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Aleksandr [31]
3 years ago
14

Answers are A:4 square root 5 B:16 C:6 D:8 square root 5

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

\large\boxed{A:\ 4\sqrt5}

Step-by-step explanation:

<em>Look at the picture.</em>

ΔABC and ΔADB are similar. The corresponding angles are in proportion:

\dfrac{AB}{AC}=\dfrac{AD}{AB}

We have:

AB=x,\ AC=5+11=16,\ AD=5

Substitute:

\dfrac{x}{16}=\dfrac{5}{x}                 <em>cross multiply</em>

x^2=(16)(5)\to x=\sqrt{(16)(5)}         <em>use √ab = √a · √b</em>

x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5

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Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

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3 years ago
Which tables could be used to verify that the functions they represent are inverses of each other? Select two
devlian [24]
<h3>Answers:  C and D</h3>

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Among the choices provided the answer should be letter C. Below is the solution:

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