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ANTONII [103]
3 years ago
7

If the sum of the interior angles of a polygon is 3780o, find the number of sides.

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

23 sides

Step-by-step explanation:

The sum S of the interior angles of an n sided polygon is given as

S = (n - 2)180°

Where S is the sum of the interior angles and n is the number of sides.

Given that the sum of the interior angles is 3780° then

3780° = (n - 2)180

Divide both sides of the equation by 180

21 = n - 2

n = 21 + 2

= 23

The polygon has 23 sides

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Which conic's equation has 2 squares with the same signs and different leading coefficients?
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We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

A*(x - a)^2 + B*(x - b)^2 = R^2

Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.

For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.

If we write:

A = 1/C

B = 1/K

(both are positive, because "it has two squares with the same signs").

Then we get the equation:

\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2

We get the equation we wanted.

The same sign in both square parts and different leading coefficients.

The above equation is the general equation of an ellipse.

If you want to learn more, you can read:

brainly.com/question/10311514

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2 years ago
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8 0
3 years ago
X2 can be combined with X?
natulia [17]

Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

3 0
3 years ago
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Alborosie

Answer:

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Step-by-step explanation:

What you do is you have to do the quadratic equation like it says in the problem.

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2-sqrt14/2, 2+sqrt13/2. is your answer once you have done everything.

​  

​

6 0
3 years ago
How do I solve<br> This
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Answer:

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Step-by-step explanation:


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