The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2
we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2
lets expand:
144 = x^2 + 225 - 30y + y^2
substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m
substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence
Answer:
999 ft
Step-by-step explanation:
In the picture attached, the drawn of the situation is shown
<u>Data</u>
- distance from balloon A to the ground is 1,200 feet
From definition:
tan(∠x) = opposite/adjacent
tan(56°) = 1200/adjacent
adjacent to ∠x = 1200/tan(56°)
adjacent to ∠x = 809.41 ft
tan(∠y) = opposite/adjacent
tan(81°) = 1200/adjacent
adjacent to ∠y = 1200/tan(81°)
adjacent to ∠y = 190.06 ft
The distance from balloon A to balloon B is: 809.41 + 190.06 = 999.47 ≈ 999 ft
The answer is C.................................................
S = R + 3t - 5/2
multiply the r by the 2 and transfer -6t and 5 over to the left side which makes them +6t and -5, then divide the whole left side by 2 which gives you s
Answer:
The exponential function for the US population is:
Step-by-step explanation:
Let be supposed that US population can be modelled by means of the following exponential function:
Where:
- Time, measured in years. Where t = 0 for 1970.
- Initial population, in millions inhabitants.
- Exponential rate constant, in years.
- Population, in millions inhabitants.
Each constant is found hereafter:
A
B
The exponential function for the US population is:
