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Lostsunrise [7]
3 years ago
8

Use euler's formula to find the missing number vertices: 11edges: 34Faces: ?

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

F = 25

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2

Here V = 11, E = 34, thus

F + 11 - 34 = 2

F - 23 = 2  ( add 23 to both sides )

F = 25

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a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next
bazaltina [42]

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , n^{th} number in A.P is given by :

a_n=a+(n-1)d

Putting value of n = 2 , 3 , 4 .

We get :

a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

8 0
3 years ago
What is the probability that a family with three children will have all girls?
labwork [276]

Answer:

B) 1/8

Step-by-step explanation:

each child born has 50/50 to be a boy or a girl, so, we determine a Bernoulli process where p=0.5, and we need 3 out of 3 successes.

the probability will then be:

(0.5)³=0.125=1/8

3 0
1 year ago
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xenn [34]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

6z + 7  = 8z - 9

8z - 9 = 6z + 7

Add sides 9

8z - 9 + 9 = 6z + 7 + 9

8z = 6z + 16

Subtract sides 6z

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2z = 16

Divide sides by 2

\frac{2z}{2}  =  \frac{16}{2}  \\

z = 8

Thus ;

NP = 8z - 9

NP = 8(8) - 9

NP = 64 - 9

NP = 64 - 4 - 5

NP = 60 - 5

NP = 55

Done...

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6 0
3 years ago
((x-h)^2)+((y-k)^2)​
Schach [20]

Answer:

Step-by-step explanation:

= (x^2 + h^2 - 2xh) + (y^2 + k^2 - 2yk)     As, (a-b)^2 = a^2 + b^2 - 2ab

= x^2 + h^2 - 2xh + y^2 + k^2 - 2yk

5 0
3 years ago
How do i simplify 100.00 - 48.37
Andrej [43]

Answer:

51.63

Step-by-step explanation:

100.00

- 48.37

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______

5 0
2 years ago
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