Answer:
x = 135
Step-by-step explanation:
Use the right triangle altitude theorem and similar triangles.
x/81 = 225/x
x^2 = 81 * 225
x = 9 * 15
x = 135
The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
<h3>Solving equations</h3>
From the question, we are to determine the approximate solution to the given equation,
The given equation is
![4lnx -8 =12](https://tex.z-dn.net/?f=4lnx%20-8%20%3D12)
First, add 8 to both sides
![4lnx -8+8 =12+8](https://tex.z-dn.net/?f=4lnx%20-8%2B8%20%3D12%2B8)
![4lnx =20](https://tex.z-dn.net/?f=4lnx%20%3D20)
Now, divide both sides by 4
![ln x =\frac{20}{4}](https://tex.z-dn.net/?f=ln%20x%20%3D%5Cfrac%7B20%7D%7B4%7D)
![ln x = 5](https://tex.z-dn.net/?f=ln%20x%20%3D%205)
Take the exponents of both sides
![e^{lnx} = e^{5}](https://tex.z-dn.net/?f=e%5E%7Blnx%7D%20%3D%20e%5E%7B5%7D)
x = 148.413
x ≅ 148.4
Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
Learn more on Solving equations here: brainly.com/question/26831160
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Answer:
c
Step-by-step explanation:
A terminating decimal has digits that end. They do not go on forever. For example, 0.125 has only 3 decimal digits and does not keep on going like 1/3
A rational number is a number that canbe expressed as p/q where p and q are both integers. But q cannot equal to 0.
All terminating decimals are rational numbers, but not all rational numbers are terminating decimals. For example 1/4, which equals to 0.25 is both a rational number and a terminating decimal. On the other hand, 1/3 is a rational number but is not a terminating decimal.
Answer:
same,different
Step-by-step explanation: