Step-by-step explanation:
There are 5 different positions of 666:
666////
/666///
//666//
///666/
////666
The forward dashes represent any number from 0 to 9.
Case 1: "666////"
Number of ways = 10⁴ = 10,000.
Case 2: The other positions.
Since the 1st forward dash cannot be 0 (leading digit),
Number of ways for each position = 9 * 10³ = 9,000
Number of ways for all 4 positions = 9,000 * 4 = 36,000.
Total evil numbers = 10,000 + 36,000 = 46,000.
You add the two numbers and divide them by two
Answer:
x = 5; y = 138, z= 42
Step-by-step explanation:
4x- 17 = 3 [ opposite sides of a parallelogram are equal]
4x = 3+ 17 = 20; X= 20/4 = 5
138 + Z = 180( angle on a straight line)
Z is an alternate angles to the remaining angle off 138 forming the straight line.
z= 180-138 = 42 degrees
Y = 138 [ opposite angles of a regular quadilareral been equal]
The difference would be subtracting the variables and the dividing the difference by 2
<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12
So volume is
At maximum volume we have derivative is zero,
Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
