What is x? 1. 2.7( 5.1x + 4.9) = 3.2x + 28.9 2. 5(11x - 18) = 3(2x + 7)

Mathematics

2 answers:

Sati [7]2 years ago

8 0

Answer:

1. 2.7( 5.1x + 4.9) = 3.2x + 28.9

X= 1.48

2. 5(11x - 18) = 3(2x + 7)

X= 2.26

tatyana61 [14]2 years ago

6 0

Answer:

1. x≈1.4825

2. x≈2.26531

Step-by-step explanation:

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Find the surface area of the solid. Round to two decimal places

Ne4ueva [31]

Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b$

so then the surface area of the triangular prism is,

$\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672}) \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978$