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ra1l [238]
3 years ago
14

Mr. Sánchez owns a square field. The side lengths are 0.9 kilometers. There are 1,980 prairie dog burrows in the fields. What is

the approximate density of prairie dog burrows in burrows per square kilometer?
Mathematics
1 answer:
Simora [160]3 years ago
5 0
The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula: A=s^2
Were 
A is the area in square kilometers 
s is one of the sides of the square
We know for our problem that  the side lengths of the field are 0.9 kilometers, so s=0.9. Lets replace that value in our formula to find A:
A=(0.9)^2
A=0.81 

Now, to find the population density of the filed, we are going to use the population density formula: P_{d}= \frac{I}{A}
where
P_{d} is the population density in <span>in burrows per square kilometer
</span>I is the number of burrows 
A is the are of the field
We know that I=1980 and A=0.81, so lets replace those values in our formula:
P_{d}= \frac{1980}{0.81}
P_{d}=2444.4

We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>
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So, 40 Customers are waiting at 10 A.M.

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1 year ago
Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(
GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  mm^2

The surface area of the triangular prism is 55.5,127.5,135,or 150  mm^2

Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face =7.5mm^2

(C)Total Surface Area of the Triangular prism =135mm^2

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face =\frac{1}{2}*6*2.5=7.5mm^2

The dimensions of the lateral rectangles are:

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Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

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Total Surface Area of the Triangular prism =135mm^2

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Answer:

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Answer:

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