For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:

Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:

Rewriting we have:
Answer:
The scale factor of dilation is given by:
Answer:
= 4374.
Step-by-step explanation:
it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.
This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.
Answer:
31° change
Step-by-step explanation:
If we want to find the change between two numbers, we need to imagine it like a number line.
<-------------0------------->
Let's plot -7 and 24 on this number line.
<----------
--0------------24>
If we want to get from -7 to 0, we increase by 7. To get from 0 to 24, we increase by 24.
So the total change is
.
Hope this helped!
Answer:
B
Step-by-step explanation:
you have to make chart. You have to add 1.25 to your total every 6 months.
- Start $15.50
- 6 months $15.75
- 12 months $18.00
- 18 months. $19.25
Answer:
The answer to your question is 658.2 ft³
Step-by-step explanation:
Data
Volume = x
height = 11.8 ft
radius = 7.3 ft
Formula
Volume of a cone = 1/3πr²h
Process
1.- Calculate the volume
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(53.29)(11.8)
Volume = 1/3(1974.5)
Rounded to the nearest tenth
Volume = 658.2 ft³