Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Agh! Somebody PLEASE help!!!!
Joshua is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is five inches. Joshua dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 80 inches.
How many dilations did Joshua perform including the dilation of Rectangle A?
 one year ago
 one year ago
Agh! Somebody PLEASE help!!!! Joshua is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is five inches. Joshua dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 80 inches. How many dilations did Joshua perform including the dilation of Rectangle A?
 one year ago
 one year ago

This Question is Closed

eseidlBest ResponseYou've already chosen the best response.1
Well, first off, what will be the length of rectangle B?
 one year ago

eseidlBest ResponseYou've already chosen the best response.1
Yeah, should be (unless I'm missing something)dw:1343835098119:dw
 one year ago

eseidlBest ResponseYou've already chosen the best response.1
So, \[l_{0}=5\]\[l_{1}=5*2\]Now we dilate this again,\[l_{2}=(5*2)*2=5*2^2\]seeing a pattern,\[l_{n}=5*2^n\]
 one year ago

eseidlBest ResponseYou've already chosen the best response.1
But, we want to know how many dilations, n, gives us a length of 80. \[5*2^n=80\]Can you take it from here?
 one year ago

computergeek123Best ResponseYou've already chosen the best response.0
What do I do next?
 one year ago

eseidlBest ResponseYou've already chosen the best response.1
First divide both sides by 5. You get:\[2^n=16\]What is n?
 one year ago

eseidlBest ResponseYou've already chosen the best response.1
Do you understand exponents? If n=1 \[2^1=2\]If n=2\[2^2=2*2=4\]etc...
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.