2. Find the percentage change from the first quantity to the second quantity: (i) $75; $90
(ii) 40 cm; 60 cm
(iii) 20 gm; 5 gm

a) 20%

b) 50%

c) -75%

Step-by-step explanation:

Mathematically, percentage change is;

(new value -old value)/old value * 100%

(i) (90-75)/75 * 100%

= 15/75 * 100% = 20%

ii) (60-40)/40 * 100%

= 20/40 * 100% = 50%

iii) (5-20)/20 * 100% = -15/20 * 100% = -75%

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.

answer: 7

step-by-step explanation: