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3 years ago

What sequence is modeled by the graph below? Picture and answer choices below :)

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

6 0

$(1;\ 4)\to a_1=4\\(2;\ 0.8)\to a_2=0.8\\(3;\ 0.16)\to a_3=0.16\\\\it's\ a\ geometric\ sequence\ because\ a_1a_3=a_2^2\\\\a_1a_3=4\cdot0.16=0.64\\\\a_2^2=0.8^2=0.64$

$a_n=a_1r^{n-1};\ r=a_2:a_1\to r=0.8:4=0.2=\dfrac{1}{5}\\\\subtitute:\\\\a_n=4\cdot\left(\dfrac{1}{5}\right)^{n-1}$

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Answer:

Hence the Distance from each other chord to center is 84 inches.

Step-by-step explanation:

Given:

Diameter =170 inches

2 chords with each length =26 inches.

To Find:

Distance of each chord from the circle.

Solution:

Consider a circle with center as O ,

And OA as Radius

(Refer the attachment)

So as chord be BC and DE respectively with each of 26 length

They have both same length so they should located at same distance from center but as mirror images of each other opposite side of the diameter as shown in fig.

Hence we can calculate for one chord as follows:

Radius =diameter/2=170/2=85

r=85 inches.

Let distance from center t o chord be 'x'

Now draw perpendicular to chord BC with F as midpoint for chord and join endpoints of chord to the center which forms triangle OFC as right angled triangle,

By using pythagorus Theorem

$OC^2=FC^2+OF^2$

Here OC=85 inches , FC=26/2=13 inches.

$85^2=13^2+OF^2$

$OF^2=85^2 -13^2$

$OF^2=7225-169$

$OF^2=$ 7056

$OF=84$ inches

Hence the Distance from each other chord to center is 84 inches.

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4 years ago

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4 years ago

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Answer:

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Step-by-step explanation:

In this case, we need to find the LCM, least common multiple, of 8 and 10 to find the least number of packs of hot dogs and buns that Tommy needs to buy.

The LCM of 8 and 10 is the smallest number that is both divisible by 8 and 10. One way we can find this is by checking all the multiples of 10 in ascending order to see if they are divisble by 8:

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Therefore, Tommy will need to by 40 buns and 40 hotdogs. Since buns come in packs of 8 and hot dogs come in packs of 10, we can divide to get the number of packs Tommy should buy respectively:

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