more gentle slope and smaller y-intercept in their 20m split graph. Convert 18.18 miles per hour to kilometers per hour using the online converter. However, the error will accumulate when the athlete is slower. He's one of the darkhorses among the fastest players to watch, per NFL.com. Running a 100 yard dash in 12.1 is equivalent to The above also shows a general problem with statistics. I really appreciate it, and I believe that it helped me greatly in taking the tests. 2005-2023 CBS INTERACTIVE ALL RIGHTS RESERVED. Michael Bennett ran a wind-aided 10.00 and a 4.28 at his pro day. Would it be safe to assume a person coud run sub 11 in the 100m if they ran between 4.5-4.7 (electric timing.) When you're dealing with numbers this small though, a small amount of variance, or whatever your white noise/error term is, is going to create quite a bit of perceived difference. It's no surprise to see Hodges-Tomlinson in NFL.com's group of guys who will leave a trail of smoke behind them in Indianapolis. 40-Yard Dash to Miles per Hour Formula If you have a 100-yard dash time, divide it into 205 to get an approximate miles per hour speed. This compares favorably with some of the top speeds that NFL players have shown off in recent seasons as players likeTyreek Hillhave been timed at 23.24 mph during games. If it does, it would be equivalent of a combine 4.55 40yd dash. Also, fans will also argue what is the real 40-yard dash record ran by Bo Jackson when there is electronic timers. This is the excel file which consist all the data and graphs. Most users of this calculator will likely be interested in converting their 40-yard dash times in football drills to miles per hour. "For his size, Rush displayed uncanny hip fluidity, foot speed, and reaction quickness. Coming from a background of physical contact sports such as hockey and football, I wanted to get myself back into form, without a florescent lighting tan, without aggravating previous injuries from the glory days. Does it make a difference that in the 100-meter dash, your first step is elevated? It has a calculation tools to calculate 40-yard dash time out of 100m time. It is nice to have her as a student I can rely on to do her work and know how to do it. Is Tucker the most explosive running back this cycle, ahead of Bijan Robinson and Jahmyr Gibbs? So I like your concept, but I think your data is poor. x = 40 time x/2.54 + 2x ~ 100m time Charlie Francis Community Forums 40yard dash to 100 meter time converter Therefore, by comparing the slope and intercept we can find how their time for short distance change with their 100m time. Like Cincinnati, Maryland will be promoting two speedsters who are gunning for the record held by Ross. So he ended up running 30m in 3.78s (including reaction time). And a while back Usain Bolt casually walked into an NFL event and ran a 4.22 having not trained for a year and in sub-optimal conditions. He might not be a Day 1 starter in the NFL, but Hodges-Tomlinson is a guy franchises can feel comfortable with sticking on an island and letting him run with the opposition's best wideouts. I did the math for a Usain Bolt 40yd dash a while back. But at face value a 40y of "5.3" is likely to result in a 60m run hovering somewhere around 8 seconds. Type in the time or mark in the blank above, select the event or function from the drop down menu, and click convert. I am also aware of other factors that affect speed: ground conditions, nature of surface running on, terrain, elevation change, wind speed, sleep status, health status, nutrient status, mitochondrial function, age, recent workouts, etc. I think the benefits reach far beyond good scores on standardized tests. Thanks so much!!! mph = 3600 / (seconds * 44) Standardized Test Prep: SAT, ACT, and more. That Chris Johnson time, for example, is from his senior year of high school. what do you mean divide it into? He has read through everything you gave him plus tackled the homework..you've really lit a fire under him. Anyway, this is cool, thanks for sharing. more than a dozen invitees who could challenge. "I agree with you 100%. Any other questions I could answer? The trends won't correlate out fantastically for every individual just give an estimate. The amount of time a person or object takes to travel 40 yards can easily be converted to miles per hour with the simple formula below. ), "On my geometry quiz I got a 98% and it went really well and I felt I knew the info. Part of the reason Nick Saban was attracted to Gibbs out of Georgia Tech in the transfer portal last cycle was his elite speed. ", "At school we just memorize and repeat stuff back; you teach me to understand. I passed my welding engineer course after three years of studying on my own and applying the basic principles you instilled in me. Jeff Demps also ran a 10.01 100m, not 10.1. Press J to jump to the feed. Calculator answers in input box labeled 'speed'. Michael expounds all that is science in such an interesting and exciting way! Using a 55m time conversion would yield a faster 40 yard time. Be prepared to learn with Michael, he's a great teacher and an invaluable resource of knowledge. I am aware of acceleration. Inquiring-mind Science: How Big is the Earth? On the gridiron, Achane was clocked at 22.2 mph on a 96-yard kickoff return for a touchdown versus Alabama in 2021 which ended up helping the Aggies come from behind to beat the then-top ranked Tide. read more. He is one of the Big Ten's fastest prospects this week in Indianapolis and will be going up against several speedsters in his position group. You can also check the yard to meter conversion chart below, or go back to yard to meter converter to top. Consider that during the forty yard dash there is an acceleration period so a person will not be running a constant speed, also it is not a sustainable pace to run for an entire mile. The best way to convert it backwards from the 100 to the 40 is: 100 time minus 1.17 (blocks and reaction) Then take that time divided by 10. The 2023 NFL Combine begins this week in Indianapolis and with many of this draft cycle's top athletes comes anticipation of 40-yard dash times and which players will showcase world-class speed in . College is a lot easier due to the way you taught me how to think. Your email address will not be published. You teach people how to THINK! Per Hawkeyes Insider,Moss was a standout throughout his five-year career and had a great Senior Bowl showing. It has a calculation tools to calculate 40-yard dash time out of 100m time. He found he needed to come back to town sometimes to get some good quality help. an answer of 0.1323272. so 100 meters is obviously a very broad distance. To convert 100 meters into yards we have to multiply 100 by the conversion factor in order to get the length amount from meters to yards. The conversion calculator has been around MileSplit longer than almost any other remaining feature on the site! We don't do 40 times here so I'm wondering does anyone know about what he runs? Age-Graded Calculator; . Then take that time divided by 10, Divide the 100m time by 0.9144. I don't know what she's going to do at college!!!". ", I used to go to some Exam Reviews where a guy would just spend hours teaching you a bunch of tricks to help you barely get by in your classes. Chris Johnson has actually ran a 10.38 100m, Marquise Goodwin a 10.38 too (his 10.24 was wind assisted). Please consider the discussion of some limitation following the formula. Type in the time or mark in the blank above, select the event or function from the drop down menu, and click convert. We try to keep our software free of bugs and errors but we do not take any responsibility for any problems caused by the use of these calculators and converters. Does your 4.7 40yd dash include reaction time? Edit: If someone still reading the post I mistaken 40-yard be 36m instead of 36.576m. This is a big opportunity for Moss. If you wish you can subtract some time to give an accurate result. All posts are copyrighted by their author. Convert 40y to 100m conversion - I had no idea how fast some of these guys are! Meter. He'll represent the Wolverines and the Big Ten as one of this week's fastest specimens at the cornerback spot and could solidify an early-round grade if he blazes a trail in Indianapolis. ", "Thank you, Michael. English distances for field events should always be expressed as feet dash. ", "I wanted to thank you for all the help you've given Zach. This app is great to help you with equations you get stuck on as well as show you where you mad a simple mistake. The potential 2023 running back class will have no shortage of juice,Renner writes. Conversions may rely on other factors not accounted for or that have been estimated. He can improve in run support, but his coverage upside is immense," Cummings writes. At 5-foot-9, 190 pounds, he's a burner and likely fits a change-of-pace, scat back-type playmaker in the NFL. You are right. In an effort to estimate what the fastest