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3 years ago

Direction (1-5) : What Should come in place of the question mark in the following number series ?

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

5 to 8 is 3
8 to 10 is 2
10 to 12 is 2
12 to 16 is 4
so the next one is a difference of 4?
16+4=20
?=20

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Find the standard equation for the ellipse, using the given characteristic or characteristics. vertices:(0,+-7) foci: (0,+-√33)

Alexxx [7]

Answer:

$=\frac{x^2}{16} +\frac{y^2}{49}=1$

Step-by-step explanation:

The equation of this ellipse is

$\frac{(x-h)^2}{b^2} +\frac{y-k)^2}{a^2} =1$

for a vertical oriented ellipse where;

(h,k) is the center

c=distance from center to the foci

a=distance from center to the vertices

b=distance from center to the co-vertices

You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse

Given that

a= distance between the center and the vertices, a=7

c=distance between the center and the foci, c=√33

Then find b

$a^2-b^2=c^2\\\\b^2=a^2-c^2\\\\\\b^2=7^2-(\sqrt{33} )^2\\\\\\b^2=49-33=16\\\\\\b^2=16$

The equation for the ellipse will be

$\frac{(x-0)^2}{16} +\frac{(y-0)^2}{49} =1\\\\\\=\frac{x^2}{16} +\frac{y^2}{49} =1$

8 0

3 years ago

Can one please help me with this question

Nostrana [21]

Answer:

254.34 cm^2

Step-by-step explanation:

Volume of cylinder = $\pi r^{2} h$

We know that the diameter is 6, which means that the radius is 3 cm.

Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.

Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.

Substituting into the formula we will end up with 254.34 cm^2.

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aev [14]

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Step-by-step explanation:
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The larger the MAD tells us the values are spread out far from the mean .
Also, larger the MAD makes the mean less worthy as an indicator of the data elements within the data set.

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3 years ago

What angle relationship best describes angles AFC and DFB? WILL GIVE BRAINLIEST

Ivan

Answer:

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Step-by-step explanation:

they are vertical angles because they are vertically opposite each other and they are equal

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dimulka [17.4K]

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Step-by-step explanation:

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