The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can be modeled by the quadratic function f(x) = - 4. 162x2 + 71.75x + 97.43, where x = 0 represents January 1, 2000, x = 1 represents January 1, 2001, and so on, and f(x) is in billions of dollars. According to the model, in what year during this period was the amount spent on clothing and footwear a maximum? In the years billion was spent on clothing and footwear. (Round the final answer for the amount spent to the nearest whole number as needed. Round all intermediate values to the nearest tenth as needed.)

Too many problems :

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.

⊂⊃⊂⊃ω

step-by-step explanation:

i hope this : )