The loudness, l, measured in decibels (db), of a sound intensity, i, measured in watts per square meter, is defined as l = 10 log startfraction i over i 0 endfraction, where i 0 = 10 superscript negative 12 and is the least intense sound a human ear can hear. brandon is trying to take a nap, and he can barely hear his neighbor mowing the lawn. the sound intensity level that brandon can hear is 10-10. ahmad, brandon’s neighbor that lives across the street, is mowing the lawn, and the sound intensity level of the mower is 10-4. how does brandon’s sound intensity level compare to ahmad’s mower?
brandon’s sound intensity is one-fourth the level of ahmad’s mower.
brandon’s sound intensity is one-fourth the level of ahmad’s mower.
brandon’s sound intensity is 20 times the level of ahmad’s mower.
brandon’s sound intensity is 80 times the level of ahmad’s mower.

Brandon’s sound intensity is One-fourth the level of Ahmad’s mower

Step-by-step explanation:

Data

The sound intensity level that Brandon can hear is 10^(-10)

Ahmad’s mower sound intensity level is 10^(-4).

L = 10*log(I/10^(-12))

where L is loudness in decibels and I is sound intensity in watts per square meter.

The loudness that Brandon can hear:

L = 10*log(10^(-10) /10^(-12))  = 10*log(2) = 20

Ahmad’s mower loudness:

L = 10*log(10^(-4) /10^(-12))  = 10*log(8) = 80

One-fourth the level of Ahmad’s mower is 80*(1/4) = 20 which is equal to Brandon’s sound intensity

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc