Circletown's limits form a perfectly circular shape. It has a population of 20000 and a population density of 480 people per square kilometer.
What is Circletown's radius?

Answers

Answer 1

Answer:

r = 3.64 km

Step-by-step explanation:

Given the following information:

population of the town: 20000 people population density : 480 people per square kilometer

=> The area of the town is:

= Total population / population density per square kilometer

[tex]A = \dfrac{20000}{480}[/tex]

[tex]A = 41.667\ km^2[/tex]

As we know, the formula used to find the area of a circle is:

A = π[tex]r^{2}[/tex]

In this situation, we already knew the area of the town

<=> A = π[tex]r^{2}[/tex]  = 41.776

<=> [tex]r^{2}[/tex] = 41.776  / 3.14

<=> r = 3.64 km

So the radius of the town is 3.64 km

Answer 2

Answer:

3.64

Step-by-step explanation:


Related Questions

Linda shoots an arrow at a target in an archery competition. The arc of the arrow can be modeled by the equation y = −0.02x2 + 0.65x + 4, where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow. How far from Linda does the arrow hit the ground? Round to the nearest tenth.

Answers

Answer:

Linda was 37.8 m away when the arrow hit the ground

Step-by-step explanation:

We are given that The arc of the arrow can be modeled by the equation :

[tex]y = -0.02x^2 + 0.65x + 4[/tex]

Where x is the horizontal distance (in meters) from Linda

y is the height (in meters) of the arrow.

Now we are supposed to find How far from Linda does the arrow hit the ground

So, y must be 0 when the arrow hits the ground

So, Substitute y = 0 in the equation :

[tex]y = -0.02x^2 + 0.65x + 4\\0 = -0.02x^2 + 0.65x + 4\\0.02x^2-0.65x-4=0\\0.02(x-37.79)(x+5.29)=0\\x=37.79,-5.29[/tex]

Since distance cannot be negative

So,Linda was 37.8 m away when the arrow hit the ground

From the top of a lighthouse 55 feet above sea level, the angle of depression to a small boat is 11.3*. How far is the boat from the base of the lighthouse? *

Answers

Answer:

275.248 ft

Step-by-step explanation:

this is a trigonometry question, so we first draw a triangle with height 55 and angles 11.3 (degrees) and 78.7 (degrees). tan(11.3)=55/base, so the base would be 275.248 ft.

The ratio 36:60 is equivalent to what other ratios? ( list at least 2)

b) make the ratio 36:60 equivalent to _:50 ( show proof)

Answers

Answer:

1.) 12:20

6:10

2.) 30:50

6*5=30 and 10*5=50

(6:5 is the proportional relationship)

Step-by-step explanation:

Part A: Since the base numbers are 6:5, you can multiply any number like 5 on both sides. They only have to be the same number.

Part B: Divide the numbers until you cannot any more. I divided them both by 6.

Use a concrete, pictorial, or algebraic model to solve each
equation. a. -2x + 7 = 16

Answers

Your answer is x=4.5

Easy Question, Easy Points



Topic: Volume

Answers

Answer:

a   125600 cm^3

b    327910.2 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

a   = 3.14 (20)^2 100

  =125600 cm^3

b  We know the diameter  r =d/2 = 118/2 =59

V = pi r^2 h

         3.14 (59)^2 *30

        327910.2 m^3

Answer:

1) 125,600 cm³

2) 327,910.2 m³

Step-by-step explanation:

Volume of cylinder: pi × r² × h

1) 3.14 × 20² × 100

125,600 cm³

2) 3.14 × (118/2)² × 30

327,910.2 m²

Hudson is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 6 people. Hudson booked a total of 19 rooms which can accommodate 87 guests altogether. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.

Answers

Answer:

Our system is  :   S + L = 19,  and  3S + 6L = 87

Let # of small rooms = S

# of Large rooms = L

10 Large rooms and 9 Small rooms

Step-by-step explanation:

Let # of small rooms = S

# of Large rooms = L

S + L = 19

3*S + 6*L = 87

Our system is  :   S + L = 19,  and  3S + 6L = 87

solve.

