4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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Answer:
1) Decimal 
2) Binary 
3) Octal 
4) Hexadecimal 
Step-by-step explanation:
Given : Integer is 25
To find : Represent integer in decimal, binary, octal, and hexadecimal formats.
Solution :
1) Integer into decimal - To convert into decimal the base goes to 10.
So,
2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.
Divide 25 by 2 and note down the remainders.
2 | 25
2 | 12 R=1 ←
2 | 6 R=0 ↑
2 | 3 R=0 ↑
2 | 1 → R=1 ↑
So,
3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.
Divide 25 by 8 and note down the remainders.
8 | 25
| 3 → R=1
So,
4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.
Divide 25 by 16 and note down the remainders.
16 | 25
| 1 → R=9
So,
Answer and Step-by-step explanation:
The computation is shown below;
As we know that
The simple interest is
Simple interest = Principal × rate × time
For Account A, the principal would be
2 = Principal × 3.2% × 3
So, the principal is $20.83
For account B, the principal would be
38.50 = Principal × 2.2% × 30
So, the principal is $58.33
Now the interest for both the accounts are as follows
For account 1
= $20.83 × 3.2%
= $0.67
And, for the account 2
= $58.33 × 2.2%
= $1.28
As it can be seen that the account 2 has the highest interest
The same is to be considered
I am assuming that the whole 3x - 6 in the fraction is the numerator
the this simplifies to 3x (3x - 6)
= 9x^2 - 18x (C)
I believe the answer is B.
Explanation: In the problem, it states that “Karen says MOST middle school students’ favorite band is Rhonda and the Gees.” Pay attention to the keyword, most. Only 65 students like Rhonda and the Gees, so it is too small to represent a middle school of 1,156. So, therefore, the answer should be B.
