The area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

<h3>What is Ratio?</h3>

A ratio shows us the number of times a number contains another number.

As it is given that the population density of Tinyville is 16.2 Tinys per acre, while the population of Tinyville is 405 Tinys. Therefore, the area of the Tinyville is the ratio of the population of Tinyville to the population density of the Tinyville.

$\text{Area of Tinyville} = \dfrac{\text{Population of Tinyville}}{\text{Population Density of Tinyville}}$

$\text{Area of Tinyville} = \dfrac{405}{16.2} = 25$

Hence, the area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

Learn more about Ratio:

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6 0

2 years ago

Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the

olganol [36]

Answer:

none of the above

f(x) ≈ 197·1.03^x; approximately 3% daily

Step-by-step explanation:

If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...

f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x

f(x) ≈ 197·1.03^x

The daily multiplier of 1.03 represents a daily growth rate of

1.03 -1 = .03 = 3%

_____

These answers are not found among the offered choices:

f(x) = 197·1.03^x

3% daily growth

Step-by-step explanation:

8 0

3 years ago

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a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is

Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

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Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

7 0

3 years ago

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What is cosine ? I really need this answer for my test tomorrow. Please help

Kisachek [45]

Cosine is $\frac{adjacent}{hypotenuse}$ which applies to a right triangle. I hope that helps you.

3 0

3 years ago

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