Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
computergeek123
Group Title
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?
 2 years ago
 2 years ago
computergeek123 Group Title
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?
 2 years ago
 2 years ago

This Question is Closed

eseidl Group TitleBest ResponseYou've already chosen the best response.1
Well, first off, what will be the length of rectangle B?
 2 years ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
10?
 2 years ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
Yeah, should be (unless I'm missing something)dw:1343835098119:dw
 2 years ago

eseidl Group TitleBest 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,\[l_{n}=5*2^n\]
 2 years ago

eseidl Group TitleBest 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?
 2 years ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
What do I do next?
 2 years ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
like how?
 2 years ago

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

eseidl Group TitleBest 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...
 2 years ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
Thanks
 2 years 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.