Answer:
the submarine is 92.994 feet ≈ 93 feet deep from the surface of the water
Step-by-step explanation:
We can think in a triangle where the hypotenuse is the detection distance and the angle with the horizontal surface of water is the depression angle, then the underwater distance is the vertical side of the triangle.
If we denote Ф as the angle of depression ,d as the detection distance and x as the unknown depth of the submarine, using trigonometry:
x = d* sin Ф
thus
x= d * sin Ф = 238 feet * sin 23° = 92.994 feet ≈ 93 feet
Answer:
Rounded to the nearest hungered is 5,836,200
The relationship between radius (r), angle (θ), and arc length (s) is given by
.. s = r*θ . . . . . . . . θ in radians
.. s = (5 cm)*(210π/180)
.. s = 35π/6 cm
.. s ≈ 18.33 cm
I assume the carpet has the shape of a rectangle.
Let L = length
Let W = width
The area is 192 ft^2.
LW = 192
The perimeter is 56 ft.
2L + 2W = 56
We have a system of 2 equation in 2 unknowns.
LW = 1922L + 2W = 56
Divide the second equation by 2:
L + W = 28
Subtract W from both sides.
L = 28 - W
Substitute 28 - W for L in the first equation.
LW = 192
(28 - W)W = 192
28W - W^2 = 192
W^2 - 28W + 192 = 0
(W - 12)(W - 16) = 0
W - 12 = 0 or W - 16 = 0
W = 12 or W = 16
L = 28 - W
For W = 12: L = 28 - 12 = 16
For W = 16" L = 28 - 16 = 12
We get: length = 16 and width = 12
or: length = 12 and width = 16
Either answer is correct, but since people think the length is longer than the width, answer with a longer length than the width.
Answer: Length = 16 ft Width = 12 ft
Answer:
5
Step-by-step explanation:
N + 4 = 9
N = 9 - 4 = 5
