1

In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:

Anni [7]

The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

Length of the <em>major</em> semiaxis ( $a$ ).
Length of the <em>minor</em> semiaxis ( $b$ ).
Distance between the foci and the center of the ellipse ( $c$ ).

And there is the following relationship:

$c = \sqrt{a^{2}-b^{2}}$ (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity ( $e$ ), which is defined by the following formula:

$e = \frac{c}{a}$ , $0 \ge c \ge 1$ (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. $\blacksquare$

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

3 0

2 years ago

The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temper

Inessa05 [86]

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Step-by-step explanation:

The formula of the average of a set of data is $A=\frac{S}{N}$ , where

S is the sum of the data in the set
N is the number of the data in the set

∵ The low temperatures in Anchorage, Alaska, for a week were

− 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius

∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}

- Add the data in the set

∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14

∴ S = -35

∵ The set has 7 data

∴ N = 7

- Use the formula of the average above to find it

∴ $A=\frac{-35}{7}$

∴ A = -5

∴ The average of the original set of numbers is -5

To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum

∵ The number of data after removing two numbers is 5

∴ N = 5

∵ A = -5

- By using the rule of average

∴ $-5=\frac{S}{5}$

- Multiply both sides by 5

∴ -25 = S

∴ The new sum is -25

- Lets find which two numbers of have a sum of -10 because

the difference between -35 and -25 is -10

∵ -1 + -9 = -10

∵ -6 + -3 + 1 + -3 + -14 = -25

∴ We could removed -1 and -9

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Learn more:

You can learn more about the average in brainly.com/question/10764770

#LearnwithBrainly

7 0

3 years ago

Jamila has to purchase a new car and is putting 1 over 3

iris [78.8K]

I did the work and it's D. i believe

8 0

3 years ago

Square root of (-16)^2

katen-ka-za [31]

Answer: $\sqrt{(-16)^{2} } =16$

Step-by-step explanation:

I looked it up on my calculator. I hope this helps!! :)

5 0

2 years ago

A principal simulated a student raffle using 500 trials and recorded the grade level of the winner each time. The results are sh

AlexFokin [52]

Answer:

0.16

Step-by-step explanation:

Given the data:

Students __ `Gr_9 __Gr_10 __ G_11 __G_12

Frequency : 152 ___130 ______ 80 ___98

The probability is :

Frequency of grade 11 / number of trials

80 / 500

7 0

3 years ago