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3 years ago

Use the net to find the surface area of the prism.

Mathematics

2 answers:

Mama L [17]3 years ago

8 0

Answer:

Surface area of prism = 286 ft².

Step-by-step explanation:

Given : A prism with measurements of 5ft, 9ft, & the height of 7ft..

To find : What is the surface area of the prism .

Solution : We have given that a prism with

Length =5 ft,

Width = 9 ft .

Height = 7 ft.

Surface area of prism = $2(length* width\ +\ height*width\ +\ height*length})$

Plugging the values

Surface area of prism = 2 ( 5* 9 + 9 * 7 + 7 * 5)

Surface area of prism = 2 (45+ 63 + 35)

Surface area of prism = 2 ( 143).

Surface area of prism = 286 ft².

Therefore, Surface area of prism = 286 ft².

Lunna [17]3 years ago

5 0

I hope this helps you

2.5.9+2.5.7+2.7.9

90+70+126

286

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3 years ago

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babunello [35]

Answer:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

$\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy$

$\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)$

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

$\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy$

$\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy$

Therefore:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

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