All categories

2 years ago

What shapes can the composite figure be decomposed into? Select two options.

Mathematics

1 answer:

Dvinal [7]2 years ago

4 0

It would be two trapezoids and a rectangle + two triangles

You might be interested in

Which ordered pair would form a proportional relationship with the point graphed below?

earnstyle [38]

Answer:

(5, 20)

Step-by-step explanation:

7 0

1 year ago

The length of a rectangle is 6 cm

Tasya [4]

Answer:

12 cm L=6cm W= 2 A=L*W 6*2=12cm

Step-by-step explanation:

7 0

2 years ago

A store sells a package of comic books with a poster. A poster and three comic books cost $10.50. A poster and 12 comics cost $1

NikAS [45]

answer:

there you goooo

Explanation

4 0

2 years ago

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>

7 0

6 months ago

The cubic polynomial 3x^3+5x^2+12x+20 can be factored as

Anarel [89]

$3x( {x}^{2} + 4) + 5( {x}^{2} + 4) = \\ ( {x}^{2} + 4)(3x + 5)$

5 0

3 years ago