Given: a = {(0, 0), (2, 1), (3, 1.5), (4, 2), . .} is a a function and why?

A is a function and  each has image and this image is unique.

Step-by-step explanation:

Her in each ordered pair  the first number is called domain and range is formed second element of each ordered pair.

A  relation is said to be function if for each element  has image and this image is unique

Here we can see that each element  has image ( because of ordered pair)

and this image is unique for each number.

more over  ,we can see that second number is half of first one. and we know that half of a number is unique .

So its a function

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm