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Free_Kalibri [48]
3 years ago
11

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. T

he inner edge of the sidewalk is a circle with a radius of 8 m.
Write and simplify an expression for the exact area of the sidewalk.

Find the approximate area of the sidewalk. Use 3.14 to approximate π.

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m

The equation would be:

144 x 3.14 - 64 x 3.14 = 251.2

Step-by-step explanation:

First, you need to find out what the whole circle is:

The whole circle is 452.16

Then, find the inner circle :

8 x 8 x 3.14  

200.96

Last, subtract the whole by the inner:

452.16 - 200.96 = 251.2

hope this helps!

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IF SOMEONE COULD HELP WITH THIS IT WOULD BE MUCH APPRECIATED!
julsineya [31]

Answer:

48 Units

Step-by-step explanation:

Use the Pythagorean theorem to make two right triangles.

Ex= Base is cut in half to make two 9 unit bases

Then count the units from the half point.

Ex= 12 units long

Then use Pythagorean theorem to find one side of the 9-12 right triangle

Ex= 9^2+12^2=c^2

After finding that c=15 units, add all the sides back together

Ex= 18+15+15=48

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3 years ago
What's the surface area ratio &amp; the volume ratio??<br><br> please help me ASAP!!
Ulleksa [173]

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = \frac{r_1}{r_2} [r_1 and r_2 are the radii of two circles]

2). Area scale factor = \frac{(r_1)^2}{(r_2)^2}

3). Volume scale factor = \frac{(r_1)^3}{(r_2)^3}

Volume scale factor Or Volume ratio = \frac{V_A}{V_B}

                         \frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}

                         \frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }

                         \frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}

                        \frac{r_1}{r_2}=\frac{6}{7}

Therefore, scale factor = \frac{r_1}{r_2}=\frac{6}{7}

                                      ≈ 6 : 7

Area scale factor Or area ratio = (\frac{r_1}{r_2})^2=(\frac{6}{7})^2

                                                   = \frac{36}{49}

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = \frac{648}{1029}

                                                             = \frac{216}{343}

                                                             ≈ 216 : 343

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