Answered

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Sagot :

igoroleshko156

Answer:

Option D, $2.71

Step-by-step explanation:

Step 1:  Figure out the height

[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]

[tex]29.16 + b^{2} = 295.84[/tex]

[tex]b^{2} = 266.68[/tex]

[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]

[tex]b = 16.33[/tex]

Step 2:  Figure out the area

[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]

[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]

[tex]A = 454.77[/tex]

Step 3:  Figure out the price

[tex]454.77 * 0.006[/tex]

[tex]2.72862[/tex]

Answer:  Option D, $2.71
Answer is D. 2 dollars and 71 cents .
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