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nydimaria [60]
3 years ago
8

EASY QUICK POINTS!!!! Find the altitude of an equilateral triangle if each side of the triangle has the length of 6 meters!!!

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

5.20  to the nearest hundredth.

Step-by-step explanation:

The altitude line bisects the base of the triangle to form 2 right  angled triangles with hypotenuse = 6 and the base = 3.

So,  by the Pythagoras theorem the altitude is  calculated as follows:

6^2 = 3^2 + x^2

x^2 = 36 - 9 = 27

x = √27

= 5.20  to the nearest hundredth.

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Answer:

\large\boxed{32\ is\ 90\%\ of\ 35\dfrac{5}{9}}

Step-by-step explanation:

<h3>METHOD 1:</h3>

\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=\dfrac{3200}{90}\\\\x=\dfrac{320}{9}\\\\x=35\dfrac{5}{9}

<h3>METHOD 2:</h3>

\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}

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ddd [48]

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Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 2 x - 15 = 0

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