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3 years ago

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Mathematics

1 answer:

navik [9.2K]3 years ago

4 0

Answer:

L=10pi, or 31.42

Step-by-step explanation:

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What is the perimeter, in units, of polygon ABCDEF

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2.4

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The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the numb

disa [49]

Answer:

Equivalent equation of $s =180(n-2)$ is $n =\frac{s}{180}+2$

And the number of sides does a polygon have is, n =9.

Step-by-step explanation:

Given:

The sum of the interior angles, 's' in a n-sided polygon can be determined

using the formula is: $s =180(n-2)$ .....[1]

where n is the number of sides.

We can write the equivalent equation of [1]

$s = 180(n-2)$

Divide both sides by 180;

$\frac{s}{180} =\frac{180(n-2)}{180}$

Simplify:

$\frac{s}{180}=n-2$

Add 2 to both sides of an equation:

$\frac{s}{180}+2=n-2+2$

Simplify, we get;

$n =\frac{s}{180}+2$ ......[2]

Now, to find the value of n ;

Given: s =1260°

Substitute this value in [2] we get;

$n =\frac{1260}{180}+2$

n = 7+2 =9

Therefore, the number of sides in a polygon is, n=9

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3 years ago

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wel

Answer:

$by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37$

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3 years ago

Find all values of thetaθ, if thetaθ is in the interval [0degrees°, 360degrees°) and has the given function value cot thetaθ

Kobotan [32]

In the first quadrant, 0-90 degrees, the angle whose cotangent is is 45 degrees. The only other quadrant where cot theta is 1 is 3rd quadrant.

The 2 angles are 45 and 180+45 = 225 degrees

Answer 45 , 225 degrees.

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3 years ago

Please help I need help￼

Please help I need help