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Brut [27]
2 years ago
5

Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}

Mathematics
1 answer:
MissTica2 years ago
3 0

Answer:

8.27 ft.

Step-by-step explanation:

Using trigonometry of a right angled triangle:

cos 74 = x / 30        where x is the required distance

x = 30 cos 74

= 8.269 ft

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What is the x-coordinate of the point of intersection for the two lines below?
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And the x-coordinate of the point of intersection for the two lines is:

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Step-by-step explanation:

  • As we know that the solution of the system of equations is the point of intersection. Let us solve it.

Given the system of equations

\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

2x-5y=-3

-

\underline{2x+y=-9}

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so

\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}

solving for y

-6y=6

Divide both sides by -6

\frac{-6y}{-6}=\frac{6}{-6}

y=-1

\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1

2x-1=-9

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Divide both sides by 2

\frac{2x}{2}=\frac{-8}{2}

x=-4

Thus, the x-coordinate of the point of intersection for the two lines below will be:

x=-4

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

  • (x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

  • x = -4

4 0
3 years ago
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