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olganol [36]
3 years ago
5

A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet.

Mathematics
2 answers:
eimsori [14]3 years ago
8 0

Answer:

B. 178.98 ft2

Step-by-step explanation:

Vladimir [108]3 years ago
5 0

Answer:

178.98 ft2

Step-by-step explanation:

we know that

The area of the circular path alone is equal to subtract the area of the circular garden from the area of the complete circle (circular garden plus circular path)

so

A=\pi (r_2^2-r_1^2)

where

r_1=8\ ft ---> radius of circular garden

r_2=8+3=11\ ft ----> radius of the circular garden plus radius circular path

substitute

A=3.14 (11^2-8^2)=178.98\ ft^2

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enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

7 0
2 years ago
Read 2 more answers
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