3 years ago

Solve the equation. Round the answer to the nearest tenth. 5*6^3n=20

Mathematics

1 answer:

solniwko [45]3 years ago

7 0

Step-by-step explanation:

5×6'3n=20

30'3n=20

3n=20-30

3n/3= -10/3

n= -3

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Solve step by step solution then only i can do it plxx

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<h3>Let's understand the concept:-</h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3>Required Answer:-</h3>

First in triangle ABC

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According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

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$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

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$\longrightarrow$ $\bf b={\sqrt {36}}$

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$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

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$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

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