The area of a rectangle is 27 square feet. The length is 6 feet longer than the width.

2 answers:

3 0

The answer is 9 ft because if you subtract 6 from 9 you get 3 then when you multiply 9*3 you get 27 ft. I hoped this helped you!!

ivann1987 [24]3 years ago

3 0

Hello :
x : the width y : The length y<span>>x
xy = 27...(1)
y= x+6...(2)
subst in (1) : x(x+6) = 27
x² +6x -27 =0
</span><span>Δ = 6²-4(1)(-27) =144= 12²
x1= (-6-12)/2 </span>< 0 refused ( x>0 )
x2= (-6+12)/2 =3
in (2) : y = 3+6 = 9
The length is : 9 feet
the width is : 3 feet

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#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.

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