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3 years ago

Start with 2 Rabbits.Each pair has 4 babies per month.How much will they have by the 12 month?

Mathematics

2 answers:

Andrej [43]3 years ago

8 0

2 4 8 16......

the sequence represents geometric progression with first term a = 2 and common ratio r = 2

sum of geometric progression = S = a(r^n-1)/(r-1), where n is number of terms

n =12

S = 2( 2^12 - 1)/ (2-1)

S = 8190

total rabbits by the 12 month = 8190

Vikki [24]3 years ago

4 0

2 Rabbits multiplied by 4 equals 8 multiplied by 12 equals 96.

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is

MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = $w+12$ inches

As given, 4 inch squares are cut from each corner;

So, the width is = $w-8$ inches

Length is = $w+12-8=w+4$ inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, $256=(w+4)(w-8)(4)$

=> $256=(w^{2}-4w-32)4$

=> $64=(w^{2}-4w-32)$

=> $w^{2} -4w=96$

or $w^{2} -4w-96=0$

=> $w^{2} -12w+8w-96=0$

=> $w(w-12)+8(w-12)=0$

We get , $(w+8)=0$ ; w = -8(neglect the negative value)

$(w-12)=0$ ; w = 12 inches

And length = $12+12=24$ inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : $256=(w+4)(w-8)(4)$

$256=(12+4)(12-8)(4)$

=> $256=(16)(4)(4)$

=> $256=256$

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3 years ago

Solve the triangle. Round your answers to the nearest tenth.

igor_vitrenko [27]

Answer:

Angle A = 42°

Side b (Opposite side of angle B) = 13

Side c (Opposite side of angle C) = 29

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balu736 [363]

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Step-by-step explanation:

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torisob [31]

Answer:

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Step-by-step explanation:

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