Answer: Polygon Q's area is 1/4 of Polygon P's area
======================================================
Explanation:
Imagine we had a square with side length 8. The area of this square is 8*8 = 64.
Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.
Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.
In other words,
new smaller area = (1/4)*(old larger area)
So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.
You can add the numbers together so:
12.6
3.1
<u>+ 5.4
</u> 21.1
<u>
</u>Since the sum of the numbers is 21.1, it is greater than 20<u>
</u>
The expirmental probability us 28/50
Theoreticaly the probability is 25/50 because that would be half :)
Answer:
Kirk wrapped 7 presents with those 23.8 cm of tape.
Step-by-step explanation:
Figure out the unit rate:
10.2 cm tape
-------------------
3 presents
or
3 presents
-----------------------
10.2 cm tape
Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:
(3 presents)(23.8 cm tape
--------------------------------------- = 7 presents
10.2 cm tape
Kirk wrapped 7 presents with those 23.8 cm of tape.