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Katyanochek1 [597]
3 years ago
15

Can I please get help with this I give thanks

Mathematics
2 answers:
gladu [14]3 years ago
6 0
First one :
We divide it into two rectangles (the top one has dimensions 2in*4in)

The area of the top rectangle is 2*4=8 in^2

The second rectangle has dimensions 3*(5-3)=6 in^2
Hence the total area is 8+6=14 square inches

Second one :

We divide it into a rectangle (dimensions 11*17) and a triangle on the top.

The area of the rectangle is 11*17=187 m^2
The rectangle has dimensions 17 (base's length) and 23-11 (height) hence its area is 17*(23-11)/2=102 m^2

Hence the total area is 102+187=289 square meters

777dan777 [17]3 years ago
5 0
For the first shape split the 'L' into two rectangles; one with a length of 5 inches and a height of 3 inches, we'll call is shape J, the other with a height of 4 inches and a length of 2 inches, this one can be called shape K. (I've basically drawn an imaginary line across the middle). It's a lot easier to work out area this way, simple height multiplied by length. J = 5 x 3 = 15 inches. K = 4 x 2 = 8 inches. Add the two together and you get the area of the whole shape: 23 square inches. *It's important to remember units.* I don't know for sure how to do the second shape (sorry) but I was asked to help out with this question, so I did. I suggest you split the shape again, but this time into a triangle and a rectangle which is far easier to calculate and area for.
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1. The number of rabbits on an island is increasing exponentially.
Zina [86]

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<em>There are approximately 114 rabbits in the year 10</em>

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<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

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In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

50=P_o(1+r)^1

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\displaystyle r=\sqrt[4]{\frac{72}{50}}-1

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r=0.095445

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P\approx 114

There are approximately 114 rabbits in the year 10

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