Danielle bought a set of mixing bowls yesterday. they originally cost $23. she had a coupon for 5% off and the sales tax rate is 5%.

how much did the mixing bowls cost?

$22.94

Step-by-step explanation:

$23 × 0.05 or 5% = $1.15

$23 - $1.15 = $21.85

$21.85 × 0.05 or 5% (for sales tax) = $1.0925

$21.85 + $1.0925 = $22.94

1/5^2 = 7.56/45

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.