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Romashka [77]
2 years ago
14

What is the best first step in solving the equation 3 +

" title="3\sqrt[6]{x}" alt="3\sqrt[6]{x}" align="absmiddle" class="latex-formula"> = 5?
Mathematics
1 answer:
Andreas93 [3]2 years ago
6 0

3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}

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navik [9.2K]

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\sqrt{2} m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\sqrt{2})^2 + ( 3\sqrt{2})^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

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3 years ago
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Leviafan [203]

Answer:

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Step-by-step explanation:

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Dominics son is 45inches tall

<u>Step-by-step explanation:</u>

Let his sons height be 'h'

If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.

Then We can say that,

h = 50 x (72/60)

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