Solve x in the diagram below
1 answer:
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If the value of x is 10. Then the measure of angle ∠COB will be 56°.
<h3>What is an angle?</h3>The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
Given that A, O, and B lie on a straight line segment.
Then they make a linear angle that is 180 degrees.
Then we have
∠AOC + ∠COD + ∠DOB = 180
(3x + 94) + (x + 30) + (2x - 4) = 180
6x + 120 = 180
6x = 60
x = 10
Then the measure of angle ∠COB will be
∠COB = ∠COD + ∠DOB
∠COB = (x + 30) + (2x - 4)
∠COB = (10 + 30) + (20 - 4)
∠COB = 40 + 16
∠COB = 56°
More about the angled link is given below.
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Answer:
a) is demonstrated below, b) T=1.462N, c) T=14.6N
Step-by-step explanation:
a) Refer to the attached diagram.
Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby
By trigonometry Tay=Ta·Sinθ
Since the system is in equilibrium W=Tay+Tby then:
W=2·Tay=2·Ta·Sinθ=2·T·Sinθ
Since W=mg, being m the mass of the bird and g, gravity:
Isolating T, we demonstrate that
b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:
c) With θ=0.5º
