During a typical evening in Seattle, Pagliacci receives phone orders for pizza delivery at a constant rate: 18 orders in a typical 4 minute period. How many pies are sold in 4 hours? Assume Pagliacci starts taking or-
ders at 5:00 pm and the profit is a constant rate of $11 on 10 orders. When will phone order
profit exceed $1,000?

1080 pies are sold in 4 hours

Profits will exceed $1,000 at 8:22pm

Step-by-step explanation:

First find how many 4 minute periods are in 4 hours.

240 minutes in 4 hours so divide by 4

240/4 =60

Now multiply by 18 to find total orders.

60x18

1080 order in 4 hours

Divide by 18/4 to find order per min

18/4= 4.5

Now if there is an $11 profit for 10 orders then the profit is 1.1 times the order so now you divide 1000 by 1.1.

1000/1.1=909.09

divide by 4.5

909.09/4.5=202

202 minutes=3 hours and 22 minutes

Profits will exceed $1,000 at 8:22pm

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47