A community for students.
Here's the question you clicked on:
 0 viewing
Answerthisnow
 3 years ago
Sean is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is four inches. Sean 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 32 inches.
How many dilations did Sean perform including the dilation of Rectangle A?
Answerthisnow
 3 years ago
Sean is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is four inches. Sean 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 32 inches. How many dilations did Sean perform including the dilation of Rectangle A?

This Question is Closed

thomasj
 3 years ago
Best ResponseYou've already chosen the best response.1a to b gives length of 8. Next, 8 to 16 then 16 to 32. so he did it 3 times

integralsabiti
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1335127852297:dw

imagreencat
 3 years ago
Best ResponseYou've already chosen the best response.0If you want a formula, you can actually use the geometric progression for this. Anought = 4 inches. Geometric ratio = 2 A sub n = 32 inches. n is the unknown. The solution for geo series is Asubn = (Anought)((geo ratio)^(n1)) Substituting, we have: 32 = (4)((2)^(n1)) 8 = 2^(n1) 2^3 = 2^(n1) 3=n1 n=4 He did 4 dilations.

imagreencat
 3 years ago
Best ResponseYou've already chosen the best response.0He did 3 dilations, i'm sorry. 32 inches was the length of his 4th rectangle. But the dilations didn't start from n=1 as this is the original rectangle, there weren't dilations performed.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.