The standard diameter of a golf ball is 42.67 mm. a golf ball factory does quality control on the golf balls it manufactures. golf balls are randomly measured to ensure the correct size. if the discrepancy in diameter is more than 0.004 mm, the production is stopped. which function could represent this situation?f(x)=|42.67-x| what are the acceptable diameters for the golf balls? choose all that apply a) 42.675 mm b) 42.6668 mm c) 42.664 mm d) 42.673 mm e) 72.676 mm

Which function could represent this situation?

B. f(x) = 42.67 - x

What are the acceptable diameters for the golf balls?

B. 42.6668 mm

D. 42.673 mm

b      part b is b and d

Step-by-step explanation:

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.