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3 years ago

Circletown's limits form a perfectly circular shape. It has a population of

Mathematics

2 answers:

Iteru [2.4K]3 years ago

5 0

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

$A = \dfrac{20000}{480}$

$A = 41.667\ km^2$

Radius of the circle town

$\pi r^2 = 41.667$

$r = 3.64\ km$

Hence, the radius of circle town is equal to 3.64 Km.

alexgriva [62]3 years ago

4 0

Answer:

3.64

Step-by-step explanation:

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7. Three vertices of a parallelogram are (0, 0), (−4,0) and (0, 5). Find all 3 possible coordinates for

kenny6666 [7]

The given vertices combine with the fourth vertex as follows;

a) Coordinates; (-4, 5)

Lengths of the sides; 4 and 5

b) Coordinates; (4, 5)

Lengths of the sides; 4 and √41

c) Coordinates; (-4, -5)

Lengths of the sides; 5 and √41

<h3>How can the vertex coordinates be found?</h3>

The given vertices are;

(0, 0): The origin

(-4, 0): 4 units to the left of the origin along the abscissa

(0, 5): 5 units above the origin, along the ordinate

a) The point that forms a rectangle is above the point (-4, 0) and to the left of the point (0, 5), which gives;

The coordinates of the point that forms a rectangle is the point (-4, 5)

The lengths of the sides are;

0 - (-4) = 4

5 - 0 = 5

b) The first parallelogram is formed by moving an equal distance of the point (-4, 0) from the origin from the point (0, 5), which gives;

The first parallelogram is formed by the point (4, 5)

The lengths of the sides are;

4 - 0 = 4
√((5 - 0)^2 + (4 - 0)^2) = √41

c) The second parallelogram is formed by the moving an equal distance of the point (0, 5) from the origin from the point (-4, 0), which gives;

The second parallelogram is formed by the point (-4, -5)

The lengths of the sides are;

(5 - (-5)) = 5 and √41

Learn more about parallelograms here:

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3 0

2 years ago

Subtract using the number line<br><br> -1 1/3 - 1/6

liq [111]

-1 19/78 ...... all you have to do is go 1/6 steps up because its negative 1 1/3

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3 years ago

Read 2 more answers

William scored 24.5 points out of 30 on his math assignment. His teacher subtracted 5 points for being late. How many points is

Svetradugi [14.3K]

Answer:

William was 0.5 points away from a perfect score.

Step-by-step explanation:

If the teacher didn't subtract 5 points, he would have 24.5 + 5 = 29.5 points.

30 - 29.5 = 0.5

William was 0.5 points away from a perfect score.

8 0

3 years ago

4/f + 11 =29 what does f =

Delvig [45]

$\frac{4}{f} + 11 = 29$

First, subtract '11' from each side.
$\frac{4}{f} = 29 - 11$

Second, subtract '29 - 11' to get '18'.
$\frac{4}{f} = 18$

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
$4 = 18f$

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.
$\frac{4}{18} = f$

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
$4 \div 2 = 2 \\ 18 \div 2 = 9$

Seventh, we can now rewrite our fraction in simplest form and switch sides.
$f = \frac{2}{9}$

Answer in fraction form: $\fbox {2/9}$
Answer in decimal form: $\fbox {0.2222}$

7 0

3 years ago

Read 2 more answers

During the first six months of operation, Abdoul's lemonade stand made a profit of $50 per month. In the next three months it ha

MrMuchimi

profit, p = 6 × $50 = $300

losses, l = 120 + 30 + 200 = $350

overall = p - l = -$50

loss of $50

4 0

3 years ago