humanly-possible 100m dash time was, this website compiled the fastest splits of all time into one chart and came up with a time of 9.44 seconds. Michael was with me every step of the way, building routines for with me and for me, helping me to build my body correctly and avoid injuries. One of the quickest and oldest 40 yard dash predictor for 400 meter talent (or any sprinting distance) is running a 40 yard dash. boardman crime activity; nsw freshwater fishing competitions 2022; sermon on church building project pdf; regarding community advisory boards cabs they citi quizlet; :)", "You are doing an awesome job with how you handle him. ", Marshall B, parent of high school students, "You clearly love what you do and are good at it. I am very happy with my scores. An athlete with a normal stride length will measure out at about 7.5 feet. "Jack made a 100 on his major test today!!!!! Running a 100 yard dash in 12.1 is equivalent to running a 100 meter dash in 13.2. Shall we say he likes your way better? You have had a profound impact on my life approach and philosophy. Gonzalez isn't the biggest of that quartet, but has the most noticeable speed. ", "I really did learn more than geometry and math taking classes with you. No one is gonna track every 10m split in high school or random collage 100m sprint. training for a 100 meter dash is ridiculously different from training for a 100 mile race, so just because the calculator gives you an equivalent time doesn't mean you . on the GPS and ran a 4.28-second 40-yard dash last summer, winning the title as the team's fastest player. Thank you for the response and for bringing up that point! Gold Academy is an experience unlike anything I was expecting. "Exercising in the woods with Michael has benefited me more than any other type of workout that I have done with any trainer. Thanks! Therefore this is a largely theoretical calculation for the interest of comparison. I hope more kids go to you for tutoring; you made me enjoy learning again. ", Michelle F, mother of high school student, "Thank you so much for giving your time to teach the ACT and SAT prep classes. The major assumption with this formula is that all subsequent forty yard intervals in a mile (44 intervals) will be covered in the same amount of time. 91.44 the conversion factor for 100 yards). Little pricey, but the paid version is great at explaining how to go through my college level math and chemistry equations step by step, this app is an actual life saver, i love this app and give it 5 stars and would give it more if it had some. ", "You are the best tutor who gets the best result Matt has worked with. ", "Also, she just called me & said she made a 92 on her math test that she took right before spring break. Privacy Policy. Thank you SO much! ", John T, former high school and college student, "Kyle had a positive response as well. A wide receiver running 40-yards in 4.45 seconds would run about 18.39 miles per hour if they maintained the 40-yard pace. Darrell Green ran a 10.08 and is one of the guys rumored to have run a "4.1" back in the day. I am very happy with this method. I can't take credit for the formula. Either way I am sure you'll be hearing from me. Doesn't account for how fast your start is and how fast your top end speed is. When my child had not understood one problem she tales me, i just open This app. People would spend a bunch of money on these classes and still end up doing poorly in their classes. ", "I wanted to thank you again for the ACT prep class. murrays bus canberra to goulburn. If you have a 12 second 100-yard dash, you are going about 17 mph. He's willing to do next week's session." Other cornerbacks mentioned as potential top-10 selections in April include South Carolina's Cam Smith, Penn State's Joey Porter Jr. and Devon Witherspoon from Illinois. 2023 Copyright . CBS Sports is a registered trademark of CBS Broadcasting Inc. (Photo: James Guillory, USA TODAY Sports), (Photo: Scott Winters/Icon Sportswire, Getty), (Photo: Icon Sportswire, USA TODAY Sports), The potential 2023 running back class will have no shortage of juice,, Achane qualified for the 2022 NCAA Division I outdoor championships and ran a 10.48 second 100 meters in the national semifinals. Answer rounded to two decimals. Cookie Preferences / Do Not Sell or Share My Personal Information, Generated by 10.1.2.58 fresh in 29 milliseconds, Who's Entered At NBNI?

Tui Manage My Booking Technical Difficulties, Hmh Geometry Textbook Pdf, Articles OTHER