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3 years ago

QUESTION 2

Mathematics

1 answer:

Rasek [7]3 years ago

6 0

Answer:

0.3

Step-by-step explanation:

3/10 equals 0.3. Hope this helps :)

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What is the value of arc x if the<br> central angle is 140°?<br> 140

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Find the value of <img src="https://tex.z-dn.net/?f=%246%2B%5Cfrac%7B1%7D%7B2%2B%5Cfrac%7B1%7D%7B6%2B%5Cfrac%7B1%7D%7B2%2B%5Cfra

Paul [167]

Let

$x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}$

Then

$x = 6 + \dfrac1{2 + \dfrac1x}$

and solving for x gives

$x = 6 + \dfrac x{2x + 1}$

$x = \dfrac{13x + 6}{2x + 1}$

$x(2x+1) = 13x + 6$

$2x^2 + x = 13x + 6$

$2x^2 - 12x - 6 = 0$

$x^2 - 6x - 3 = 0$

By the quadratic formula,

$x = 3 \pm 2\sqrt{3}$

but x must be a positive number, so only the positive square root solution is valid.

$x = 3 + 2\sqrt{3}$

We identify a = c = 3 and b = 2, so a + b + c = 8.

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2 years ago

What is the value of y?<br> log^464 = y<br> OA. 16<br> OB. 8<br> OC. 3<br> OD. 4

Paraphin [41]

The value of y in the given logarithmic equation is 3. The correct option is C. 3

<h3>Evaluating Logarithmic equation </h3>

From the question, we are to determine the value of y in the given logarithmic equation

The given equation is

$log_{4}64=y$

By applying one of the laws of logarithm, we get

$64 = 4^{y}$

Now, express 64 in index form,

$4^{3} = 4^{y}$

Since the bases are equal, we can equal the powers to get

3 = y

∴ y = 3

Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3

Learn more on Logarithmic equations here: brainly.com/question/237323

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