Answer:
f(3) = 19
Step-by-step explanation:
Step 1: Define
f(x) = 2x² + 1
x = 3
Step 2: Substitute and Evaluate
f(3) = 2(3)² + 1
f(3) = 2(9) + 1
f(3) = 18 + 1
f(3) = 19
Technically, the volume of the surface would be the surface area, but assuming that's what you're referring to, and that the thickness of the waste basket doesn't add any extra volume/area, this is how you would solve that:
SA=2(wh+lw+lh)
SA=2[3/4(2)+1 1/2(3/4)+1 1/2(2)]
SA=2(1 1/2+1 1/8+3)
SA=2(45/8)
SA=11 1/4 ft
If there is no lid, you would subtract the lw:
SA=2(wh+lh)
SA=2[3/4(2)+1 1/2(2)]
SA=2(1 1/2+3)
SA=2(4 1/2)
SA=9 ft
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Explanation:</h2><h2>
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We know that the volume of a prism is defined by:

Substituting values:


Answer: 20.5
Step-by-step explanation:
From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangle. 9-40-41 is a Pythagorean triplet.
In a right angled triangle, the circumradius is half the hypotenuse.
In the given triangle, the hypotenuse = 41.
Therefore, the circumradius is 41÷2= 20.5 units.
Answer:
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Step-by-step explanation:
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