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Ksivusya [100]
2 years ago
11

What is the length of arc S shown below?

Mathematics
1 answer:
blondinia [14]2 years ago
5 0

Answer:

15π or 47.12

Step-by-step explanation:

Given that :

θ = 3π/2

Radius, r = 10

Length of arc S :

Using the relation :

S = rθ ; r = central angle in radian

S = 10 * 3π/2

S = 30π/2

S = 15π or 47.12

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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
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check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


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-5+d/3=5 solve the equation what does d equal
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Hope this helps kiddo

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