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4 years ago

Suppose a game of 3-D tic tac toe is played on a 6x6x6 cube. How many winning lines of 6-in-a-row are there through the cube?

1 answer:

7 0

On a cube of side k and n dimensions, there are
[(k+2)ⁿ - kⁿ] / 2
winning lines.

In your case,
k = 6
n = 3

Therefore:
[<span>(6+2)³ - 6³] / 2
= (8</span>³ - 6³) / 2
= (512 - 216) / 2
= 148

Hence, there are 148 6-in-a-row winning lines through the cube.

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A ribbon 105 centimeters long is cut into two pieces. One of the pieces is four times longer than the other. What is the length,

lions [1.4K]

Answer:

21 cm

Step-by-step explanation:

The two pieces have a length ratio of 1 : 4, so the shorter piece is 1/(1+4) = 1/5 of the total length.

105 cm/5 = 21 cm

The shorter piece is 21 cm.

_____

We assume you can figure out how to write only the digits of the number.

4 0

3 years ago

Solve the Equation below : t -1/3 = 1/8 Solve for t.

Mrac [35]

t-1/3= 1/8

t-1/3+1/3= 1/8+1/3

t= 1/8+1/3

Find common denominator for the fractions.

common denominator is 24

Multiply by 3 for 1/8

Multiply by 8 for 1/3

t= 3/24+8/24

t= 11/24

Answer is t= 11/24

7 0

3 years ago

A wallet containing 2 five dollar bills 9 ten dollar bills is found and returned to its owner. The wallet's owner will reward th

kolbaska11 [484]

Answer: Probability of twenty- dollar bill is 0.

Step-by-step explanation:

Number of five dollars = 2

Number of ten dollars = 9

Total number of dollars is given by

$2+9=11$

Since there is no twenty dollar bills.

So, Probability of getting twenty- dollar bill is given by

$\frac{\text{ Number of favourable outcomes}}{\text{ total number of outcomes}}\\\\=\frac{0}{11}\\\\=0$

Hence, Probability of twenty- dollar bill is 0.

3 0

4 years ago

Kai wrote the number 85 on the board. Is 85 prime or composite? Explain.

yanalaym [24]

Composite because it can go into 2 and other numbers

4 0

3 years ago

How do I find a slope for (-2,1)and(0, -3)

Finger [1]

slope = (y2-y1)/(x2-x1)

m = (-3-1)/(0--2)

m=-4/(0+2)

m = (-4)/2

m=-2

The slope is -2

7 0

4 years ago