Question

Please help!

Answer 1

#1) A
#2) E
#3) C
#4) 0.5840
#5) 0.6945
#6) 0.4911
#7) D
#8) G
#9) 0.4375
#10) 0.5203

The formula we use for this is
$v_w=f\lambda$,
where $v_w$ is the speed of sound, f is the frequency (or pitch) of the note, and λ is the wavelength.

#1) 0.77955f = 343

Divide both sides by 0.77955:
0.77955f/0.77955 = 343/0.77955
f = 439.997 ≈ 440. This is the pitch for A.

#2) 0.52028f = 343
Divide both sides by 0.52028, and we get f = 659.260.  This is the pitch for E.

#3) 0.65552f = 343
Divide both sides by 0.65552, and we get f = 523.25.   This is the pitch for C.

#4) 587.33λ = 343
Divide both sides by 587.33 and we get λ = 0.583999 ≈ 0.5840.

#5) 493.88λ = 343
Divide both sides by 493.88, and we get λ = 0.6945.

#6) 698.46λ = 343
Divide both sides by 698.46 and we get λ = 0.49108 ≈ 0.4911.

#7) 0.5840f = 343
Divide both sides by 0.5840 and we get f = 587.3288 ≈ 587.33.  This is the pitch for D.

#8) 0.4375f = 343
Divide both sides by 0.4375 and we get f = 784. This is the pitch for G.

#9) 783.99λ = 343
Divide both sides by 783.99 and we get λ = 0.4375.

#10) 659.26λ = 343
Divide both sides by 659.26 and we get λ = 0.52028 ≈ 0.5203.