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Elenna [48]
3 years ago
12

Someone please help me thank you

Mathematics
2 answers:
V125BC [204]3 years ago
8 0
4 is the answer to the problem
german3 years ago
6 0

Answer:

4

Step-by-step explanation:

7x = x² - 8

=> x² - 7x - 8 = 0

use quadratic formula:

a = 1, b = -7, c = -8

x = \frac{-(1)±\sqrt{(-7)^{2} - 4(1)(-8) } }{2(1)} <em>(pls ignore the "A" I don't know why it's showing up)</em>

=> x = \frac{-1±\sqrt{49 + 32} }{2}

=> x = \frac{-1±9 }{2}

=> x = \frac{-1 +9}{2} = 4 or \frac{-1-9}{2} = -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>

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Stella [2.4K]

Answer:

-\frac{1}{8}

Step-by-step explanation:

\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}

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3 years ago
Can someone please help me and explain?
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Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height
Elena L [17]

The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct

<u>Solution:</u>

Given, Rob is making a tent out of canvas in the shape of a square pyramid.  Each side of the square base is 6 feet long, and the height is 6.3 feet.  

Rob filled the tent with balloons,  

We have to find which measurement BEST describes the amount of balloons in the tent?  

As tent if filled with balloons the amount of balloons equals with volume of tent.

<em><u>Volume of tent is given as:</u></em>

\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}

where "a" is side length and "h" is height.

\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}

Hence, from the given options, approximately, option D is correct.  

6 0
3 years ago
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