Answer:
28 - 4x
Step-by-step explanation:
![18 -2 [x + (x - 5)] \\ = 18 - 2 [x + x - 5] \\ = 18 - 2 [2x - 5] \\ = 18 -4x + 10 \\ = 28 - 4x \\](https://tex.z-dn.net/?f=18%20-2%20%5Bx%20%2B%20%28x%20-%205%29%5D%20%20%5C%5C%20%20%3D%2018%20-%202%20%5Bx%20%2B%20x%20-%205%5D%20%20%5C%5C%20%20%3D%2018%20-%202%20%5B2x%20-%205%5D%20%5C%5C%20%20%3D%2018%20-4x%20%20%2B%2010%20%5C%5C%20%20%3D%2028%20-%204x%20%5C%5C%20)
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
Answer:
12 meters to the left, or -12
Step-by-step explanation:
3 meters per second for 4 seconds
Meaning it's 3 x 4
3 x 4 = 12, so therefore it's -12 meters or just 12 meters to the left.