Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
6.0 because if it is 0-4, you round down and 5-9, round up
Answer:
256
Step-by-step explanation:
The value is 256 because 4^4 is 4*4*4*4 which equals 256 :))
Hope this helps:)) Plz mark Brainliest :))
Answer:
Check below, please.
Step-by-step explanation:
Hi, there!
Since we can describe eccentricity as ![e=\frac{c}{a}](https://tex.z-dn.net/?f=e%3D%5Cfrac%7Bc%7D%7Ba%7D)
a) Eccentricity close to 0
An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)
![\frac{x^2}{a^2} +\frac{y^2}{b^2} =1 \:(Ellipse \:formula)\\a^2=b^2+c^2 \: (Pythagorean\: Theorem)\:a=longer \:axis.\:b=shorter \:axis)\\a^2=b^2+(0)^2 \:(c\:is \:the\: distance \: the\: Foci)\\\\a^2=b^2 \\a=b\: (the \:halves \:of \:each\:axes \:measure \:the \:same)](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%20%2B%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D1%20%5C%3A%28Ellipse%20%5C%3Aformula%29%5C%5Ca%5E2%3Db%5E2%2Bc%5E2%20%5C%3A%20%28Pythagorean%5C%3A%20Theorem%29%5C%3Aa%3Dlonger%20%5C%3Aaxis.%5C%3Ab%3Dshorter%20%5C%3Aaxis%29%5C%5Ca%5E2%3Db%5E2%2B%280%29%5E2%20%5C%3A%28c%5C%3Ais%20%5C%3Athe%5C%3A%20distance%20%5C%3A%20the%5C%3A%20Foci%29%5C%5C%5C%5Ca%5E2%3Db%5E2%20%5C%5Ca%3Db%5C%3A%20%28the%20%5C%3Ahalves%20%5C%3Aof%20%5C%3Aeach%5C%3Aaxes%20%5C%3Ameasure%20%5C%3Athe%20%5C%3Asame%29)
b) Eccentricity =5
![5=\frac{c}{a} \:c=5a](https://tex.z-dn.net/?f=5%3D%5Cfrac%7Bc%7D%7Ba%7D%20%5C%3Ac%3D5a)
An eccentricity equal to 5 implies that the distance between the Foci has to be five (5) times larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1 in other words:
![If\:e=\frac{c}{a} \:then\:c>0 , and\: c>0 \:then \:1>e>0](https://tex.z-dn.net/?f=If%5C%3Ae%3D%5Cfrac%7Bc%7D%7Ba%7D%20%5C%3Athen%5C%3Ac%3E0%20%2C%20and%5C%3A%20c%3E0%20%5C%3Athen%20%5C%3A1%3Ee%3E0)
c) Eccentricity close to 1
In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.
![a=c\\\\a^2=b^2+c^2\:(In \:the\:Pythagorean\:Theorem\: we \:should\:conceive \:b=0)](https://tex.z-dn.net/?f=a%3Dc%5C%5C%5C%5Ca%5E2%3Db%5E2%2Bc%5E2%5C%3A%28In%20%5C%3Athe%5C%3APythagorean%5C%3ATheorem%5C%3A%20we%20%5C%3Ashould%5C%3Aconceive%20%5C%3Ab%3D0%29)
![Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1](https://tex.z-dn.net/?f=Then%3A%5C%5C%5C%5Ca%3Dc%5C%5Ce%3D%5Cfrac%7Bc%7D%7Ba%7D%5Ctherefore%20e%3D1)
Answer:
option 2
Step-by-step explanation: