3/4 in = 6 mi
? In = 32 miles
32 * 0.74 / 6 = 4 in
The distance apart is 4 in
Answer: Polygon Q's area is 1/4 of Polygon P's area
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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.
Answer:
4 7/20
Step-by-step explanation:
8 1/4 - 3 9/10
get a common denominator of 20
8 1/4 *5/5 - 3 9/10 *2/2
8 5/20 - 3 18/20
borrow 1 from the 8 in the form of 20/20
7 +20/20 + 5/20 - 3 18/20
7 25/20 - 3 18/20
4 7/20
6x - 6 - 7x = -13/2
Multiply both sides by 2:
12x - 12 - 14x = -13
Simplify:
-2x - 12 = -13
Add 12 to both sides:
-2x = -1
Divide both sides by 2:
-x = -1
Change to a positive value of x:
x = 1
