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Rom4ik [11]
3 years ago
13

Can someone help me on this ?

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

The answer is 4

Explanation:

hope this helped

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Help!10 points!Correct answer = Brainliest!
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Answer: y=3

Subtract the bottom left of the triangle from the number at the top of the triangle. Then that number is multiplied by the number at the bottom right of the triangle. 

To solve:

6-5=1

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y=3
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What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2
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\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2}    \end{gathered}$}

Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Add 4 and 3 to get 7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Use the distributive property to multiply −4 times x 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Multiply −4 by 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=-50 } \end{gathered}$}

Add 7 to both sides.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}

Divide both sides by −4.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}

The fraction \bf{\frac{-43}{-4}} can be simplified to \bf{\frac{43}{4}} by removing the negative sign from the numerator and denominator.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}

simplify

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}

<h2>{ Pisces04 }</h2>
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A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
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The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the mountain is 3110.5767 feet.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The height of the mountain from the first point,

\tan(29^o) = \dfrac{H}{x+1000}\\\\H = (1000+x) \times \tan(29^o)

The height of the mountain from the second point,

\tan(34^o) = \dfrac{H}{x}\\\\H = x \times \tan(34^o)

Equating the height,

H = H

(1000+x) × tan(29°) = x tan( 34°)

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Now, the height of the mountain is,

H = x tan(34°)

H = 3110.54776 feet

Hence, the height of the mountain is 3110.5767 feet.

Learn more about Tangent (Tanθ):

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