an illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent the number of female volunteers and y represent the number of male volunteers.

which inequalities model the situation?

select each correct answer.

x+y≤10x+y≤10
y> 0y> 0
x+y< 10x+y< 10
x> 4x> 4
x≥4x≥4
y≥0

All the correct answers are

x + y ≤ 10

y ≥ 0

x ≥ 4

Step-by-step explanation:

the rest are wrong i took the k-12 test lol.

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.

10 b/c 5*2 =10

step-by-step explanation: