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3 years ago

Is it possible to have a regular polygon with measure of each exterior angle as 22

Mathematics

2 answers:

harina [27]3 years ago

6 0

Answer:

Step-by-step explanation:

Number of sides of a polygon = 360°/measure each exterior angle

= 360°/22

= 16.36°

Since, answer is not a whole number, thus, a regular polygon with measure of each exterior angle as 22⁰ is not possible.

Thus the answer is no.

Sergeeva-Olga [200]3 years ago

6 0

Answer:

No, it is not possible.

Step-by-step explanation:

The sum of the exterior angles = 360

360 divided by 22 = 16.36

As 16.36 is not a whole number an exterior angle of 22 degrees is not possible.

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telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

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Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

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The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

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Since the parabola turns downwards,

$p=-2$ .

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We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

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