Answer:
Volume = 90 cm³
Step-by-step explanation:
Given:
The volume 'V' of a fixed amount of gas is directly proportional to the temperature 'T' and inversely proportional to the pressure 'P'.
Initial volume is, 
Initial temperature is, 
Initial pressure is, 
Final temperature is, 
Final pressure is, 
Final volume is, 
As per question:

Therefore,

Or, we can write the above as:

Therefore, the final volume is 90 cm³.
Answer:
Step-by-step explanation:
A: 40
B: 21
Answer: B. 2.5 in
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is the unknown side.
With m∠32 as the reference angle,
the adjacent side of the right angle triangle is 4 in
the opposite side of the right angle triangle is w
To determine w, we would apply
the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan 32 = w/4
w = 4tan32 = 4 × 0.625
w = 2.5 in