Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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?
 one year ago
 one year 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?
 one year ago
 one year ago

This Question is Closed

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

integralsabitiBest ResponseYou've already chosen the best response.1
dw:1335127852297:dw
 one year ago

imagreencatBest ResponseYou've already chosen the best response.0
If 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.
 one year ago

imagreencatBest ResponseYou've already chosen the best response.0
He 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.
 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.