A cylindrical can of tennis balls holds a stack of three tennis balls so that they touch the can at the top,bottom,and sides. The radius of each tennis ball is 1.25 inches. Find the volume inside the can that is not taken up by three tennis balls.round to the nearest tenths.

Answer:

7/8=14/16     5/24=38     7/12=21/36

5.) 4/7=8/14   6.) 16/4=4/1   7.) 8/10=40/50

8.) 16/20=8/10  9.) 32/8=8/2   10.) 7/9=21/27

1.) 8/5=4/2 1/2   2.) 3/7=4/28/3

3.) 4/3=3/9/4     4.) 2/3=4/6   5.) 4/8=5/2/5

6.) 6/3=4/2        7.) 15/8/3=5/8    8.) 9/2/3=6/4

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Answer: 2 11/24

Step-by-step explanation:

How many hours does the plane save?

Time taken for the train = 5 1/8

Time taken for the plane = 2 2/3

The number of hours saved will then be:

= 5 1/8 - 2 2/3

Let the lowest common multiple be 24

= 5 3/24 - 2 16/24

= 2 11/24

The number of hours saved by the plane will be 2 11/24

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

Answer:

Missing context,

Do you have a ratio I could work with?

Answer:

$589.33

Step-by-step explanation:

Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

PQ = [tex]\frac{1}{2}(EF)[/tex]

     = [tex]\frac{83}{2}[/tex]

     = 41.5 mm

PR = [tex]\frac{1}{2}(GF)[/tex]

     = [tex]\frac{110}{2}[/tex]

     = 55 mm

QR = [tex]\frac{1}{2}(GE)[/tex]

      = [tex]\frac{170}{2}[/tex]

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm  

Answer:

answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.

Answer:

X = 12.21

Step-by-step explanation:

Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.

(10)^2 + (7)^2 = C^2

100 + 49 = C^2

149 = C^2

12.2065 = C

Rounded to two decimal places, this makes X equal to 12.21.

The required value of x is 12.21 for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.

(10)² + (7)² = x²

100 + 49 = x²

149 = x²

x = √149

x = 12.2066

Rounded to two decimal places,

x = 12.21

Therefore, the required value of x is 12.21.

Learn more about Pythagoras's theorem here:

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Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

Answer:

First: 3 units Second: 7 units Third: 9 units

Step-by-step explanation:

19=x+(x+4)+3x

19=5x+4

15=5x

x=3

first side is 3 units

3+4=7

second side is 7 units

3*3=9

third side is 9 units

Answer:

Kitten is 15 seconds and dog is 10 seconds

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds  and puppy eats a sausage in 10 seconds.

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time

Puppy and kitten eats one sausage combined in 6 sec.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.

Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.

As Puppy and kitten eats one sausage combined in 6 sec.Thus,

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]

Let above equation is equation one.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus

[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]

Put this value of [tex]x[/tex] in the  the equation one to get the value of y. Therefore,

[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]

[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]

[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]

[tex]y=15[/tex]

Thus the kitten eats a sausage in 15 seconds.

Put the value of y in equation one. thus,

[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]

[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]

[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]

[tex]x=10[/tex]

Thus the puppy eats a sausage in 10 seconds.

Hence the kitten eats a sausage in 15 seconds  and  puppy eats a sausage in 10 seconds.

Learn more about the work and time here,

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Answer:

A. C.

Step-by-step explanation:

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

Answer:

x = 2/3 and y = 8/9

Step-by-step explanation:

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

Given

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence x = 2/3 and y = 8/9

Answer:

2-4=4+7=11 so that is the answer begginer

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

------------------

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

Answer:

$2.70

Step-by-step explanation:

to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70

If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7

You can find this answer by multiplying the percentage by the number (.45 x 6)

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{5}{10} \times \frac{2}{1} = \frac{10}{10} = 1[/tex]

[tex] \frac{1}{10} \times \frac{8}{3} = \frac{8}{30} = \frac{4}{15} [/tex]

[tex] \frac{2}{6} \times \frac{12}{6} = \frac{24}{36} = \frac{2}{3} [/tex]

[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]

[tex] \frac{1}{5} \times \frac{1}{1} = \frac{1}{5} [/tex]

Answer:

4

Step-by-step explanation:

the answer is 4

x=2 and the hypotonouse is equal to 2x

Answer:

i dont know lol

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It's going 2 up and 1 across.

Answer:

Domain: [0, 4]

Range: [0, 4]

Function? Yes

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.

Answer:

If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that,a =-5i and b = -4x

We have to find the value of a+b in a fully simplified form.

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

=a+b

= -5i-4x

Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

Learn more about the complex number here:

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