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3 years ago

What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

Answer:

The approximate length of the pendulum is 46.08 ft

Step-by-step explanation:

The time (t) of pendulum oscillation is given as;

$t = 2 \pi\sqrt{\frac{L}{g} }$

where;

L is the length of the pendulum

g is acceleration due to gravity = 9.8 m/s² = 32.15 ft/s²

t is the time given as 2.4 π seconds

From the equation above, make L the subject of the formula;

$t = 2 \pi\sqrt{\frac{L}{g} } \\\\\frac{t}{2\pi} = \sqrt{\frac{L}{g} }\\\\(\frac{t}{2\pi} )^2 =\frac{L}{g} \\\\L = g*(\frac{t}{2\pi} )^2\\\\L = 32.15*(\frac{2.4 \pi}{2\pi} )^2\\\\L = 32.15 *1.44\\\\L = 46.296 \ ft$

Therefore, the approximate length of the pendulum is 46.29 ft

The closest option is 46.08 ft

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What is the slope of the line which passes through the

Gelneren [198K]

Answer:

Step-by-step explanation:

This one I did already You're welcome

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2 years ago

Use the following ordered pairs

Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

$(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})$

Putting the values

$=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)$

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

3 0

3 years ago

How can 6.75 + (-10.25) be expressed as the sum of its integer and decimal part

attashe74 [19]

There you go please brainliest thanks!

4 0

3 years ago

PLEASE HELP ASAP!!!!!!

Katena32 [7]

1. - Since a cube is all the same lengths on all sides you would want to find the area of one of the sides. You would do this by multiplying 3.8 by 3.8.
3.8*3.8=14.44
Since you have six faces on a cube you want to multiply this by 6.
14.44*6=86.64
So your answer for 1. is 86.64 in^2 of glass

3. Same thing as number one. Find the face of one side:
1 1/3*1 1/3 is about 1.7777
Multiply this by the six faces.
1.7777*6 is about 10.66666
So your answer for 3. is about 10.666 (repeating) in^2

4. For this one, you want to follow the surface area formula for a cylinder. Which is - A=2πrh+2πr^2
When you put all your numbers in it would look like this:
2*3.14*2*22+2*3.14*2^2
Once you do that equation you will get 301.44
So that should be your answer 301.44 cm^2

Hope this helps!

8 0

3 years ago

In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weig

mr_godi [17]

Answer:

39.7%

Explanation:

1. First find the density of your chain

Density = mass / volume

Volume = displaced water volume

= Volume of Final level of water - initial level of water

= 20 ml - 15 ml = 5 ml

Mass = 66.7 g

Density = 66.7g / 5 ml = 13.34 g/ml

2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:

Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

$\dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34$

$19.3x+635.66-9.7x=889.778$

$9.6x=254.118\\\\x=26.47$

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

(26.47 / 66.7) × 100 = 39.7%

7 0

3 years ago