Answer:
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We are given area of the spherical lampshade = 57.76 \pi square inches.
We know formula of area of a spherical shape:

Plugging area A= 57.76 π in formula, we get

Dividing both sides by 4π, we get


Taking square root on both sides, we get

r =3.8.
<h3>Therefore, the radius of the lampshade is 3.8 inches.</h3>
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Answer: y = -2x + 8
Step-by-step explanation:
To find the equation of the line , we will use the formula:
= 
From the question
= 1
= 3
= 6
= 2
substituting into the formula , we have
= 
= 
cross multiplying , we have
2(y-6) = -4(x-1)
Expanding , we have
2y - 12 = -4x + 4
Adding 12 to both sides , we have
2y = -4x + 16
dividing through by 2 , we have
y = -2x + 8
Therefore , the equation of the line is given as
y = -2x + 8