elevation-of-land-in-the-united-states-is-given-by-the-inequality-h-10019-leq-10301-where-h-is-the-h

Name: elevation of land in the united states is given by the inequality h 10019 leq 10301 where h is the h
Uploaded: 2019-08-04
Duration: 2 min 33 s
Channel: Numerade
Description: Elevation of land in the United States is given by the inequality $|h-10,019| \leq 10,301$ where $h$ is the height in feet. What is the range of elevations in the United States?

Question

Elevation of land in the United States is given by the inequality $|h-10,019| \leq 10,301$ where $h$ is the height in feet. What is the range of elevations in the United States?

Dilip Paruchuri · Accepted Answer

Hey, guys. So in this problem, we&#x27;re given the inequality absolute value of H minus 10,019 less than or equal to 10,003 01 And what this inequality represents is it represents the elevation of all the land, basically the range of elevation of the of all surfaces on the earth. And what the problem asked us to do is solve this inequality for more of an explicit way of, of representing this range in a compound inequality. And in order to do that, we&#x27;re going to solve this inequality. So we already have our absolute value on one side of the equation all by itself. And we can split this up in tow are too many inequalities. So this is equal to H minus 10,019 is less than equal to 3 10,301 and it&#x27;s also equal to H minus 10,000 and 19 greater than or equal to negative 10,003 01 Now, if you take a look at this equation right here that I just start, this is the one that we&#x27;re in a solve for first. So we want to get the H by itself. So we add 10,019 to both sides of the inequality. And when we do so we&#x27;re gonna get H is less than or equal to you. 20,000 20,000, 320. And now, if we take a look at this inequality right here, what we are going to get is we&#x27;re going to add 10,000 and 19 to both sides and 1000 19 to both sides. And when we do, it&#x27;s gonna be a TSH is greater than our equal to. So let&#x27;s do some quick math right here. 10,301 minus 10,019. What&#x27;s gonna happen is it will be, too. That&#x27;s gonna be 98 too. So negative. 10,003 01 plus 10,019 is gonna be negative to 82. And so, if we write this as a compound inequality, the range of values of the Earth&#x27;s surface basically asserts Earth&#x27;s surface, its altitude is gonna arranged from negative 282 to 20,000 320. And this is our answer to this problem

Charles Carter · Answer

wants me to write a compound inequality to describe the situation. We have the highest elevation. North America is 20,320 feet above sea level, and the lowest elevation is that negative is at 282 feet below sea level. So I can describe this compound any quality that all the heights in America are gonna be between, uh, negative to Eddie to Death Valley and the highest point at 20,000 320. That&#x27;s Mount McKinley. Okay, thank you very much.

William Greiner · Answer

first find the midpoint between the highest elevation and the lowest elevation, which is 10,000 in 19 feet. Then calculate the distance from the mid point to the highest and the lowest, which is 10,000 301. Place your midpoint inside the absolute value and place your distance on the other side of the equal sign, and this should be your equation.

Karuna Ramroop · Answer

All right. So we need to translate these two expressions. Report A. We need two trains, like the expression 20,320 feet above sea level, pooper party. And we need to translate 282 feet below sea level. So for part A, um, if we are above sea level above clues, a soon to the fact that we&#x27;re in the positives. So if we were above sea level, we&#x27;re positive sum amount. We&#x27;ve been told we are above the sea level by 20,000, 320 feet. So that means this should be a positive 20,320. You don&#x27;t normally, right? Um, the positive sign in front of positive numbers. So we&#x27;re just gonna write this as 20,000 300 28 knowing that it is also if but we don&#x27;t need to write that positive side or part B, we are translating the expression 282 feet, lows level. So the bolo tells us that we&#x27;re working with a negative this time. And since it&#x27;s 282 feet, that means that should be negative. 282. And those are insurgents.

Karly Williams · Answer

hi, everyone. So today, the problem says in Colorado, there are more than 50 mountains with an elevation over 14,000 feet. The table shows the 10 tallest used the symbol to fill in the appropriate inequality. Simple. Okay, so we&#x27;re gonna do equal Greta Van or less than so let&#x27;s start with a So we need to find the elevation of La Plata Peak. So La Plata is 14,336 okay and mount on Tero. So Mountain Tero is 14,269. Well, 14,336 is bigger than 14,269 so it&#x27;s going to be greater than so. The elevation of a block, a peek is Greta Van the elevation of Mount on Thorough. So let&#x27;s go to be so we have Blanca Peak. It&#x27;s 14,000 345 okay? And we also have Mount Elbert Elbert. Still the family Albert. It&#x27;s 14,000 433 so 14,345 is smaller than 14,433 so it&#x27;s going to be less than so. The elevation of Blanca P is less than elevation of Mount Elbert. So Okay, now we move on to see we have Grey&#x27;s Peak, which is 14,270 okay. And we have Mount Lincoln, which is 14,286. Okay, well, 14,270 is smaller than 14,286 so it&#x27;s going to be less than so. The elevation of Gray&#x27;s peak is less than the elevation of Mount Lincoln. Okay, so now we can move on to D. So now we have, Let&#x27;s see, the elevation of Mount Massive is 14,421 and we have Kristen Peak, which is 14,294. Well, 14,421 is smaller than 14,000. No, for 2421 is greater than 14,294. So the elevation of Mount Massive is great. Riband. Elevation of Chris Stone Peak. It looks like I got cut off of the bottom here a little bit, but we have now Harvard, which is sorry about that. Let&#x27;s just reset and we do that. Okay, so we have Mount Harvard, which is 14,420 and we have on. I don&#x27;t know how to pronounce that. We had just have the last speaker here, which is 14,309. So 14,420 is greater than 14,309. So it&#x27;s greater than so. The elevation of about Harvard is Greta Van, Elevation of unknown Compare Gray Peak. So we have great a van less than less than Greta Van in Greater Van.

Sarah Lewites · Answer

So in this problem where you want to find the height of the monument. So we&#x27;re finding this side and we call it H. And so we know some other information. We know that this side here is 1000 feet and that this angle of elevation here is 29.5 degrees so we can find a choosing right triangle trick. So we know that tangent of 29.5 degrees is equal to the opposite side, which is each over at the adjacent side, which is 1000. So h is 1000 times tangent of 29.5 to Greece. And so this isn&#x27;t a known value from the unit circle. So we need to do a calculator and we&#x27;re going around to the nearest half foot. So in putting this into a calculator, we get 555 0.45 civil around that to 555.5 eso 585 and 1/2 and the unit here is feet. So this is our answer

Problem 28 Hard Difficulty

Elevation of land in the United States is given by the inequality $|h-10,019| \leq 10,301$ where $h$ is the height in feet. What is the range of elevations in the United States?

Answer

Between $-282$ and 20320

Related Courses

Algebra 2 and Trigonometry

Related Topics

Discussion

Top Educators

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Ann Xavier Gantert

Algebra 2 and Trigonometry

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Between $-282$ and 20320

Algebra 2 and Trigonometry

Ann Xavier GantertAlgebra 2 and Trigonometry

Ann Xavier Gantert

Algebra 2 and Trigonometry