Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
monthly revenue:
profit function:
i) remove the first bracket
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
iii) collect like terms
iv) simply the like terms
The distances from the point the plane leaves the ground are given by the
trigonometric relationships of right triangle and Pythagoras theorem.
Reasons:
A) The angle with which the airplane climbs, θ = 11°
Height of the tower which the airplane flies, T = 120 foot
The clearance between the tower and the airplane, C = 50 feet
Required:
The minimum distance between the point where the plane leaves the ground and the base of the tower,
Solution:
Height at which the plane flies over the tower, h = T + C
Therefore, h = 120 ft. + 50 ft. = 170 ft.
At the point the plane leaves the ground, we have;
Which gives;
B) The minimum distance between the point where the plane leaves the ground and the tower, <em>R</em>, is given by Pythagoras's theorem as follows;
R² = ² + T²
Which gives;
R = √(*874.57 ft.)² + (120 ft.²)) ≈ 882.76 ft.
Learn more about Pythagoras theorem here: