Answer:
Aries originally had 48 cookies
Step-by-step explanation:
2 is half of 4
4 is 1/4th of 16
16 is 1/3rd of 48
check work by reversing steps:
Aries had 48 cookies, she gave 1/3 (16) to Ana. Ana gave 1/4th (4) to Edna, and Edna gives 1/2 (2) to Ruth.
Ruth has 2, so the work is correct.
For this case we have that by definition of multiplication of powers of the same base, the same base is placed and the exponents are added:
So, we can rewrite the given expression as:
So, if 
:
Equality is met!
Answer:
Answer:
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Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a regular hexagon given the apothem, which is shown below:
A=(Perimeter x Apothem)/2
2. You have the apothem, so you can calculate the perimeter. First, you have to know the lenghts of the sides:
Tan(30°)=x/√3
x=1
Side=2x
Side=2
Perimeter=2x6
Perimeter=12
3. Then, you have that the area of the base is:
A=(Perimeter x Apothem)/2
A=12x√3/2
A=6√3
A=10.39
B=10.39 cm²
The answer is: B=10.39 cm²
