Mathematics, 20.12.2019 10:31 v4leriaaa

Sound waves can be ranked by their intensity, i, given in the formula below, where r is the distance from the source of a sound with a power output of p.

p=4πir²

solve the formula for the distance from the source, r.

a:

b:

c:

d:

Answers: 3

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Answer from: Garrell

D: r=1/2 sqrt(P/πI)

Step-by-step explanation:

P=4πIr²

We want to solve the equation for r

First divide each side of the equation by 4πI

P/4πI =4πIr²/4πI

P/4πI =r²

Then we need to take the square root of each side. Normally we would take the ± square root, but distance cannot be negative.

sqrt(P/4πI) = sqrt(r²)

sqrt(P/4πI) = r

Notice that there is a 4 in the denominator. sqrt(4) = 2

sqrt(P/πI)* 1/sqrt(4) = r

sqrt(P/πI)* 1/2 = r

1/2 sqrt(P/πI) = r

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

-by-step explanation:

it would be c

Pls only fo the first one i will mark brainliest

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Sound waves can be ranked by their intensity, i, given in the formula below, where r is the distance...

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