Answer:
y = -2.5x + 5
Step-by-step explanation:
10x + 4y = 20
Subtract 10x from both sides.
4y = -10x + 20
Divide both sides by 4.
y = -2.5x + 5
Let the distance between the tree and the first point (point H) be x and let the height of the tree be h, then:
Also, the distance from the tree to the second point (point L) is x + 60, thus:
From (1) and (2), we have:
From (1):
h = x tan 40° = 132.4 (0.8391) = 111.1 feet.
Therefore, the height of the tree is 111.1 feet
Answer:
X=56 Y=56
Step-by-step explanation:
The original volume of the ballon, with radius r, is given by
V₀ = (4/3)πr³ in²
If the radius increases to (r+5) because of air input, the new volume is
V₁ = (4/3)π (r+5)³ in²
The difference in volume is the amount of air used to inflate the balloon.
The volume of air is
V = V₁ - V₀
= (4/3)π [r³ + 3r²(5) + 3r(5²) + 5³ - r³]
= (4/3)π (15r² + 75r + 125) in³
Answer: (4/3)π (15r² + 75r + 125) in³