Annie wants to eat an entire donut. However, since she only two-years-old, the mother says she can only have a third of the donut. If the diameter of the donut is 4 inches, how long is the outside edge of
the piece that Annie gets to eat? Round your answer to the nearest hundredth of an inch.

4.19 inches

Step-by-step explanation:

Your goal is to find the circumference of the donut and then divide that by 3 to get 1/3 of the outer edge of the donut.

Circumference is 2r

The diameter (double the radius) is 4, so radius (r) is 2

2 * pi * 2 = 4 pi = 12.57 (round to hundredth)

12.57/3 = 4.19

keep in mind that dividing by 3 is the same as multiplying by 1/3

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.