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3 years ago

10

How are arc length and area of a sector related to proportionality?

1 answer:

kotegsom [21]3 years ago

7 0

The arc length is given as radius * arc = R*α
And area of sector = $\frac{1}{2} R^{2} \alpha$

Now, area/arc length = radius (R)/2
And, radius is not a constant quantity, thus, they are not proportional.
Thus, <span>How are arc length and area of a sector are not related to proportionality.</span>

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Vincent paints 75% of his statues. He paints 60 statues. How many statues does Vincent have in total?

fredd [130]

Answer:

80

Step-by-step explanation:

Let the total number of statues be s. Then 0.75s = 60, and s = (4/3)(60 statues) = 80

He has 80 statues total.

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3 years ago

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3 years ago

16: Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the Hyperbola y^2-16x

Morgarella [4.7K]

Answer:

Foci $(0,\pm\frac{\sqrt{17}}{4})$

Vertices: $(0,\pm 1)$

Eccentricity, e= $\frac{\sqrt{17}}{4}$

Length of latus rectum= $\frac{1}{8}$

Step-by-step explanation:

We are given that

$y^2-16x^2=1$

$y^2-\frac{x^2}{(\frac{1}{4})^2}=1$

The equation of hyperbola is along y-axis because y is positive

Compare the equation with

$y^2/a^2-x^2/b^2=1$ (Along y-axis)

We get

a=1, b=1/4

$a^2+b^2=c^2$

$1+\frac{1}{16}=c^2$

$\frac{16+1}{16}=c^2$

$c^2=\frac{17}{16}$

$c=\pm \frac{\sqrt{17}}{4}$

Therefore,

The coordinates of foci= $(0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})$

The coordinated of vertices= $(0,\pm a)=(0,\pm 1)$

Eccentricity, e=c/a

$e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}$

Length of latus rectum= $\frac{2b^2}{a}$

Length of latus rectum= $2\times \frac{1}{16}=\frac{1}{8}$

3 0

3 years ago

Plz help quick pls Brainly

pentagon [3]

Answer:

x is greater than or equal to -26

Step-by-step explanation:

We can use distributive property to solve the equation.

-6(x+4) in distributive property is: -6x-24

-6x-24 is less than or equal to -5x+2

+6x +6x

-24 is less than or equal to x+2

-2 -2

-26 is less than or equal to x

This means x is greater than or equal to -26

On the graph you would put a closed circle on -26 and point to the right.

Hope this helps! Good luck on your quiz!

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3 years ago

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slamgirl [31]

Answer:

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Step-by-step explanation:

14>u+10

14-10>u

4>u

Also, I've heard of something of "flipping" your sign when you minus a number or something. Can anyone explain that to me??

3 0

3 years ago