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2 years ago

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Find the area of the regular polygon

1 answer:

gregori [183]2 years ago

8 0

Answer:To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

hope this helps

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11-3 Which of the following is NOT<br> true about the mean?

kotegsom [21]

Answer:

what the question i don't undersand

Step-by-step explanation:

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3 years ago

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At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x axis?

LuckyWell [14K]

We have that
f(x) = (x – 5)³(x + 2)²

we know that
<span>the roots can touch or cross the x axis

</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

therefore

the answer is
<span>the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure

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3 years ago

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Which graph shows the solution to the following system of linear inequalities?

rusak2 [61]

Answer:

See attached picture.

Step-by-step explanation:

Graph and test solutions to create the shaded region.

5 0

2 years ago

storchak [24]

Answer:

x = 13.5

y = 7

(13.5,7)

what the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

Step-by-step explanation:

x + y = 20.5

x - y = 6.5

if we add the two equations we get:

2x = 27

x = 13.5

y = 20.5 - 13.5

y = 7

solution as an ordered pair:

(13.5,7)

What the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

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2 years ago

Two cones have their heights in the ratio 1 : 3 and the radius of their bases in the ratio 3 : 1, show that their volumes are in

Nuetrik [128]

<h2> $\large\bold{\underline{\underline{Question:-}}}$ </h2>

Two cones have their heights in the ratio 1 : 3 and the radius of their bases in the ratio 3 : 1 show that their volumes are in the ratio 3 : 1.

<h2> $\large\bold{\underline{\underline{Solution:-}}}$ </h2>

⇒ Ratio of heights of two cones = 1 : 3

⇒ Ratio of radius of their bases = 3 : 1

⇒ We know that V = 1/3πr²h

⇒ Ratio of their volume = V1 : V2

$\underline{ \underline{ \sf{Let's \: find \: the \: ratio \: of \: their \: volumes:}}}$

${ \implies{ \sf {V _{1} : V_{2}}}}$

${ \implies{ \sf{ \frac{1}{3} \pi \: { r_{1}}^{2} h_{1} : \frac{1}{3} \pi \: { r_{2} }^{2} h_{2}}}}$

${ \implies{ \sf{ {r_{1}}^{2} h_{1} : { r_{2}}^{2} h_{2}}}}$

${ \implies{ \sf{ \frac{ { r_{1} }^{2} }{ { r_{2} }^{2} } : \frac{ h_{2} }{ h_{1} } }}} \\$

${ \implies{ \sf{ \frac{ {3}^{2} }{ {1}^{2} } : \frac{3}{1} }}} \\$

${ \implies{ \sf{ \frac{9}{1} : \frac{3}{1} }}} \\$

${ \implies{ \sf{3 : 1}}} \\$

${ \therefore{ \sf{ \green{Ratio \: of \: their \: volumes = 3 : 1}}}}$

4 0

3 years ago