It takes Harland 15 minutes to rake all leaves in the front yard. If Trudy scatters the leaves while Harland rakes, it takes him
2 answers:
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The solution to the given equation is .
Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.
We have,
Expression -8(2a - 1) = 36
So,
Now,
To get the solution to this expression,
i.e.
-8(2a - 1) = 36
Rewrite it as,
i.e.
Opening Brackets,
We get,
-16a + 8 = 36
Now,
Taking variable terms on one side and other terms on another side,
We get,
-16a = 36 - 8
On solving we get,
-16a = 28
i.e.
a =
So,
The solution to the given equation is .
Hence, we can say that the solution to the given equation is .
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Answer:
1. The distance of the ship from the base of the lighthouse is approximately 1.24 miles
2. a)The horizontal distance the plane must start descending is approximately 190.81 km
b) The angle the plane's path will make with the horizontal is approximately 18.835°
3. The depth of the submarine is approximately 107.51 m
Step-by-step explanation:
The
1. From the question, we have;
The height of the observer above the water = 80 ft.
The angle of depression of the ship from the observer, θ = 0.7°
Let the position of the observer be 'O', let the location of the ship be 'S', let the point directly above the ship at the level of the observer be 'H', we have;
HS = The height of the observer = 80 ft.
Therefore, we get;
The distance of the ship from the base of the lighthouse ≈ 6,547.763 ft. ≈ 1.24 miles
2. The elevation of the plane, h = 10 km
The angle of the planes path with the ground, θ = 3°
Similar to question (1) above, the horizontal distance the plane must start descending, d = t/(tan(θ))
∴ d = 10 km/(tan(3°)) ≈ 190.81 km
The horizontal distance the plane must start descending, d = 190.81 km
b) If the pilot start descending 300 km from the airport, the angle the plane's path will make with the horizontal, θ, will be given as follows;
From trigonometry, we have;
Where the opposite leg length = The elevation of the plane = 10 km
The adjacent leg length = The horizontal distance from the airport = 300 km
The angle the plane's path will make with the horizontal, θ ≈ 18.835°
3. The angle at which the submarine makes the deep dive, θ = 21°
The distance the submarine travels along the inclined downward path, R = 300 m
By trigonometric ratios, we have;
The depth, of the submarine, 'd' is given as follows;
∴ d = R × sin(θ)
d = 300 m × sin(21°) ≈ 107.51 m
The depth of the submarine ≈ 107.51 m