Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:
So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.
There are two ways you can do this. You can use the longer way:
15+16+17+18+19+20+21+22+23+24 = 195 (starting from the top row, which has 15 logs, up until the bottom row, which has 24 logs, on condition that each second row has one log more than the previous one)
You can also use the formula (where n is the number of rows)
x= (n(first term+last term))/2
x= (10(15+24))/2
x= (10*39)/2
x=390/2
x=195
Either way, there are 195 logs in the stack.
The formula for an area of a circle is
A=pi times radius squared
there for you do pi times 9.5 to the power of two/squared (radius is half of the diameter so 19 divided by 2 is 9.5)
pi times 9.5 squared
= 283.5
I rounded to the nearest tenths
Answer:
y > 2/3x - 1/5
y ≥ 3/2x + 1/5
y ≤ 2/3x + 1/5
y < 3/2x - 1/5
(Assume that the question want you to draw a graph)
Remember:
> or < is a dotted line
≥ or ≤ is a solid line
