<h3>Answer:</h3>
- x = 5/6 in ≈ 0.83 in
- v = 125/108 in³ ≈ 1.16 in³
<h3>Explanation:</h3>
The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).
The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...
... v = (5/6)²×(5/3) = 125/108 . . . . in³
The corresponding decimal values of x and volume are ...
... x ≈ 0.83 in
... v ≈ 1.16 in³
3/2,000
= 3/2,000*100% (100%= 100/100= 1, so it does not change the outcome).
= 0.15%
The final answer is 0.15%~
To determine all the different possibilities, you will find the possible choices for each position in the license and multiply them together.
1st digit - 1/5 (1,3,5,7,9)
2nd digit-1/4(4 left from above)
3rd digit-1/8 (10-2=8 possible)
4th digit-1/7 (8-1)
5th digit-1/26 (26 letters)
6th digit-1/25 (26-1)
1/5 x 1/4 x 1/8 x 1/7 x 1/26 x 1/25 =1/728000 which means there are 728000 possibilities.
A polygon that has three sets of parallel lines would be a hexagon.
Answer:
should be correct!
Step-by-step explanation: