Step-by-step explanation:
4(3x-2) + 6x(2-1)
10x + 11x
21x
Let's take a look at the first few numbers in the sequence based on the given rule:
Inspecting this pattern it seems like the power
is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be
. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as
Where
is the nth number in our sequence.
Answer:
379.56ft²
Step-by-step explanation:
Oh lordy why, okay we got this:
So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):
25 x 25 = 625
Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):
25 ÷ 2 = 12.5
12.5² = 156.25
3.14 x 156.25 = 490.625
Normally we would stop here, but because this is only a semicircle, we have to divide by two:
490.625 ÷ 2 = 245.3125
So, now that we have our two areas, we have to subtract the semicircle from the square:
625 - 245.3125 = 379.6875
Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56
So, the area of the figure is 379.56ft²
if this is wrong let me know so I can fix it
hope this helps:)
When it comes to deductive reasoning, it is used to reach a logical solution. You start out with the general statement, or hypothesis, and examine all the possibilities so you can reach the final conclusion.
Inductive reasoning is completely opposite - you focus on specific observations, and then make broad generalizations.
