9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
Answer:
2√58
Step-by-step explanation:
I believe the answer is 2√58.
Answer:
37.5
Step-by-step explanation:
Let the length of the shorter piece be x and the longer piece be 5x.
Short piece + Long piece = 285 inches
x + 5x = 225
6x = 225
x = 225 ÷ 6
x = 37.5
The equation set up is:
0.5x² - 40x + 15300 = 0
Cost, C(x) = 35x + 300
Revenue, R(x) = 75x - 0.5x²
Profit, P(x) = 15000
Profit = Revenue - Cost
P(x) = R(x) - C(x)
15000 = 75x - 0.5x² - (35x + 300)
15000 = -0.5x² + 40x - 300
0.5x² - 40x + 15000 + 300 = 0
The quadratic equation to get the number of items sold is shown below:
0.5x² - 40x + 15300 = 0
Learn more here: brainly.com/question/15314537
