Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is

where b is the length side of the square
we have

substitute


therefore

step 2
Find the area of ACIG
The area of rectangle ACIG is equal to

substitute the given values

step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to

we have 

substitute
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to

we have


substitute

step 5
sum the shaded areas

step 6
Divide the area of of the shaded region by the area of ACIG

Simplify
Divide by 5 both numerator and denominator

therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer:

Step-by-step explanation:
Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4 again), the probability of taking a specific path is the multiplication of the probability of these two steps:

There are only 4 roads that can take the ant to the bottom in 2 steps, each road with a probability of 1/16, adding the probability of these 4 roads:

The probability of the ant ending up at the bottom is
or 0.25.
Answer:
4y is your answer........
Answer:
12a^9b^7
Step-by-step explanation:
Multiplying variables of the same base, will require you to add the exponents.
4a^3b^2 * 3a^6b^5
4*3 = 12
a^3 * a^6 = a^9
b^2 * b^5 = b^7
12a^9b^7
Answer:
is equivalent to 
Step-by-step explanation:
Using exponent rules:

Given the expression:

⇒
Apply the exponent rule, we have;

Therefore, the given expression
is equivalent to 