Respuesta :

Step-by-step explanation:

everything can be found in the picture

Ver imagen nchangcomfort48

Answers:

(a) [tex]n = 2(r+m)[/tex]

(b) [tex]n = \frac{h^2}{9}[/tex]

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Work Shown:

Part (a)

[tex]\frac{n}{2} - m = r\\\\\frac{n}{2} = r+m\\\\n = 2(r+m)[/tex]

In the second step, I added m to both sides. Afterward, I multiplied both sides by 2 to fully isolate n.

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Part (b)

[tex]3\sqrt{n} = h\\\\\sqrt{n} = \frac{h}{3}\\\\n = \left(\frac{h}{3}\right)^2\\\\n = \frac{h^2}{3^2}\\\\n = \frac{h^2}{9}\\\\[/tex]

First I divided both sides by 3. After that, I squared both sides. The (h/3) squares to (h^2)/9.

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