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3 years ago

6

Twice the length of a rectangle is three times the width. The perimeter of the rectangle is 320 cm. Find the dimensions of the r

ectangle.

1 answer:

alekssr [168]3 years ago

7 0

Answer:

106

Step-by-step explanation:

divided 320 by 3

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If x= sin theta then x/√1-x^2 is

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Well,

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In a store 60 cans of soup are arranged to be displayed in 10 equal rows. Why doe the fraction 10/60 not represent the situation

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3 years ago

Read 2 more answers

Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function : A = 24x-x^2 , where x = width , gives you t

Viktor [21]

Check the picture below, that's a parabolic graph of a quadratic equation with a negative leading coeffficient, like this one, the one in the graph is just for initial velocity, but, the highest point is at the vertex for any of these parabolas.

and this one is not exception, so where's the vertex? what's A or the y-coordinate when the vertex is reached?, well, let's check.

$\bf A=24x-x^2\implies A=-1x^2+24x+0\\\\
\textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
A = &{{ -1}}x^2&{{ +24}}x&{{ +0}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left(-\cfrac{24}{2(-1)}~~,~~0-\cfrac{24^2}{4(-1)} \right)\implies \left(12~~,~~ 0+\cfrac{576}{4} \right)
\\\\\\
\left(\stackrel{width}{12}~~,~~\stackrel{Area}{144} \right)$

so, that's the vertex, and when the width is that much, the Area reaches a maximum of that much.

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3 years ago