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Firlakuza [10]
3 years ago
6

How many line segments are in the 20th figure?

Mathematics
1 answer:
Trava [24]3 years ago
5 0
The first figure has 3 line segments.

the second figure has 3+3 =3*2 =  6 line segments

the third figure has 3+3+3 = 3*3 = 9 line segments

the fourth figure has 3+3+3+3=3*4=12 line segments...


so it is clear that:

the 20th figure has 3*20=60 line segments.


Answer: 60
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A population of ants is 10,000 at the start of April. Since then, it triples each month.
Kryger [21]

Answer:

Month since April                                   Number of Ants

          0                                                         10,000

           1                                                         30,000

          2                                                         90,000

          3                                                        270,000

          4                                                         810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 * 1 = 10,000 ants

1 month from April = 10,000 * 3 = 30,000 ants

2 months from April = 30,000 * 3 = 90,000 ants

3 months from April = 90,000 * 3 = 270,000 ants

4 months from April = 270,000 * 3 = 810,000

8 0
3 years ago
Becky graduated with a master degree in Personal Financial Planning. After working two years in a small financial planning firm,
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Answer:

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Step-by-step explanation:

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3 years ago
the boundary of a rectangular farm field in ireland has a straight rock wall along one side and fences along its other three sid
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Answer:

781250 ft^{2}

Step-by-step explanation:

Let y is the length of the farm field

Let x is the width of the farm field

Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:

2x + y = 2500 feet

<=> y = 2500 -2x

The are of the farm has the following formula:

A = x*y

<=> A = x(2500 - 2x)

<=> A = 2500x -2x^{2}

To have  the maximum area of field in square feet, we need to use differentials to estimate:

\frac{dA}{dx} = 2500 - 4x

Set \frac{dA}{dx} = 0, we have:

2500 - 4x  = 0

<=> x = 625 feet.

=> y = 2500 - 2*625 = 1250 feet

So the maximum area of field is:

A = x*y = 625*1250 = 781250 ft^{2}

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3 years ago
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Answer:

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Step-by-step explanation:

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