3 years ago

A number that when substituted for the variable makes a true statement

Mathematics

1 answer:

Elza [17]3 years ago

3 0

Your answer should be: a solution

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Where do the lines modeled by the equations y =-7.8x+1.4 and y -3.4x +1.2intersect

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3 years ago

The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries incr

madreJ [45]

Answer:

a) 35%

b) 6.67%

Step-by-step explanation:

a) The annual number of burglaries in 2012 would be 150% and since in 2013, it fell by 10%:

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The actual percentage increase of burglaries is 135% - 100% = 35% not 40%.

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2 years ago

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3 years ago

The formula t = 2 pi startroot startfraction l over 32 endfraction endroot relates the time, t, in seconds for a pendulum with t

natita [175]

The length of this pendulum that makes one full swing is 3.93 meters.

<h3>How to calculate the length of the pendulum?</h3>

Mathematically, the time taken by this pendulum is given by this formula:

$\rm T=2\pi \sqrt{\dfrac{L}{32}}$

Making L the subject of the formula, we have:

$\rm T=2\pi \sqrt{\dfrac{L}{32}}\\\\32T^2=4\pi ^2L\\\\L=\dfrac{32T^2}{4\pi ^2}\\\\$

Substitute all the values in the formula

$\rm L=\dfrac{32T^2}{4\pi ^2}\\\\ L = \dfrac{32 \times 2.2^2}{4 \times 3.14 ^2\\}\\\\ L =\dfrac{154.88}{39.43}\\\\L=3.93 \ m$

Hence, the length of this pendulum that makes one full swing is 3.93 meters.