18 - 2(h) = x
He has 18 gallons to start with. Then he loses 2 gallons every hour he is driving. So you would times the two and subtract it from what he has.
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
Graphing the inequalities
y ≥ 0 are the points above the x-axis including the points along the x-axis
y < x are the points below the line y = x
x + y < 6 are the points below the line x + y = 6
The solution to this is the region bounded by the lines connecting the points
(0, 0)
(0, 6)
(3, 3)
Answer:
caca water
Step-by-step explanation: