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3 years ago

If three of the exterior angles of an equiangular polygon is total 90 degrees how many sides does the polygon have

Mathematics

1 answer:

kicyunya [14]3 years ago

7 0

Answer:

12 sides

Step-by-step explanation:

If the three equal angles add to 90, this means each of those angles must by 30 degrees.

Next, we can use the theorem that the sum of the exterior angles adds to 360 (this is true for any polygon). So, as the exterior angles are all equal to 30, we just work out 360 ÷ 30 = 12.

So the polygon has 12 angles, and therefore 12 sides also.

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2 years ago

Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.

BabaBlast [244]

Answer:

Choice D is correct

Step-by-step explanation:

The eccentricity of the conic section is 1, implying we are looking at a parabola. Parabolas are the only conic sections with an eccentricity of 1.

Next, the directrix of this parabola is located at x = 4. This implies that the parabola opens towards the left and thus the denominator of its polar equation contains a positive cosine function.

Finally, the value of k in the numerator is simply the product of the eccentricity and the absolute value of the directrix;

k = 1*4 = 4

This polar equation is given by alternative D

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3 years ago