S = 19 - L

3*(19 - L) + 6L = 87

57 - 3L + 6L = 87

57 + 3L = 87

3L = 30

L = 10

S = 19 - 10 = 9

Answer:

Step-by-step explanation:

Let the number of smaller rooms be x

Total rooms are 19. So, number of larger rooms  = 19 - x

Total guests = 87

3x + (19-x)6 = 87

Answer plzzzzzz Quick

Answers

Answer:

2nd choice

Step-by-step explanation:

Answer:

600 is the right one

Step-by-step explanation:

FP!!!!!!!!!!!!

(10 x 5 ) + 50 =

read comment plz

Answers

Answer:

(10 x 5) + 50 =

(50) + 50 = 100

Step-by-step explanation:

1. do parenthesis first

2. add them together

Answer:

(10*5)+50

50+50=100

Step-by-step explanation:

Hope I helped

Identify asymptote of a function y = 2(3)^x+7 – 5
O y=7
O x=7
O y=-5
Ox=-5

Answers

y=-5 hope this helps!

The asymptote of the function is y = -5.

What are Vertical and Horizontal Asymptotes?

A vertical asymptote of a function is the vertical line x = c such that the function tends to approach to infinity as the value of x approaches a.

Horizontal asymptote is the horizontal line y = d, such that the function approaches this line as the value of x approaches positive or negative infinity.

Given function is,

y = 2 (3)⁽ˣ⁺⁷⁾ - 5.

Horizontal asymptote of an exponential function y = kˣ is the line y = 0.

If the parent function is transformed and becomes something of the form y = akˣ + d, then the horizontal asymptote if the line y = d.

Here, the value instead of d = -5.

So the horizontal asymptote is y = -5.

Hence the correct option is C. y = -5.

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Ross has a spinner that is split into eight equal sections numbered 1 through 8. He spun the spinner 1,104 times. Which of the following would be a good estimate of the number of times the spinner landed on number 6?
A.
291
B.
117
C.
209
D.
127

Answers

Answer:

D.  127

Step-by-step explanation:

Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.

Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.

A) 291/1104 = .264

B) 117/1104 = .106

C) 209/1104 = .189

D) 127/ 1104 = .115

Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.

Answer:

D, 127

Step-by-step explanation:

it would be d because if the spinners each have equal spots then you can divide it by 8. which gets you 138, but that isn't an option and its probability so its always around a number. so the closest one is 127 or D

What is the value of (-1/2)-4

Answers

Answer:

2

Step-by-step explanation:

-1/2 * (- 4)

2 Answer

apply the distributive property to create an equivalent expression to 6(a+2b+3c)

Answers

Answer:

6a+12b+18c

Step-by-step explanation:

Multiply 6 with the numbers inside the parentheses.

During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one, where w is the number of wins and p is the number of points scored. One team in the league scored 444 points and had 12 wins.
What is the residual of that team’s win total?

a. -2.046
b. -1.764
c. 1.764
d. 2.046

Answers

Answer:A

Step-by-step explanation:

The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.

What is equation?

An equation can be stated as a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one,

i.e. w = 0.031p - 3.81

where w is the number of wins and p is the number of points scored.

now, we have,

One team in the league scored 444 points and had 12 wins.

i.e. p = 444

w = 12

so, we get,

LHS = 12

and, RHS = 9.954

so, the residual of that team’s win total is,

9.954 - 12

= -2.046

Hence, The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.

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The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Which values of x hold true for the inequality?

Answers

Answer:

All integers greater than 12 (13 onwards) satisfy the inequality

Step-by-step explanation:

x + x + 1 + x + 2 > 40.

3x + 3 > 40

3x > 37

x > 12.3333

All integers greater than 12 (13 onwards) satisfy the inequality

How long would it take for a snail (average speed of 0.029) to travel 2,800 miles ?

Answers

Answer:

5 days 12 hours = 7920 minutes. x = 5280 feet = 1 mile.

Step-by-step explanation:

Answer:

answer is 5 days and 12 hours

Step-by-step explanation:

hope we can be friends

can i please get brainliest

Complete the statement about figures on the graph. Parts A and create a figure on the coordinate plane that has point symmetry about the origin.

Answers

Answer:C

Step-by-step explanation:

The answer is "Parts A and  C  create a figure on the coordinate plane that has point symmetry about the origin" on Edge 2020

jo triangles.
The base of the rectangle is 7 inches, and the height is
6 inches.
The area of one triangle is
square inches.
13
21
42
84

Answers

Answer:

21

Step-by-step explanation:

Area = 1/2 (Base x Height)

Area = 1/2 (7 x 6)

Area = 1/2 (42)

Area = 21

Answer:

Answer is B.21

Step-by-step explanation:


four hundred seventy-one of the one thousand contestants were girls. Girls made up what fraction of the contestants?

Answers

Answer:

The fraction is 470/1000, which can be simplified to 47/100, and that is 47%.

Step-by-step explanation:

Basically you take what is asked for and you divide it by the total amount.

470 is the amount of girls as contestants.

1000 is the total amount of contestants.

And that gives you the ratio 470/1000.

Answer:

Step-by-step explanation:

Solve for x using the zero product property. (x+3)(x+2) = 0

Answers

Answer:

x can be -3 or -2

Step-by-step explanation:

There are two binomials here (x+3) and (x+2). For the product to be 0, one (of both) have to be 0. For the first binomial to be 0, x must be -3. For the second to be 0, x must be -2.

Answer:

x=-3 and x=-2

Step-by-step explanation:

Since we are trying to find the two intersections points of the quadratic we solve for x.

x+3=0

 -3

x   =-3

Repeat to (x+2)

x+2=0

  -2

x    =-2

Eduardo bought 3 liters of water, 2,750 milliliters of sports drink and 2.25 liters of juice. Which statement is true? Group of answer choices

Answers

Answer:

Step-by-step explanation:

What we will do is evaluate each of the statements:

Eduardo bought 3 liters of water. This statement may be true, because he was able to buy the water for multiple people or for another use.

2,750 milliliters of sports drink. It is false because the quantity is too small to drink.

2.25 liters of juice. As in the case of water, it can be true if it is to be taken in a group.

Easy Question, Easy points


Topic: Volume

Use the other attached paper to help u find formula

Focus on question Scenario 2

Answers

Answer:

20,000 cm³

Step-by-step explanation:

The shape is a triangular prism

Base area × height

½ × 20 × 25 × 80

20,000 cm³

Solve the quadratic equation: -x^2+8x=7

Answers

Answer:

Step-by-step explanation:

To solve the quadratic equation [tex]-x^2 + 8x = 7[/tex], we first convert it to standard form and identify the coefficients. Using the quadratic formula, we find the solutions to be x = -1 and x = 7.

To solve the given quadratic equation, [tex]-x^2 + 8x = 7[/tex], we first need to bring the equation to the standard form of a quadratic equation, which is [tex]ax^2 + bx + c = 0[/tex]. We can do this by subtracting 7 from both sides, resulting in [tex]-x^2 + 8x - 7 = 0[/tex].

Now the equation is in standard form, we identify the coefficients: a = -1, b = 8, and c = -7. Applying these to the quadratic formula, x = [-b ± [tex]\sqrt(b^2 - 4ac)[/tex]] / (2a), we get:

x = [-8 ± [tex]\sqrt((8)^2[/tex] - 4(-1)(-7))] / [2(-1)]

x = [-8 ± [tex]\sqrt(64 - 28)[/tex]] / -2

x = [-8 ± [tex]\sqrt(36)[/tex]] / -2

x = [-8 ± 6] / -2

Now, solving for x, we get two solutions:

x = (-8 + 6) / -2 = -1

x = (-8 - 6) / -2 = 7

Therefore, the solutions to the quadratic equation are x = -1 and x = 7.

Slope of 0 3 and 4 1

Answers

Answer:

m = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

The slope of (0,3) (4,1) =

[tex]\frac{-1}{2}[/tex]

Hope this helps :)

Slope = y2-y1/x2-x1

1-3/4-0

-2/4

-1/2

An airplane is preparing to land an airport. It is 34,800 feet above the ground and descending at the rate of 3,000 feet per minute. At the same airport, another airplane is taking off and will ascending at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?

Answers

Answer:

6 mins, and the altitude will be 16,800 ft

Step-by-step explanation:

1st: Subtract 3000 from 34800

2nd: Multiply 2 to 2800

Keep doing this until you get the same altitude for each one.

Final answer:

After 6 minutes, both airplanes will be at an altitude of 16,800 feet. This is found by solving two equations for the descending and ascending planes and determining the time when their altitudes are equal.

Explanation:

To determine when two airplanes will be at the same altitude, we can set up an equation where the altitude of the descending airplane equals the altitude of the ascending airplane.

