My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 12th, 2018, 11:40 PM   #1
Member
 
Joined: Apr 2018
From: On Earth

Posts: 34
Thanks: 0

Please help with Paper Question!

I do not really know how I should go about doing question number 4c, which I have highlighted in yellow. If i knew how to do 4C I am pretty sure that I would be able to do the next questions, but I am stuck on this, please help!
Attached Images
File Type: jpg a.jpg (67.8 KB, 9 views)

Last edited by Student2018; April 12th, 2018 at 11:53 PM.
Student2018 is offline  
 
April 12th, 2018, 11:46 PM   #2
Senior Member
 
Joined: Oct 2009

Posts: 436
Thanks: 147

I can't read anything on the attachment
Micrm@ss is online now  
April 12th, 2018, 11:57 PM   #3
Member
 
Joined: Apr 2018
From: On Earth

Posts: 34
Thanks: 0

This should be better

This should be better
Student2018 is offline  
April 16th, 2018, 06:59 AM   #4
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 3,261
Thanks: 894

I don't see a "4" so I assume that the (a), (b), (c), etc. on the page are all problem 4.

Basically you start with a paper size "$\displaystyle A_0$", of area 1 square meter and make smaller sheets by cutting the previous sheet in half. So $\displaystyle A_1$ has area 1/2(1)= 1/2 square meter, $\displaystyle A_2$ has area have of that (1/2)(1/2)= 1/4, $\displaystyle A_3$ has area half of that, (1/2)(1/4)= 1/8, etc. Since we are just multiplying by 2 in the denominator we have powers of 2 in the denominator: $\displaystyle A_n$ has area $\displaystyle frac{1}{2^n}$. That was question (a) and you were able to do that, right?


For the next question we are told that the dimensions of $\displaystyle A_4$ are x meters long and y meters wide. $\displaystyle A_3$ is formed by putting two of those together, length wise. So $\displaystyle A_3$ has length x m still but width 2y m. That is (b) and, since you are not asking about (b), you were able to do that, correct?

Now (c) asks us to use both (a), that $\displaystyle A_n$ area $\displaystyle \frac{1}{2^n}$ square meters, and (b). that while [math]A_4[math] has length x m and width y m, $\displaystyle A_3$ has length x m and width 2ym to determine x and y separately.

I'm not sure we really use the results of (a) and (b)! I would simply note that original sheet $\displaystyle A_0$ had both length and width 1. Since we keep the same length, cutting only lengthwise each time, halving the width, the length of $\displaystyle A_n$ is x= 1 while the width is $\displaystyle \frac{1}{2^n}$ m.
Country Boy is offline  
April 16th, 2018, 07:23 AM   #5
Global Moderator
 
Joined: Dec 2006

Posts: 19,299
Thanks: 1688

They're all question 4, as can be seen in this pdf file.
skipjack is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
paper, question



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Question about Dedekind's paper "Continuity and Irrational Numbers" Yosef Number Theory 4 July 12th, 2017 10:46 AM
Can Anyone find X on this paper? Gobsheite Trigonometry 7 June 27th, 2017 06:46 PM
Rock Paper Scissors Probability Question EvanJ Advanced Statistics 15 August 13th, 2014 02:34 PM
Differentiation exam paper question Mediocre1981 Calculus 4 August 29th, 2008 12:58 PM
the paper bigli Real Analysis 3 May 22nd, 2007 10:00 AM





Copyright © 2018 My Math Forum. All rights reserved.