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garri49 [273]
3 years ago
10

PLEASE HELP!! within the interval notation of [-3,-2) the function below is…

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer: increasing

Step-by-step explanation: The slope of the graph is positive.

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Guyss please help me with this question. I tried a thousand times but it's still incorrect.
Shalnov [3]

Answer: 17.68cm

Step-by-step explanation:

Using the area formula of a cone, find the height first.

A=\pi r(r+\sqrt{h^2+r^2})

Solve for h,

Begin by dividing by \pi r

\frac{A}{\pi r}=r+\sqrt{h^2+r^2}

Subtract r.

\frac{A}{\pi r}-r=\sqrt{h^2+r^2}

Square both sides.

(\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2

(\frac{A}{\pi r}-r)^2=h^2+r^2

Subtract r^2

(\frac{A}{\pi r}-r)^2-r^2=h^2

Extract the square root.

\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}

\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h

Plug in your values.

\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h

Solve;

\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h

\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h

\sqrt{(18.67cm)^2-(8cm)^2 } =h

\sqrt{348.57cm^2-64cm^2}=h

\sqrt{284.57cm^2}=h

15.77cm=h

------------------------------------------------------------------

Now, to find the slant height use this formula: l=\sqrt{h^2+r^2}

l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm

8 0
3 years ago
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