The parent function, here is
f(x) = x² which is upward opening parabola.
In order to get a graph of f(x) = x²-1, shift the parent function, f(x) = x² by +1 unit downward. This is the transformation.
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
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We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
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I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
Answer:
I would choose to use the equation with feet per hour. Submarines reach such great depths that I feel this unit of measurements better represents the magnitude of those depths.
Step-by-step explanation:
Answer:
tan(34) = 2 / height
height = 2 / tan(34) = 2.97
volume = pi x r^2 x (h/3)
volume = 3.14 x 2^2 x (2.97/3)
Volume 4/3 x 3.14 x 4 x 2.97 = 12.43 cubic ft
Step-by-step explanation:
Answer:
The angle of elevation of the ramp is 64.60°
Step-by-step explanation:
Given;
length of the ramp, L = 35 ft
distance of the platform to the foot of the ramp, d = 15 ft
The length of the ramp forms the hypotenuse side of this right angled triangle;
The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.
Cos x = adjacent / hypotenuse
Cos x = 15 / 35
Cos x = 0.4286
x = Cos⁻¹ (0.4286)
x = 64.62
x = 64.60°
Therefore, the angle of elevation of the ramp is 64.60°
