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3 years ago

Help fast please !!!!!!!!!!!

Mathematics

1 answer:

Harman [31]3 years ago

5 0

Answer:

66 degrees

Step-by-step explanation:

angle WOX is congruent and vertical with angle YOZ

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What is the equation of x

masya89 [10]

Answer:

x=-48/5

Step-by-step explanation:

2x+7+3x=-41

5x+7=-41

5x=-41-7

5x=-48

x=-48/5

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2 years ago

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You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

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3 months ago

The president of the student council wants to survey the student population about parking. She decides to take a random sample o

iren2701 [21]

Answer:

Should be (B)

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ED2021

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2 years ago

94 = y/4 - 18<br><br> Im stuck

Marianna [84]

Answer:

y= 448

Step-by-step explanation:

<h2>PLEASE MARK BRAINLIEST</h2>

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Step-by-step explanation:

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