The volume of gas in a container at a constant temperature varies inversely with the pressure. If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters,

p=32/15 pounds

Step-by-step explanation:

Step 1: Write the correct equation. Inverse variation problems are solved using the equation y=k/x. In this case, you should use v and p instead of x and y. y=k/x---> v=k/p  

Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when v = 32 and p = 4.32=k/4 128=k

Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2.v=128/p  

Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find p when v = 60.  

60=128/p    60p=128           p=32/15 pounds

(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

step-by-step explanation: