Ms. Waller receives orders for posy bouquets and cascade bouquets. It usually takes her 15 minutes to make one posy bouquet and 20 minutes to make one cascade bouquet. For today's orders, each posy bouquet must have 12 stems and each cascade bouquet must have 6 stems. Ms. Waller has no more than 300 minutes to make the bouquets, and she can procure no more than 180 stems in all. Ms. Waller makes a profit of $10 on each posy bouquet and $7 on each cascade bouquet. How many posy bouquets and cascade bouquets should she deliver to maximize her profit? A. Ms. Waller should make 15 posy bouquets and 0 cascade bouquets to maximize her profit. B. Ms. Waller should make 12 posy bouquets and 6 cascade bouquets to maximize her profit. C. Ms. Waller should make 0 posy bouquets and 15 cascade bouquets to maximize her profit. D. Ms. Waller should make 6 posy bouquets and 12 cascade bouquets to maximize her profit.

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.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

well what you have to do is divide 84 by 6 so theanswer

step-by-step explanation:

84 divided by 6 = 14

and that lightbulb changing party must be freaking lit!

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: