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Over [174]
3 years ago
10

0%2B%20%20%5Csqrt%7B6%7D%20%2B%20..........%20%20%5C%3A%20to%20%5C%3A%20%20%5Cinfin%20%7D%20%20%7D%20%20%5C%3A%20is%20%5C%3A%20%20%5Cunderline%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20.%7D" id="TexFormula1" title="The \: value \: of \: \sqrt{6 + \sqrt{6 + \sqrt{6} + .......... \: to \: \infin } } \: is \: \underline{ \: \: \: \: \: \: \: \: \: \: \: .}" alt="The \: value \: of \: \sqrt{6 + \sqrt{6 + \sqrt{6} + .......... \: to \: \infin } } \: is \: \underline{ \: \: \: \: \: \: \: \: \: \: \: .}" align="absmiddle" class="latex-formula">
CORRECT EXPLANATION WILL BE MARK AS BRAINLIEST.​
Mathematics
1 answer:
saul85 [17]3 years ago
7 0

\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}}}

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Describe and correct the error in finding the area of a sector with a radius of 6 centimeters and a central angle of 40
Jet001 [13]

Answer:

12.56

Step-by-step explanation:

Remark

Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.

Formula

Area = (central angle divided by 360 ) * pi r^2

Solution

Area = (40 /360) * 3.14 * 6^2

Area = 1/9 * 3.14 * 36

Area = 4 * 3.14

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8 0
2 years ago
Rina is making a nut mixture to sell at the local farmers' market. She mixes 6 pounds of pecans with a nut mixture that is 70% p
Marat540 [252]
So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!

For the final poundage, we need v3:

v3 = 6 + v2 = 6 + 9 = 15 lbs
7 0
3 years ago
If A = 3r^2h^2, and (rh) increases by 100%, then the new A is how many times greater than the old A? PLEASE HELP ME!!! (Specify
Maslowich

Answer: the answer is 3

Step-by-step explanation:

An increase of 100% in the value of (rh) means the value doubles. When that doubled value is squared, the new area is 4 times the old area.The question asks how many times GREATER the new A is than the old A. 4 times AS LARGE AS is a 300% INCREASE, which is 3 TIMES LARGER THAN.So the grammatically correct answer is 3 

3 0
1 year ago
How many minutes are there in a 40 hours week?
Pavel [41]
60 minutes times 40 hours equals 2400 minutes
4 0
3 years ago
How do u solve to get x?
Vedmedyk [2.9K]

Step-by-step explanation:

2^(2x) - 5(2^x) = -4

(2^x)^2 - 5(2^x) = -4

Substitute 2^x = z --> x = ln(z)/ln(2)

z^2 - 5z = -4

z^2 - 5z + 4 = 0

(z - 1)(z - 4) = 0

z = 1 --> x = ln(1)/ln(2) = 0

z = 4 --> x = ln(4)/ln(2) = 2


4 0
3 years ago
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