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shutvik [7]
3 years ago
7

How many diagonal can you drew from one vertex

Mathematics
1 answer:
Annette [7]3 years ago
8 0
The answer is 3 diagonals
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Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
2 years ago
1-(1.00375) exponent-12(30)
victus00 [196]

Answer:

360

Step-by-step explanation:

7 0
3 years ago
What is the sum of the measures of the interior angles formed by the boundary of this team pennant?
Debora [2.8K]
I think the correct answer from the choices listed above is option C. The <span>sum of the measures of the interior angles formed by the boundary of this team pennant should be 180 degrees since all triangles has a sum of interior angles which is 180 degrees. Hope this answers the question.</span>
3 0
2 years ago
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Three times the sum of a number and 4 is twice a number minus 8.
amm1812

Answer:

Step-by-step explanation:

3(n+4)=2n-8

3n+12=2n-8

5n= -20

n= -4

8 0
3 years ago
How is a property tax similar to and different from an income tax?
valina [46]

Answer:

Property tax is an ad valorem tax assessed on real estate by a local government and paid by the property owner. Income tax is tax levied by a government directly on income, especially an annual tax on personal income. Both pay the government but one is for their land and the other is for money they make.

5 0
3 years ago
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