<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20%3D%20%20%5Cfrac%7B27%7D%7B64%7D%20" id="TexFormula1" title=" {x}^{3

damaskus [11]

3 years ago

} = \frac{27}{64} " alt=" {x}^{3} = \frac{27}{64} " align="absmiddle" class="latex-formula">
x = __

(solve for x)

Mathematics

1 answer:

Pani-rosa [81]3 years ago

5 0

X= 3/4

Correct answer

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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

Rama09 [41]

Check the picture below.

now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.

$\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=10\\ b=26.695\\ c=22\\ s=29.3475 \end{cases} \\\\\\ A=\sqrt{29.3475(29.3475-10)(29.3475-26.695)(29.3475-22)} \\\\\\ A=\sqrt{29.3475(19.3475)(2.6525)(7.3475)}\implies A\approx \sqrt{11066.007} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 105.195~\hfill$