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Colt1911 [192]
3 years ago
7

Name 2 characteristics of the Polar Coordinate System

Mathematics
2 answers:
notka56 [123]3 years ago
7 0

Answer:

.I will list some characteristics:

The polar coordinates only uses 2 variables:

r, that is the radius and can have values equal or greater than zero, this is:

0 ≤  r

and θ, which is the angle, we measure the angle from the x-axis and it grows counterclockwise. An interesting this about this variable is that, while we can have any value for θ, we have that θ is a periodic variable with a period of 2*pi

So if we have θ = A, is the same that having θ = A + n*2*pi, where n can be any integer number

And we can transform the rectangular cordinates to polar cordinates by:

x = r*cos(θ)

y = r*cos(θ)

Andrews [41]3 years ago
5 0

Answer:

A pole is the point in a polar coordinate system used as a reference. The polar axis is a fixed ray with origin at the pole, usually horizontal, from which an angle can be established. A polar coordinate is an ordered pair of numbers (r, θ) which represents a point in the polar coordinate system, where if r is the distance from the point to the pole and θ is the angle formed between the polar axis and a ray extending from the pole through the point.

Step-by-step explanation:

got a 100 on edge 2020

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Luda [366]

Answer:

SAS theorem

Step-by-step explanation:

If \frac{CE}{CB} = \frac{DC}{AC} and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

\frac{EC}{BC} =  \frac{14}{21} = \frac{2}{3}           \frac{DC}{AC} = \frac{18}{27} = \frac{2}{3}

So,  \frac{CE}{CB} = \frac{DC}{AC}  and m∠ECD = m∠BCA because vertical angles are congruent

Therefore ΔECD is similar to ΔBCA by SAS theorem

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2 years ago
Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

<u>(x-4)^2 + (y+5)^2 = 324</u>

3 0
3 years ago
John left school with $8.43. He found a quarter on his way home and then stopped to buy an apple for $0.89. How much money did h
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Answer:

He had $7.79.

Step-by-step explanation:

8.43 + 0.25 = 8.68

8.68 - 0.89 = 7.79

5 0
3 years ago
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x = -27

Step-by-step explanation:

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