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WITCHER [35]
2 years ago
7

The main mast of a fishing boat is supported by a sturdy rope that extends from the top of the mast to the deck. If the mast is

20ft tall and the rope attached to the deck is 15ft away from the base of the mast,how long is the rope?
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
5 0
25
a^2+b^2=c^2
20^2+15^2=c^2
400+225=c^2
625=c^2
**square root both sides**
c=25
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algol [13]

Answer:

11.3 ft

Step-by-step explanation:

sin = opp/hyp

hyp = opp/sin

AC = 10/sin62

Use calculator

AC = 11.325700506890392

11.3 ft

8 0
2 years ago
To decrease an amount by 62%, what single multiplier would you use?
adell [148]
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5 0
2 years ago
chelsea takes the bus to school,but she walks home. the bus travels to the school at an average speed of 45 miles per hour. whil
jekas [21]
For this case, the first thing you should know is:
 d: v * t
 Where,
 d: distance
 v: speed
 t: time
 To go to school by bus we have:
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 To return from school we have:
 d = 2.5 * (1-t)
 how the distance is the same:45 * t = 2.5 * (1-t)
 Answer:
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4 0
3 years ago
What is the quadratic regression equation for the data set? ​ ​ ​ <br><br> PLEASEE HELP ME
Soloha48 [4]
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\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}

To solve \mathbf{Ax}=\mathbf b, multiply both sides by the transpose of \mathbf A, which introduces an invertible square matrix on the LHS.

\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b

Computing this, you'd find that

\mathbf x=\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}\approx\begin{bmatrix}121.119\\-3.786\\-0.175\end{bmatrix}

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8 0
3 years ago
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Ksju [112]

Answer:

C

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8 0
3 years ago
Read 2 more answers
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