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Butoxors [25]
3 years ago
15

Properties of Parallelograms find x.

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0
23x - 1 = 45

23x = 1 + 45

23x = 46

x = 46 : 23

x = 2
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2 years ago
The eccentricity e of an ellipse is defined as the number c/a, where a is the distance of a vertex from the center and c is the
Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as e=\frac{c}{a}

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)

b) Eccentricity =5

5=\frac{c}{a} \:c=5a

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

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)

Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1

7 0
2 years ago
It’s another part to it all I need is 6 A. And B. And 7 D. that’s all I need to be exempt from exams I don’t think I have many p
shepuryov [24]

Answer:

See the photo for the answer

b = 6 feets on 6.b

8 0
2 years ago
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli
zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when M = 4, \sigma = 79.5. So

M = z*\frac{\sigma}{\sqrt{n}}

4 = 1.645*\frac{79.5}{\sqrt{n}}

4\sqrt{n} = 1.645*79.5

\sqrt{n} = \frac{1.645*79.5}{4}

(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}

n = 1068.92

Rounding up

We need to sample at least 1069 parents.

6 0
3 years ago
Read 2 more answers
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