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Course challenge
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You are buying boxes of cookies at a bakery. Each box of cookies costs $4. In the equation below,
represents the number of boxes of cookies you buy, and d represents the amount the cookies will cost you
(in dollars)
Arithmeti
The relationship between these two variables can be expressed by the following equation:
Negative
d=4c
Properties
Identify the dependent and independent variables.
Course che
Dependent variable
Independent variable
The number of boxes of cookies you buy
The amount the cookies will cost in dollars
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Step-by-step explanation:

D the cost of the boxes is the dependent variable

C the number of cookie boxes is the independent

This is because the cost of the cookies depends the number of cookie boxes you buy

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.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: