Answer:
40
Step-by-step explanation:
The length of the altitude of the equilateral triangle is 9 units.
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Use the sin angle ratio and calculate,
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2 x a = 6√3 x √3
2a = 6 x √(3 x 3)
2a = 6 x 3
a = 6 x 3/2
a = 3 x 3 = 9
Therefore, the length of the altitude of the equilateral triangle is 9 units.
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Profit = Revenue – Cost
To reach a point of breakeven, Profit = 0.
Therefore,
Revenue = Cost
7x + 2 = 3x + 3
x = ¼
therefore the farm must produce at least ¼ tons of rice so that there will be no loss.
Answer:
1: 3 miles
2: 1 mile
Step-by-step explanation: