The volume of the composite figure is 3532.5 cubic inches
<h3>How to determine the volume of the composite figure?</h3>
From the given figure, we have the following dimensions:
- Height, h = 15 inches
- Radius of small cylinder, r = 5 inches
- Radius of large cylinder, R = 10 inches
The volume of a cylinder is
V = πr^2h
So, the volume of the composite figure is
V = πR^2h - πr^2h
Substitute the known values in the above equation
V = 3.14 * 10^2 * 15 - 3.14 * 5^2 * 15
Evaluate the product
V = 3532.5
Hence, the volume of the composite figure is 3532.5 cubic inches
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<span>divide both sides of the equation by 2 to get:
(x + 1/4)^2 = -7/16 ***** this is your solution.
continue further to solve for x if you care to, but the problem did not require you to do this.
take the square root of both sides of the equation to get:
x + 1/4 = plus or minus sqrt(-7/16)
subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16).
since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes:
x = -1/4 plus or minus sqrt(7/16) * i.
your problem was to convert it to the form of (x + p)2 = q.
the solution to that is:
</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get:
2x^2 + x = -1
factor out a 2 on the left side of the equation to get:
2 * (x^2 + x/2) = -1
complete the squares on x^2 + x/2 to get:
2 * ((x+1/4)^2 - (1/16)) = -1
simplify by distibuting the multiplication to get:
2 * (x+1/4)^2 - 2*(1/16) = -1
simplify further to get:
2 * (x+1/4)^2 - 1/8 = -1
add 1/8 to both sides of the equation to get:
2 * (x + 1/4)^2 = -7/8 .
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Answer:
Step-by-step explanation:
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Which compound inequality has a solution set of Ø (no solution)?
Answer:
Hope this Helps!!
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