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zhannawk [14.2K]
3 years ago
7

Rectangleville's limits form a perfectly rectangular shape whose length is 202020 kilometers and width is 121212 kilometers. It

has a population density of 320320320 people per square kilometer.
What is the population of Rectangleville?
Mathematics
1 answer:
kotykmax [81]3 years ago
7 0

Answer:

76,800

Step-by-step explanation:

Given the following :

Length = 20 kilometers

Width = 12 kilometers

Population density = 320 people per sq km

Population =?

Recall:

Area of rectangle = Length × width

Therefore,

Area of Rectangleville = 20 km × 12 km = 240km^2

Population is related to population density and Area by the formula ;

Population density = population ÷ Area

Therefore,

Population = population density × Area

Population = 320 × 240 = 76,800

Therefore, the population of Rectangleville is 76,800 people

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15

Step-by-step explanation:

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Three lizards eat 63 grams of food each day. How many grams of food would you expect 5 lizards to eat
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Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,
Firlakuza [10]
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
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 Tan(α)=Opposite leg/Adjacent leg

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 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
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4 0
3 years ago
Polygon C and polygon D are similar. The perimeter of polygon C is 192 inches, and the perimeter of polygon D is 48 inches. If o
Marianna [84]

Answer:

B. 2 in.

Step-by-step explanation:

First, put the two perimeters together to form a fraction.

192/48, which can simplify to 4/1

Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

\frac{4}{1}  =  \frac{8}{x}

Now, cross multiply. (multiply 1 and 8, 4 and x.)

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3 0
3 years ago
Question 18
ira [324]

Answer:

The function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

Step-by-step explanation:

Given the sequence

95, 80, 65, 50, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

80-95=-15,\:\quad \:65-80=-15,\:\quad \:50-65=-15

As the difference is the same, so

d = -15

as

a_1=95

Thus, substituting d = -15, a_1=95 in the nth term of an arithmetic sequence

a_n=a_1+\left(n-1\right)d

a_n=-15\left(n-1\right)+95

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Therefore, the function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

6 0
3 years ago
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