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 11 m. the inner edge of the sidewalk is a circle with a radius of 9 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

Step-by-step explanation:

We have been given that 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 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

, where r represents radius of the circle.

Therefore, the exact area of the side walk is

To find the approximate area of side walk let us substitute pi equals 3.14.

Therefore, the approximate area of the side walk is .

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

happy to

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