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3 years ago

Consider the ready-made tent with flooring included that is shown in de diagram below.

Mathematics

1 answer:

pshichka [43]3 years ago

3 0

Answer:

136 ft²

Step-by-step explanation:

<u>Total surface area is the amount of fabric:</u>

S = 2(1/2*6*4) + 2(7*5) + (7*6) = 136 ft²

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Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{4}{3}$ is applied to t

umka2103 [35]

The area divided by XYZ is 16/9

i.e. $\frac{A}{[XYZ]} = \frac{16}{9}$

The given parameters can be represented as:

$r = -\frac{4}{3}$ --- the ratio of dilation

The area of the second triangle is as follows:

$A =r^2 * \triangle XYZ$

Make $r^2$ as subject

$r^2 = \frac{A}{\triangle XYZ}$

Substitute value for $r^2$

$(\frac{4}{3})^2 = \frac{A}{\triangle XYZ}$

$\frac{16}{9} = \frac{A}{\triangle XYZ}$

Rewrite as:

$\frac{A}{\triangle XYZ} = \frac{16}{9}$

3 0

3 years ago

Rewrite the expression as a multiple of a sum of two numbers with no common factor. 9+6

Zarrin [17]

15 i dont know what u mean hope i helped bye

5 0

3 years ago

4. For the function g(x) shown graphed below, over which of the following intervals is g(x)

NeX [460]

Answer:

Step-by-step explanation:

5 0

3 years ago

Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

stealth61 [152]

Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

$\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}$

Substitute the value of x in the given value of GH,

$\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}$

And the total length FH is,

$\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}$

Hence, the lengths are,

$\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}$

8 0

1 year ago

A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea

hjlf

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 $cm^{3}$

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. $2208 = (25-x) \times (140-24x-x^{2})$

i.e. $2208=x^{3}-x^{2}-740x+3500$

i.e. $x^{3}-x^{2}-740x+1292=0$

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

3 0

3 years ago