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Talja [164]
3 years ago
6

Help!!!!! please!!!!!

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

The answer is option b.

<h2>144π</h2>

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

diameter = radius / 2

<h3><u>For Big </u><u>sph</u><u>ere</u></h3>

radius = 15 / 2 = 7.5in

Surface area = 4π(7.5)²

= 225π

<h3><u>Small </u><u>sph</u><u>ere</u></h3>

radius = 9/2 = 4.5in

Surface area = 4π(4.5)²

= 81π

Difference of the surface areas is

Surface area of big sphere - surface area of small sphere

Which is

225π - 81π

<h3>= 144π</h3>

Hope this helps you.

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Answer:

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Step-by-step explanation:

For an equation of this sort, my first step is to rewrite it so the solutions are the x-intercepts of the graph:

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The graph is attached. The one real solution is x=4.

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The solution method for something like this is necessarily ad hoc. Here, it appears that progress can be made by raising both sides of the equation to the 2/3 power:

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The solution is x = 4.

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<em>Additional comment</em>

You can eliminate the x=-1 "solution" by considering the domains of the left- and right-side expressions. The 3/2 power is equivalent to the square root of the cube. That will generally only be defined for non-negative values (x ≥ -5). The cube on the right will only be positive for x > 1, so the practical domain of this equation is x ≥ 1.

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