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const2013 [10]
3 years ago
7

(PLEASE ANSWER: TIMED)The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB)=1

0log[1/10], where I &/ the intensity of a given sound and I0 is the threshold of a hearing intensity. What is the intensity, in decibles, [I(dB)], when I=10^8(I0)? Round to the nearest whole number.
(Refer to photo for equations)
A.8
B.9
C.19
D.80

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0

Answer:

D) 80

Step-by-step explanation:

Mrac [35]3 years ago
3 0
For this case we have the following equation:
 l(dB) = 10log( \frac{l}{lo} )
 We must replace the following value in the equation:
 l = 10^8lo
 Substituting we have:
 l(dB) = 10log( \frac{10^8lo}{lo} )
 Simplifying the given expression we have:
 l(dB) = 10log(10^8)
 Then, using logarithm properties in base 10, we can rewrite the expression:
 l(dB) = 10(8)
 Finally, making the product, the result is:
 l(dB) = 80
 Answer:
 
l(dB) = 80
 option 4
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<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is 16 \sqrt{3} units.

As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

Solve for <em>h,</em>

<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

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3 0
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yaroslaw [1]
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