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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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A group of cat owners was asked about the number of cats each owns. The results are shown in the frequency table. Number of Freq

Yakvenalex [24]

Answer:

Cats Owned B. 2 3

Hope I helped! :)

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3 years ago

Pani says she should get $3 discount on the price of each shirt and a $3 discount on the price of each pair of jeans. Write and

PilotLPTM [1.2K]

Answer:

(S - 3) + (X - 3) = B

Step-by-step explanation:

S = amount of shirts

X = amount of jeans

B = total amount she would pay

(S - 3) + (X - 3) = B

5 0

3 years ago

Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square

professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is $xy=10$

Also, given the sum of the squares of the numbers is 29 that is $x^2+y^2=29$

and the sum of the cubes of the numbers is 133 that is $x^3+y^3=133$

Using, the given identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ ,

Substitute, the given values, we have,

$(x+y)(29-10)=133$

Simplify , we get,

$(x+y)(19)=133$

Divide both side by 19, we have,

$(x+y)=7$

Thus, the sum of two numbers is 7.

7 0

4 years ago

Read 2 more answers

Can you deposit 1750 into investment account that will produce 6.05% annual interest the money was left in the car for two years

PSYCHO15rus [73]

Step-by-step explanation:

Find out how much you get money from the annual interest:

100% = 1750

1% = 1750 ÷ 100 = 17.5

6.05% = 17.5 x 6.05 = 105.87

Find out how much you get from interest in 2 years.

105.87 x 2 = 211.74

(Final answer)

4 0

3 years ago

The height of an object from a distance

olga55 [171]

Y = height
x = distance from tower

tan(19.9) = y/x

tan(21.8) = y/(x-50) ( x is 50 feet closer so subtract 50 from x)

find the tan of the angles:
tan19.9 = 0.362
tan21.8 = 0.400

replace those values in the equations:
0.362 = y /x
0.400 = y / (x-50)

rewrite to solve for height:
0.362x = y
0.400(x-50) = y distribute the 0.400 and rewrite as 0.400x-20 =y

now solve:

0.362x = 0.400x-20

add 20 to each side:
0.362x +20 = 0.400x

subtract 0.362x from each side:

20 = 0.038x

divide both sides by 0.038
x = 20 / 0.038 = 526.3 feet

now that x is known replace x in the original equation and solve for y:

tan19.9 = y /x

0.362 = y / 526.3
y = 0.362 x 526.3
y = 190.5

the height of the tower is 190.5 feet

7 0

3 years ago