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diamong [38]
3 years ago
9

{L}{9.8}" alt="5.5=2\pi \sqrt{\frac{L}{9.8}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:

The length, L = 7.52 m.

Step-by-step explanation:

The given expression is

5.5= 2 \pi \sqrt\frac{L}{9.8}\\\\Sqauring on both the sides\\\\5.5 \times 5.5 = 4\pi^2 \times \frac{L}{9.8}\\\\L = 7.52 m

The value of length is 7.52 m.

prisoha [69]3 years ago
4 0

9514 1404 393

Answer:

  7.51 m

Step-by-step explanation:

The equation matches that required for finding the length of a pendulum that has a period of 5.5 seconds. We can solve for L to find the length.

  5.5=2\pi\sqrt{\dfrac{L}{9.8}}\\\\\dfrac{5.5}{2\pi}=\sqrt{\dfrac{L}{9.8}}\\\\\left(\dfrac{5.5}{2\pi}\right)^2=\dfrac{L}{9.8}\\\\L=74.1125/\pi^2\approx7.509

The length of a pendulum with period 5.5 seconds is about 7.51 meters.

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown
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Answer:

<h2><em>(3,6)</em></h2>

Step-by-step explanation:

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M(X,Y) = (\dfrac{x_1+w}{2},  \dfrac{y_1+y}{2})

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

X = \dfrac{x_1+w}{2} \\2 =  \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3

Similarly;

Y = \dfrac{y_1+y}{2} \\2 =  \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6

<em>Hence the other endpoint (w, y) is (3,6)</em>

8 0
3 years ago
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