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Rom4ik [11]
3 years ago
8

Identify the volume of a sphere with surface area 144π m2. Give your answer in terms of π.

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

\bf \textit{surface area of a sphere}\\\\ SA = 4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} SA=144\pi \end{cases}\implies 144\pi =4\pi r^2\implies \cfrac{144\pi }{4\pi }=r^2 \\\\\\ 36=r^2\implies \sqrt{36}=r\implies \underline{6}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi (\underline{6})^3}{3}\implies V=288\pi

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KatRina [158]

Answer:

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Step-by-step explanation:

y=kx, where k is constant

3y, 1x...so 3y = 1x

check: looking at the graph at 4.5y, 1.5x where y and x intersect...

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3 0
3 years ago
Please help!! I’m stuck on this
beks73 [17]

Answer:

B.  x = -4\,\lor \,x = -1

Step-by-step explanation:

Let \sqrt{-4-5\cdot x} = x, we solve for x by algebraic means.

1) \sqrt{-4-5\cdot x} = x Given

2) -4-5\cdot x = x^{2} Definition of power/Symmetry of equality

3) x^{2}+5\cdot x + 4 = 0 Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) (x+4)\cdot (x+1) = 0         x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)

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7 0
3 years ago
For questions 1 and 2 graph the exponential function:<br> 1. y=3^x<br> 2. y=2(4.5)^x
Mumz [18]
First, we should know exponential formula, for example exp (LnA) =A, for all A>0, and as for logarythm, LnA^p=pLnA, for all A>0, and for all value of p
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the same method with y=2(4.5)^x, we find y=exp[Ln (2(4.5)^x)]=
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please look the figure 2

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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