Answer:
Step-by-step explanation:
When C=95,
A = (100*95)/(4*3.14159) = 9500/3.14159 = 3023.94 sq. ft.
Answer:
A = 1.0 L
B = 0.50 atm
C = 0.60 atm
D = 4.0 L
Step-by-step explanation:
According to the Boyle's law, the volume of a gas is inversely proportional to its volume. If we consider an initial state (1) and a final state (2):
P₁ × V₁ = P₂ × V₂
A
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = 3.0 atm × A
A = 1.0 L
B
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = B × 6.0 L
B = 0.50 atm
C
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = C × 5.0 L
C = 0.60 atm
D
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = 0.75 atm × D
D = 4.0 L
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