Let t be the time in minutes after the planes have begun their ascent and descent respectively.

The descending airplane starts at 34,800 feet and descends at 3,000 feet per minute. Therefore, its altitude after time t will be:

Altitude of descending plane = 34,800 feet - (3,000 feet/minute × t)

The ascending airplane starts at the ground level and ascends at 2,800 feet per minute. Thus, its altitude after time t will be:

Altitude of ascending plane = 0 feet + (2,800 feet/minute × t)

To find the time when the altitudes are equal:

34,800 feet - (3,000 feet/minute × t) = (2,800 feet/minute × t)

Solving for t, we get:

t = 34,800 feet / (3,000 feet/minute + 2,800 feet/minute)

t = 34,800 feet / 5,800 feet/minute

t = 6 minutes

Now, to find the altitude at which they will be at the same level, we can plug t back into either equation for altitude:

Altitude at 6 minutes = 2,800 feet/minute × 6 minutes

Altitude at 6 minutes = 16,800 feet

Therefore, after 6 minutes, both airplanes will be at an altitude of 16,800 feet.

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If x =-4 and y= 3 , what is the value of x - 3y^2 ?
A. -13
B. -23
C. -31
D. -85

Answers

Answer:

-31

Step-by-step explanation:

= x - 3y^2

= -4 - 3 × 3^2

= -4 - 27

= -31

hope it helps!

Use the given line and the point not on the line to
answer the question.
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
(-3.6, 0)
(-2, 0)
(0, -3.6)
(0, -2)

Answers

It’s C hope this helped

Answer isssss:

C

yw ily

Find the volume of a rectangular prism that is 16 cm in length, 12 cm in height, and 10 cm in width.

Answers

Answer:
1,920 centimeters cubed

Explanation:
The formula for volume is Length x Width x Height (LxWxH). You can fill in the formula with the numbers to make 16x10x12. After you multiply the three numbers together you get 1,920 centimeters cubed (1,920 cm ³)

the largest number which divides 60 and 75 leaving remainders 8 and 10 respectively is

Answers

Final answer:

To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, the GCD (greatest common divisor) can be used. The GCD between 60 and 8 is 4, and the GCD between 75 and 10 is 5. Thus, the largest number that satisfies the conditions is 4.

Explanation:

To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, we can use the concept of the greatest common divisor (GCD). The GCD is the largest number that divides two or more numbers without leaving a remainder. To find the GCD, we can use the Euclidean algorithm.

First, we divide 60 by 8. The quotient is 7 and the remainder is 4. Then, we divide 8 by 4. The quotient is 2 and the remainder is 0. Since the remainder is 0, we stop here. Therefore, the GCD of 60 and 8 is 4.

Next, we divide 75 by 10. The quotient is 7 and the remainder is 5. Then, we divide 10 by 5. The quotient is 2 and the remainder is 0. Again, since the remainder is 0, we stop here. Therefore, the GCD of 75 and 10 is 5.

Therefore, the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively is 4.

The Zamoras rent a storage room that is 10 feet wide, 12 feet long, and

8 feet high. How many cube-shaped boxes 1 foot on each edge can the

Zamoras store in the room?

Answers

Answer:

960 cubes

Step-by-step explanation:

To find how many cubes of side 1 foot can be contained in the room, we have to find the volume of the storage room and then, divide by the volume of the cube.

The storage room is in the shape of a rectangular prism, hence, its volume is:

[tex]V = L * W * H[/tex]

where L = length

W = width

H = height

The dimensions of the storage room are:

10 feet wide, 12 feet long, and  8 feet high

Hence, its volume is:

[tex]V = 10 * 12 * 8 = 960 ft^3[/tex]

The volume of the cube of side 1 foot is:

[tex]V = S^3\\\\V = 1^3 = 1 ft^3[/tex]

Hence, the number of cubes that can be contained in the storage room is:

960 / 1 = 960 cubes

960 cubes can be stored in the storage room.

A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring? A circle has a radius of 2 feet. A larger circle is 1 foot larger than the smaller circle. 1 pi inches squared 3 pi inches squared 5 pi inches squared 12 pi inches squared

Answers

Answer:

it is option 2      3 Pi inches squared

Step-by-step explanation:

good job :)

The answer is option B) A larger circle is 1 foot larger than the smaller circle.

How do u find the area in a circle?

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

What is Problem Solving?

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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