The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802
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The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:
</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°

In y axis, the vector is = 7 sin 120°
= 7 X 0.866
= 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
= (- 0.5, 10.1)
Answer:
Explanation:
3.2
1.14
=
x
44.75
Cross Mutliply:
44.75
⋅
3.2
=
1.14
x
Divide:
143.2
1.14
=
x
You get 125.614 rounded to the nearest meter is 126
Step-by-step explanation:
We know, Circumference = <span>π * Diameter
So, c = </span><span>π * 8
c = 8</span><span>π
In short, Your Answer would be Option C
Hope this helps!</span>