Pressure and Volume are inversely related as:

We can also write it as:

R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31
The correct answer here is that the sum has to be 84. This is due to the
fact that 30 + 54 is 84, and the greatest common factor is 6 because
the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3,
6, 9, 18, 27, and 54, so from this we can see that 6 is the great
common factor.
Answer:



Step-by-step explanation:
Given 
(A) 
We know that Sin(A + B) = SinA cosB + cosAsinB
Substituting in the above formula we get:


(B) Cos(A + B) = CosAcosB - SinASinB




(C) Tan(A + B) = 
From the above obtained values this can be calculated and the value is
.
Answer:
4
Step-by-step explanation:
3- 3
23 - 3
20 / 5 = 4.
4 x 5 + 3 = 23, so X is 4.
Answer:
r= 0
Step-by-step explanation:
Cancel equal terms on both sides of the equation:
= 3r - 5r = -4r
collect like terms
= -2r = -4r
move variable to left and change its sign
= -2r + 4r = 0
collect like terms
= 2r = 0
divide both sides of the equation by 2
r=0