The volume of the prism is 31.25 cm cubed.
Therefore the container has a higher volume.
35 - 31.25 is 3.75.
The difference is 3.75
You can dispose a number of elements in a matrix-like formation with shape if and only if and both divide , and also .
So, we need to find the greatest common divisor between and , so that we can use that divisor as the number of columns, and then.
To do so, we need to find the prime factorization of the two numbers:
So, the two numbers share only one prime in their factorization, namely , but we can't take "too many" of them: has "three two's" inside, while has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include nor , because it's not a shared prime.
So, the greater number of columns is , which yield the following formations:
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that and , then the area of the regular nonagon is:
The area of the regular nonagon is 7921.8 square inches.
Answer:
(C) 5
Step-by-step explanation:
x+7=2y
<em>Subtract 7 from both sides</em>
x=2y-7
2y-7=x
<em>Multiply both sides by 2</em>
4y-14=2x
y=2x−1
<em>Add 1 to both sides</em>
y+1=2x
<u>Combine equations:</u>
y+1=4y-14
<em>Add 14 to both sides</em>
y+15=4y
<em>Subtract y from both sides</em>
15=3y
3y=15
<em>Divide both sides by 3</em>
y=5
<u>The answer is </u><u>(C) 5.</u>