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eduard
3 years ago
12

A square photograph is printed on a larger rectangular sheet of paper leaving a border around the

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

E. x² + 11x - 42 = 0

Step-by-step explanation:

let the square sides be x

A = bh = (x + 3 + 3)(x + 2 + 3) = 72

(x + 6)(x + 5) = 72

x² + 11x + 30 = 72

x² + 11x - 42 = 0

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3 years ago
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The volume V of a cylinder is computed using the values 8.8m for the diameter and 5.8m for the height. Use the linear approximat
Delvig [45]

Answer:

The maximum error is approximately Ev=24%

Step-by-step explanation:

the volume of the cylinder V is

V= π/4*H*D²

where H= height and D= diameter

the variation of V will be

dV = (∂V/∂H)*dH + (∂V/∂D)*dD

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if we divide by the volume V

dV /V  = (π/4*D²*dH  +π/2*H*D*dD )/( π/4*H*D²) = dH/H + 2*dD/D

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then we can approximate

error in V= Ev= ΔV/V ≈ dV/V

error in H= Eh=ΔH/H ≈ dH/H

error in D= Ed=ΔD/D ≈ dD/D

thus

Ev= Eh + 2*Ed

since Ed=Eh=E=8%

Ev=  Eh + 2*Ed =3*E=3*8%=24%

Ev= 24%

therefore the maximum error is approximately Ev=24%

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