One fourth of the students in mrs. bennett's class have blue eyes. two eighths of the students have green eyes. does the class have an equal number of students with blue and green eyes.

yes

no

Yes

Step-by-step explanation: 2/8 is eq equivalent to 1/4 when reduced to the lowest term(i.e form)

Yes, this is because 2/8 is equivalent to one fourth, this is because eighths are fourths cut in half, so, you only need two of them to make a one right.

Hope this helps, if not, comment below please!!!

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.

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