An amusement park has a two merry-go-rounds. The first merry-go-round has a circular platform with a diameter of 13 meters. The second merry-go-round has a circular platform with a diameter of 19 meters. What is the difference between the areas of the larger and smaller merry-go-round’s platform?

Answers

Answer 1

Answer:

150.72

Step-by-step explanation:

Area of circle formula is r²π

Do find radius you do d/2, diameter/2. 13/2= 6.5

6.5 * 6.5 = 42.25

π  is also known as 3.14

42.25 * 3.14 = 132.665

That is the area of the smaller one.

For the larger one, 19/2 = 9.5

9.5 * 9.5 = 90.25

90.25 * 3.14= 283.385

Now you subtract both of them and the difference is 150.72.

Hope this helps !!

-Ketifa

Answer 2

Answer

150.72 m2

Step-by-step explanation:

Find the radius of the larger

merry-go-round.

19^2 = 9.5

Substitute 9.5 for r in the formula for the

area of a circle.

A-n • 9.52

= 71 -90.25

- 283.385

Find the radius of the smaller

merry-go-round.

13-^-2-6.5

Substitute 6.5 for r in the formula for the

area of a circle.

A~n • 6.52

= n - 42.25

-132.665

Subtract the area of the smaller merry go-round from the area of the larger

merry-go-round.

283.385 - 132.665 = 150.72


Related Questions

Theater tickets sold for $7.50 on
the main floor and $, in the
balcony. The total revenue was
$3250, and there were 100 more
main-floor tickets sold than
balcony tickets. Find the number
of each type of ticket sold.
(in Substitution method)
Cant figure the work out :/

Answers

Let x = number of main floor tickets sold
Let y = number of balcony tickets sold

x + y = total tickets sold
7.50x + 5y = total revenue

x + y = 250
7.50x + 5y = 3250

Substitute x + y = 250 into 7.50x + 5y = 3250
7.50(250) + 5y = 3250
1875 + 5y = 3250

Subtract 1875 from both sides
5y = 1375

Divide both sides by 5
y = 275

Substitute y = 275 into x + y = 250
x + 275 = 250
x = -25

Since x cannot be negative, the equation is not valid. Therefore, the number of tickets sold cannot be determined.

Hope this helped!!! :)

13. The number of pictures your printer
can print are shown in the table. Find
the rate in pictures per minute.
Minutes 2 4 6
8
Pictures 16 32 48 64
15.
16

Answers

Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.

For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.

Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute

And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.

And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.

From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.

The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.

Step-by-step explanation:

ITEMS
.
Paula purchased 8 erasers for $100.00. Calculate the cost of 12 erasers.​

Answers

Answer:

$150

Step-by-step explanation:

100/8=12.5

12.5*12=150

100 divided by 8 is 12.50 so we multiply 12.50 by 12 and your answer will be $150.00.

1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5

Answers

Answer:

1. 12x^2 +2xy

Step-by-step explanation:

1. 12x^2 +2xy

2. 21ab^2 +35ab

3. w^2+15w+ 14

4. m^2-12m+20

5. 2k^2+5k-3

6. -r^2-5r-6

7. 8y^2+26y+15

8. -2d^2-7d-5

9. (h+6)(h-4)=0

10. s^2-7s+12=0

11. -2d^2-7d-5

i need help on both sections PLEASE!!!

Answers

Answer:

Step-by-step explanation:

a.3x-2

b.3x+2

c.3x-2

d.3x-2

so. the answer are a, c, d equivalent to 3x-2

At the book sale, all books cost less than $5. What is the most expensive a book could be? Write an inequality to represent the costs of books at the sale.

Answers

Answer:

x<5

Step-by-step explanation:

mark me brainliest

All book are LESS THAN 5 dollars. Therefore all prices (x) have to be less that 5 hence x<5

Answer:

The most expensive a book could be is $4.99

The inequality to represent the costs of books at the sale is c < 5

The table shows a bacterial population y after x days


days, X 0,1,2,3,4

Population,8,24,72,216,648


Write an exponential function that represents the population


Y=

Answers

The exponential function that represents the population is y = a*3^x.

What is exponential function?

The formula for exponential functions is y = ab^x, where b is the constant ratio and a  is the starting point. Observe that as the value of x increases by a constant amount, the value of y increases by a common ratio by looking at a table of ordered pairs. All exponential functions share this trait.

We have to find the exponential function for the given table.

Since,

Exponential function = ab^x

where,

a is the starting point

b is the common ratio.

Here,

Common ratio = 24/8 = 72/24 = 216/72 = 648/216 = 3

So, the function becomes,

Exponential function = y = a*3^x

Hence, the exponential function that represents the population is

y = a*3^x.

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Sharon and Sue are making muffins. Sharon uses 3 cups of milk, and Sue uses 1 pint of milk. Who uses the greater amount of milk? Explain.

Answers

answer:

Sharon used more milk because 3 cups equal 1.5 (one and a half) pints.

Detailed answer:

1 cup equals 0.5 pints or half of a pint. So if you take 0.5 and multiply it by 3 you get 1.5 and that is the amount of pints that Sharon uses but Sue uses 1 pint or 2 cups. so 1.5 pints is grater than 1 pint by 0.5

(sorry if this was not so clear i am not that good at explaining things, also i hope this helps and you get a good score on whatever you are doing.)

What is a 3 variable equation called?

Answers

Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

what is linear equation ?

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand

Answers

Answer:

[tex]x \approx 729[/tex]

Step-by-step explanation:

Given

Let the number be x

So:

[tex]x + 10\sqrt x = 1000[/tex]

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

[tex]x = 625[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]625 + 10 *\sqrt{625}[/tex]

Take the square root of 625

[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]

[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]

[tex]625 + 10 *\sqrt{625} = 875[/tex]

Let

[tex]x = 729[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]729 + 10 * \sqrt{729}[/tex]

Take the square root of 729

[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]

[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]

[tex]729 + 10 * \sqrt{729} = 999[/tex]

At this point, we can conclude that x is approximately 729 because

[tex]999 \approx 1000[/tex]

So:

[tex]x \approx 729[/tex]

I need help I been asking for hours pls help

Answers

Answer:

419 ft

Step-by-step explanation:

1063 ft is about 324002.4 mm

324002.4/477 to get the scale ratio. Which is 679.25:1

I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.

188*679.25=127699mm for one side.

Convert that back to ft and you get 418.959 which would just be 419 ft

Answer:

419 ft

Step-by-step explanation:

convert ft to mm: 1063 ft ≈ 324002.4 mm (I just used g00gle)

324002.4/477 ≈ 679.25, the real Eiffel tower is ≈ 679.25 times larger

188 x 679.25 = 127699 mm

convert mm to ft: 127699 mm ≈ 418.96 ft ≈ 419 ft

Decide if the following biconditional statement
is true or false:
An angle is a right angle if and only if the angle
measures 90 degrees.
True
False

Answers

True
Explanation: right angles are 90º

For the function Y= X +4 what is the output value if three is the input value

Answers

Answer: 7

Step-by-step explanation:

1. You need to know that the input value means the x-value, which means x = 3.

2. Input 3 in the function

3. Solve 3+4

4. 3+4 = 7

Answer:

put y=4 then four comes with- and 4-3=2

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 20°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then

? = [tex]cos^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 20° ( to the nearest degree )

2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.​

Answers

Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Define Fraction.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

For the percentage of people who prefer other newspapers are:

100% - 50% - 30% = 20%

So, 20% of the people in Salmiya prefer other newspapers.

Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):

Arab Times: 50% * 50000 = 25000 people

Wataniya: 30% * 50000 = 15000 people

Other newspapers: 20% * 50000 = 10000 people

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Pls help
Solve by substitution.
6x +Зу = 15
x – 2y = 10

Answers

Answer:

y=5 , x= 20

Step-by-step explanation:

6x + 3y = 15

x - 2y = 10

make x subject of the formula in equation two

therefore x = 10 - 2y

substitute the value of x in equation one

6 ( 10 - 2y) + 3y = 15

60 - 12y + 3y = 15

-9y = -45

y = 5 and x = 20

Answer:

{x,y} = {4,-9}

Step-by-step explanation:

// Solve equation [1] for the variable  y

 [1]    y = -6x + 15

// Plug this in for variable  y  in equation [2]

  [2]    -7x - 2•(-6x+15) = -10

  [2]    5x = 20

// Solve equation [2] for the variable  x

  [2]    5x = 20

  [2]    x = 4

// By now we know this much :

   x = 4

   y = -6x+15

// Use the  x  value to solve for  y

   y = -6(4)+15 = -9

Solution :

{x,y} = {4,-9}

passes through (6,6) and (-2,2)

Answers

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!

2
The scores of seven people playing a card game are listed below.
56, 103, 114, 80, 141, 68, 150
What is the interquartile range of the scores?
OA. 35
OB. 73
O C. 102
OD. 94

Answers

Answer:

B. 73

Step-by-step explanation:

An explanation is in the picture if you need it.

Last week, a dairy farm produced n kg of cheese.
The dairy farm also produced 30 kg more yoghurt than cheese and 4 times
as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last
week.
Write and solve an inequality to work out the possible values of n.

Answers

Answer:

The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.

The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.

Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:

4n > 30 + n

Subtracting n from both sides gives us:

3n > 30

Dividing both sides by 3 gives us:

n > 10

Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.

Step-by-step explanation:

z+9 < 24
solve for z
pls help

Answers

Answer:

z < 15

Step-by-step explanation:

z + 9 < 24

z + 9 - 9 < 24 - 9

z < 15

Answer:

z < 15

Step-by-step explanation:

To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.

If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15

A basketball is shipped in a cube-shaped box. The basketball just want touches the sides of the box. What is the radius of the ball? What is the volume?

Answers

Answer:

The answer is "4.8 and 463.011"

Step-by-step explanation:

Please find the complete question in the attached file.

Given:

side[tex]= 9.6 \ in\\\\[/tex]

let the radius of the ball

[tex]2r=9.6 \ in\\\\r=\frac{9.6}{2}\\\\r= 4.8 \ in\\\\[/tex]  

The radius of the basketball [tex]= 4.8 \ in\\\\[/tex]

The volume of the basketball[tex]=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14 \times 4.8^3= 463.011 \ in^3[/tex]

solve for x round to the nearest tenth. hurry!!!

Answers

Answer:

Law of cosines:

[tex] {x}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) \\ = {12}^{2} + {15}^{2} - 2(12)(15) \cos(144) \\ = 144 + 225 - 360( - 0.809) \\ = 660.246 \\ x = 25.7[/tex]

Hello. Need some help: (put all answers into one comment)

1. If you add 5 to me and then divide by 9, you get 3. what number am I?

2. Equation: 21 ÷ 7 = 3. Write a related multiplication sentence.

3. During Their football season, the Kickerton Kangaroos had a combined total of 16 fumbles. each of the 8 players had the same amount of fumbles. how many fumbles did each player have?

4. If you multiply me by 7, then subtract 2, and then divide by 6, you get 9. what number am I?

Answers

Answer:

1. 22

2. 7*3=21

3. 2

4. 8

Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)

1. Using algebra I put the missing variable as x.

"add 5 to me" is x+5.

"divide by 9, you get 3"

[tex]\frac{x+5}{9}[/tex] = 3

Begin solving by multiplying 9 to the 3 on the other side

x+5 = 27

Subtract 5 to get x by itself

x = 22

2. An equivalent multiplication sentence can be found using algebra.  

21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]

Using algebra we know if we multiply 7 onto both sides we end up with

7*3=21

3.

Combined total of 16 fumbles

8 players

Same amount of fumbles

How many fumbles per player?

I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.

4. Algebra

[tex]\frac{x * 7 - 2}{6} =9[/tex]

First is multiplication: x*7 = 7x

[tex]\frac{7x - 2}{6} =9[/tex]

Then division: Multiply the 6 over because we don't like fractions

[tex]{7x - 2} = 54[/tex]

Next we add the 2 over

[tex]{7x } = 56[/tex]

Then divide by 7 to solve for x

x=8

1- should be 22, 22+5•27/3=9

Is -3 less than or greater then -8

Answers

-3 is greater than -8 :)

answer:

yes, -3 is greater than -8

explanation:

-3 is closer to the 0 on a number line making it greater

hope this helped!

Which statement best describes the function?

A. The function is negative when x<0

B.the function is negative when x<0 and when x>0

C. The function is never negative

D. The function is negative when x>0

Answers

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

What is function?

Each x value in the domain has one but only one y value

range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.

Here,

It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.

The graph is positive if it is located above the x-axis.

A negative graph is one that is located below the x-axis.

The graph of the function in this issue is shown by the red line, and:

The function is negative for x values less than 0 since it is below the x-axis.

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

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The radius of a circle is 7 inches. What is the circle's circumference?

Answers

Answer:

43.98

Step-by-step explanation:

have a nice day :)

43.96 = C

2 x 3.14 x 7

60 POINTS PLS HELP!!

8 to the 3rd power over 8 rewritten using using a single positive exponent [tex]\frac{8^{3} }{8}[/tex]

Answers

Answer:

it is 8^2.

Step-by-step explanation:

8 ^ 3 = 8 x 8 x 8

8^3/8 = 8 x 8 x 8 / 8

you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2

Answer:

Solution given:

single positive exponent

[tex]\frac{8^{3} }{8}=8^{3-1}=8² [/tex]

single positive exponent is 8².

Note:

we have

[tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]

Can u sovle 32^3/5 for me please

Answers

Answer:

6553.6

Step-by-step explanation:

32^3 = 32 x 32 x 32 = 32768

32768 / 5 = 6553.6

Answer:

6,553.6

Step-by-step explanation:

32^3/5=6,553.6

Hope this helped!!

Bella was here :)

Trei stilouri și patru creioane costă 35 lei, iar cinci stilouri și două creioane costă 49 lei. Ce rest va primi Maria de la 100 lei , dacă va cumpăra 4 stilouri și 5 creioane?

Answers

Answer:

english?

Step-by-step explanation:

Clare Lee is paid a basic wage of $8.00per hour for a 4O-hour week and $9.60 per hour for overtime work. Last week Clare worked 48 hours. What was her total wage for the week

Answers

396.80 bc 40 times 8 and since she worked over time 8 times 9.60 so add those up and you get 396.80 as her total wage
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