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monitta
3 years ago
14

l/g}" align="absmiddle" class="latex-formula">
This is the formula for the period T of a pendulum of length l. Solve this formula for l.
Mathematics
1 answer:
Ket [755]3 years ago
8 0

Answer:

T^2*g / 4pi^2  = l

Step-by-step explanation:

T = 2 * pi * sqrt( l/g)

We need to solve for l

Divide each side by 2pi

T/ (2pi) = 2 * pi/2pi * sqrt( l/g)

T/ (2pi) =  sqrt( l/g)

Now square each side

(T/ (2pi))^2 = ( sqrt( l/g))^2

T^2 / 4pi^2 = l/g

Multiply each side by g

T^2 / 4pi^2  * g= l/g*g

T^2*g / 4pi^2  = l

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Which is the equation of the line with slope 3 that contains point (-1, 5)?
sattari [20]

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=3[x-(-1)] \\\\\\ y-5=3(x+1)\implies y-5=3x+3\implies y=3x+8

5 0
3 years ago
Point D is 1/n of the way from C(−2.5, 1.25) to E(5, 15). What are the coordinates of D if n = 5?
prisoha [69]

The coordinate of point D will be ( -0.5, 0.25 ).

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.

The coordinates of point D will be:-

D = ( 1 / n ) C

D = ( 1 / n ) ( -2.5 , 1.25 )

D = ( 1 / 5 ) ( -2.5 , 1.25 )

D = ( -0.5 , 0.25 )

Therefore, the coordinate of point D will be ( -0.5, 0.25 ).

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

7 0
1 year ago
WILL GIVE BRAINLEST Find the measure of the arc or central angle indicated. Assume that lines which
Blababa [14]

Answer:

It should be 261 degrees.

Step-by-step explanation:

4 0
2 years ago
The larger of two numbers is 2 less than three times the smaller number. If the sum of the two numbers is 26, find the two numbe
Delvig [45]

Answer:

Step-by-step explanation:

19 and 7

6 0
3 years ago
How much is House A worth after two years? Round your answer to the nearest dollar.
Gekata [30.6K]

Answer:

see below

Step-by-step explanation:

Take the original value times the appreciation and add the original value

Do this for each year

House A

year 1:

 new value = 125260+ 125260* .05

                    =125260 +6263

                     =131523

year 2:

 new value = 131523+131523* .05

                    131523+6576.15

                         138099.15

Nearest dollar  138099

House B

year 1:

 new value = 120160+ 120160* .06

                    =120160 +7209.60

                     =127369.6

year 2:

 new value = 127369.60+127369.6* .05

                    127369.60+7642.18

                         135011.78

Nearest dollar  135012

4 0
2 years ago
Read 2 more answers
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