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Gekata [30.6K]
3 years ago
8

LAST ONE!! (:

Mathematics
1 answer:
joja [24]3 years ago
4 0
First you find how much the shape has dilated. To d ok that you divide the size of the size already given to you from the bigger shape from the same did if the smaller shape. So 58÷6=9.7. The shape grew by 9.7. To find x you use the similar side of the other shape again and multiy that size by 9.7. So 9.7×3=29.1

x=29.1
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saul85 [17]

\large\underline{\sf{Solution-}}

<u>Let us assume that:</u>

\sf \longmapsto x =  \sqrt{6 +  \sqrt{6 +  \sqrt{6 + ... \infty } } }

We can also write it as:

\sf \longmapsto x =  \sqrt{6 +  x }

Squaring both sides, we get:

\sf \longmapsto  {x}^{2}  =6 +  x

\sf \longmapsto  {x}^{2} - x - 6  =0

By splitting the middle term:

\sf \longmapsto  {x}^{2} - 3x + 2x - 6  =0

\sf \longmapsto x(x - 3) + 2(x - 3 ) =0

\sf \longmapsto (x+ 2)(x - 3 ) =0

<u>Therefore:</u>

\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}

\sf \longmapsto x =  - 2,3

<u>But x cannot be negative. </u>

\sf \longmapsto x = 3

Therefore, the value of the expression is 3.

\large\underline{\sf{Verification-}}

Given:

\sf\longmapsto x=3

We can also write it as:

\sf\longmapsto x = \sqrt{9}

\sf\longmapsto x = \sqrt{6+3}

\sf\longmapsto x = \sqrt{6 + \sqrt{9}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}

This pattern will continue.

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}

7 0
2 years ago
Simplify 3 sqrt 5x * 3 sqrt 25x^ 2 completely.​
tia_tia [17]

Answer:

=45x√5x

Step-by-step explanation:

The provided expression is: 3√5x×3√25x²

We can simplify 3√25x² because √25x²=5x

3×5x=15x

Combine with the rest of the expression through multiplication.

3√5x×15x

=45x√5x

The expression 3√5x×3√25x² is equivalent to 45x√5x.

The expected simplified answer is 45x√5x

8 1
3 years ago
Read 2 more answers
I will give brainliest&lt;3
andre [41]
The first part of the question is $2280.00

I multiplied 38,000 by .06
7 0
2 years ago
What is arcsin(cos3/5)<br><br> Giving brainliest please help
quester [9]

Answer:

(cos(3°) / 5) = 0.201078184 radians

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
6 + x is an example of _____. a formula a constant a variable an expression
PtichkaEL [24]

Answer:

it is an example of an expression

Step-by-step explanation:

it is an example of an expression because it is asking a question without an equal sign. so its not a question, but an expression

5 0
3 years ago
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