Answer:
3√6
Explanation:
explanation is in the image above
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Circle 1's center is at x=-4 and Circle 2's center is at x=5. To translate Circle 1 to Circle 2, we need to shift the circle to the right 9 places:
5 - (-4) = +9
We do the same thing for the y value. We are going from y=-2 to y=3.
3 - (-2) = +5
So the first blank is (9, 5)
Next, the scale factor refers to the factor at which the circle is stretched or shrunk. We find it by comparing the radii. Going from 3 cm to 6 cm, the scale factor is:
6/3 = 2.
The scale factor is 2.
The tension in both cables are calculated as; T₁ = 127.63 N and T₂ = 185.48 N
<h3>How to find the Tension in Suspended Cables?</h3>
Resolving forces in the y direction gives us;
T₁ sin 29° + T₂ sin 53° = 210 ------(eq 1)
Resolving forces in the horizontal direction gives;
T₁ cos 29° = T₂ cos 53° ----(eq 2)
T₁ = T₂ cos 53°/cos 29°
Thus;
(T₂ cos 53°/cos 29°)sin 29° + T₂ sin 53° = 210
0.3336T₂ + 0.7986T₂ = 210
T₂ = 210/1.1322
T₂ = 185.48 N
Thus;
T₁ = 185.48 cos 53°/cos 29°
T₁ = 127.63 N
Read more about Tension in Cables at; brainly.com/question/11653585
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