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Alex Ar [27]
2 years ago
9

PLEASE HELP I ONLY HAVE 12 MINUTES!! The pendulum of the grandfather clock shown below swings at a maximum angle of 25 degrees.

The arc length of the path of a full pendulum swing measures 1/2n feet. How long, in feet, is the pendulum?

Mathematics
2 answers:
Vaselesa [24]2 years ago
7 0

Answer: T = 2π√(I/mgD)

Step-by-step explanation:

where:

m is the mass of the pendulum;

I is the moment of inertia of the mass; and

D is the distance from the center of mass to the point of suspension.

Determine the length of the pendulum. For example, it can be equal to 2 m.

Decide a value for the acceleration of gravity. We will use the Earthly figure of 9.80665 m/s², but feel free to check how the pendulum would behave on other planets.

Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s.

Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz.

You can also let this simple pendulum calculator perform all calculations for you!

telo118 [61]2 years ago
5 0
Give me brainliest pls
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Can somebody help me? I’m already failing :(
Yuliya22 [10]

Answer:

125

Step-by-step explanation:

f(1)= the first time (32,000)

n= 9

r= .5 (each term is being mulitplied by .5 to get the next one

We have

32,000*(.5)^(9-1)

32,000*(.5)^8

=125

5 0
3 years ago
Ad is tangent to circle o at d. find ab. round to the nearest tenth if necessary
Naddik [55]
Check the picture below.

\bf 0=AB^2+6AB-121\implies \stackrel{\textit{using the quadratic formula}}{AB=\cfrac{-6 \pm \sqrt{6^2-4(1)(-121)}}{2(1)}}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{520}}{2}\implies AB=\cfrac{-6 \pm \sqrt{4\cdot 130}}{2}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{2^2\cdot 130}}{2}\implies AB=\cfrac{-6 \pm 2\sqrt{130}}{2}
\\\\\\
AB=-3\pm\sqrt{130}\implies AB=
\begin{cases}
\boxed{-3+\sqrt{130}}\\\\
-3-\sqrt{130}
\end{cases}

since the distance AB cannot be a negative value, thus is not -3-√(130).

3 0
3 years ago
Read 2 more answers
How many even 3-digit positive integers can be written using the digits 1,2,4,7, and 8?
N76 [4]

Looking at the question, we can see we have 5 different numbers that can go in any order.

<u>5</u> * <u>4</u> * <u>3</u>

The above is basically saying there are 5 different numbers that can be multiplied by 4 other numbers. Those 2 can be multiplied by 3 different ones, leaving us with a 3 digit positive integer.

5 * 4* 3 = 60

4 0
3 years ago
An angle in standard position measures 5pie/8 radians.
GrogVix [38]

Answer:

Step-by-step explanation:

It's easier to convert the angle into degrees.

5π/8 ≅ 112.5°, which is in quadrant II

3 0
3 years ago
. The cost of 2 pizzas and 1 burger is ₹ 450. Write a linear equation for this situation and draw its graph.​
Akimi4 [234]

Answer:

The linear equation is;

Y = 450 - 2·X

Please find the included graph

Step-by-step explanation:

Whereby we have the following relation;

The cost of 1 pizza = X

The cost of 1 burger = Y

Hence;

450 = Y + 2·X

Which gives;

Y = 450 - 2·X

The linear equation for the situation is therefore as presented above

The graph of the linear equation can be plotted using the assumed data as follows;

Y,           X

1,           448

2,          446

3,         444

4,          442

5,          440

6,          438

7,          436

8,          434

9,          432

10,          430

11,          428

12,          426

13,          424

14,          422

15,          420

16,            418

8 0
3 years ago
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