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3 years ago

Evaluate cosπ/11+cos3π/11+cos5π/11+cos7π/11+cos9π/11

2 answers:

6 0

The cosine repeats every 2pi, so the terms of the expression are all equal, and you have 5 cos(pi/11), which totals up to about 4.797 .

alexandr402 [8]3 years ago

4 0

Using a calculator, the answer will be 1/2 as a result of all the / and use of opposite πs that form 18 making a whole circle.

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â/8.37 points scalcet8 12.2.037. ask your teacher my notes question part points submissions used a block-and-tackle pulley hoist

AnnyKZ [126]

Refer to the diagram shown below.

The hoist is in static equilibrium supported by tensions in the two ropes.

For horizontal force balance, obtain
T₃ cos 50 = T₂ cos 38
0.6428T₃ = 0.788T₂
T₃ = 1.2259T₂ (1)

For vertical force balance, obtain
T₂ sin 38 + T₃ sin 50 = 350
0.6157T₂ + 0.766T₃ = 350 (2)

Substitute (1) into (2).
0.6157T₂ + 0.766(1.2259T₂) = 350
1.5547T₂ = 350
T₂ = 225.124 N
T₃ = 1.2259(225.124) = 275.979

Answer:
T₂ = 225.12 N
T₃ = 275.98 N

4 0

4 years ago

Neritic Sediments are deposited on the ocean floor in a sorted manor. In which order are the sediments ordered moving from the s

BaLLatris [955]

B of Earth’s surface is covered by water. Very little or no light penetrates beyond a few hundred feet in water

6 0

4 years ago

A small plane flies 37.0 km in a direction 45° north of east and then flies 28.0 km in a direction 25° north of east.

Karo-lina-s [1.5K]

Answer:

d= 64.1 km θ = 36.4º

Explanation:

a) In order to find the plane's straight-line distance from the starting point, we need to know the coordinates of the final and initial position of the plane, so we can find the total displacement, as the difference between the final and initial position.

If we choose to put our origin at the initial point of trajectory, we have that (x₀, y₀) = (0, 0)

In order to find the position of the plane after finishing the flight, we need to find its final coordinates (x₁, y₁).

In order to get x₁, we need to add the x-coordinate after flying 45º north of east, and the Δx after completing the flight in a direction 25º of east, that we can find applying trigonometry, as follows:

x₁ = 37.0 km * cos 45º + 28.0 km* cos 25º = 51.6 Km

Appying the same considerations for the y-coordinate, we have:

y₁ = 37.0 km * sin 45º + 28.0 km* sin 25º = 38.0 km

Now, as the initial position coincides with the origin, the distance in a straight line from this point to the origin, is just the hypotenuse of the triangle determined by the coordinates (x₁, y₁) and (0,0), as follows:

$d = \sqrt{x1^{2}+y1^{2}} =\sqrt{(51.6km)^{2}+(38km)^{2}} =64.1 km$

The geographic direction of the displacement vector (which coincides in magnitude with the distance we have just found), is just the angle that this distance forms with the east axis, that we can find getting the tangent of this angle as follows:

tg θ = $\frac{y1}{x1} = \frac{38km}{56.1km} =0.736$

⇒ θ = 36.4º North of East (counterclockwise from the east axis).

7 0

3 years ago

nexus9112 [7]

Answer:

As the skydiver falls to the Earth, she experiences positive acceleration only due to gravity.

Explanation:

As the skydiver falls to the Earth, she experiences friction in the form of air resistance which tries to slow her down and is proportional to the her velocity. So it cannot have a positive acceleration as it acts in opposite direction to slow her down.

Inertia during skydiving is experienced when we open an parachute, the parachute slows down the speed of are descent hence changing our inertia of motion with a velocity.

Only the Earth's, gravitational field has an positive acceleration as it pulls us towards the Earth, hence increasing our velocity.

3 0

4 years ago

Energy produced by nuclear fusion is ?

pentagon [3]

<h3>Answer;</h3>

D. Produces no wastes

<h3>Explanation;</h3>

Nuclear fusion are nuclear reactions in which two or more atomic nuclei fuse or join to generate different atomic nuclei together with subatomic particles, such as protons or neutrons.
Additionally, nuclear fusion reactions yields lots energy. The energy produced is usually more than the energy consumed by the reaction.
Fusion power is a form of power generation in which energy generated using fusion reactions is used to produce heat that is used in generation of electricity. Energy from nuclear fusion reactions is not coupled by production of wastes.

4 0

3 years ago

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