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4 years ago

For the polygon, use Euler's Formula to find the missing number. Faces:? edges:13 vertices:8

Mathematics

1 answer:

bezimeni [28]4 years ago

6 0

Answer:

F = 7

Step-by-step explanation:

Euler's formula relating faces, edges, vertices is

V - E + F = 2

8 - 13 + F = 2

- 5 + F = 2

F = 5 + 2

F = 7

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3 years ago

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4 years ago

john has us and foreign stamps in his album. the ratio of the numer of us stamps to foreign stamps is 5:2. after paul gives him

VLD [36.1K]

Answer:

The number of U.S stamp he has is 120.

Step-by-step explanation:

John has us and foreign stamps in his album. the ratio of the number of U.S stamps to foreign stamps is 5:2.

After Paul gives him 12 foreign stamps the ratio becomes 2:1.

Now, to find the number of U.S stamps.

Let the U.S stamps be $x.$

And the foreign stamps be $y.$

Now, to solve by using cross multiplication method:

So, the ratio is:

$\frac{x}{y} =\frac{5}{2}$

By cross multiplying we get:

$2x=5y$

Dividing both sides by 2 we get:

$x=\frac{5y}{2}$ ......(1)

Now, after Paul gives him 12 foreign stamps the ratio becomes:

$\frac{x}{12+y} =\frac{2}{1}$

By cross multiplying we get:

$x=24+2y$

Putting the value of $x$ as we get in above equation (1):

$\frac{5y}{2} =24+2y$

Multiplying both sides by 2 we get:

$5y=48+4y$

Subtracting both sides by 4y we get:

$y=48.$

The number of foreign stamps = 48.

Now, to get the number of U.S stamps by putting the value of $y$ in equation (1):

$x=\frac{5\times 48}{2}$

$x=\frac{240}{2}$

$x=120.$

Therefore, the number of U.S stamp he has is 120.

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4 years ago

Which equation models the relationship between the two variables in the table below?

Lilit [14]

Answer:

The answer is " $\bold{y=9^x}$ "

Step-by-step explanation:

In the given question some information is missing that is table attachment. In this table there are many element is defined, which can be given as follows:

$x = -1 \ \ \ \ y = 0.111\\x =1 \ \ \ \ \ \ y = 9\\x =2 \ \ \ \ \ \ y = 81\\x =4 \ \ \ \ \ \ y = 6,561\\ x =5 \ \ \ \ \ \ y = 59,049\\$

Now check the value:

$y = x^9, \ x = -1, and \ y = (-1)^9 = -1 \ it \ is \ wrong.\\ y= 9x^2 \ gives \ value \ -9 \ that \ is\ wrong \ and \\\\ \ when \ \ x= 1 \\\\ y= 9^x \\ y= 9^1 \\y= 9 \ gives \ the \ correct \ value.$

3 0

4 years ago

How do you do this??

Galina-37 [17]

Answer:

answer is a or d im pretty sure

Step-by-step explanation:

4 0

3 years ago