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muminat
3 years ago
15

Please help!!!

Mathematics
1 answer:
amid [387]3 years ago
3 0

9514 1404 393

Answer:

  32.4 feet

Step-by-step explanation:

The applicable relationship between angle and triangle lengths is ...

  Sin = Opposite/Hypotenuse

The dock height is the side of the triangle opposite the given angle. The desired length is the hypotenuse of the triangle, so we have ...

  sin(18°) = (10 ft)/s

  s = (10 ft)/sin(18°) = (10/0.30902) ft

  s ≈ 32.4 ft

The length of the rope is about 32.4 feet.

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Feliz [49]

Check the picture below.

so, we know the parabola has a vertex at (0 , 50), we also know it passes through (60 , 0), so then

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{vertex}{(0~~,~~50)}\implies y=a(x-0)^2+50\implies y = ax^2+50 \\\\\\ \begin{cases} x =60\\ y = 0 \end{cases}\implies 0=a6^2+50\implies -50=3600a\implies -\cfrac{50}{3600}=a \\\\\\ -\cfrac{1}{72}=a~\hfill therefore~\hfill \boxed{y=-\cfrac{1}{72}x^2+50}

so then, what's "y" when x = 25?

y=-\cfrac{1}{72}25^2+50\implies y = -\cfrac{625}{72}+50\implies y = \cfrac{2975}{72}\implies y\approx 41.32

8 0
3 years ago
Please help me with this question.​
alexandr1967 [171]

Answer:

Step-by-step explanation:

Hello

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thanks

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Step-by-step explanation:

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3 0
3 years ago
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