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sergeinik [125]
3 years ago
12

A spring is attatched at one end to support B and at the other end to collar A, as represented in the figure. Collar A slides al

ong the vertical bar between points C and D.
Part A when 0 = 28 degrees, what is the distance from point A to point B to the nearest tenth of a foot?

Part B When the spring is stretched and the distanced from point A to point B is 5.2 feet, what is the valuue of 0 to the nearest tenth of a degree?

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0

Step-by-step explanation:

cos θ = 3 / AB

When θ = 28°:

cos 28° = 3 / AB

AB = 3 / cos 28°

AB ≈ 3.4

When AB = 5.2:

cos θ = 3 / 5.2

θ = cos⁻¹(3 / 5.2)

θ ≈ 54.8°

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Answer: The height is 6.07 meters

Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;

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3 years ago
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Nimfa-mama [501]

Answer:

(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- We can add and subtract two function by adding and subtracting their

 like terms

Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then

     (f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x

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* Lets solve the problem

∵ f(x) = 12x² + 7x + 2

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∴ (f + g)(x) = 12x² + 16x + 9

* (f + g)(x) = 12x² + 16x + 9

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