Please hurry I will mark you the brainliest

Given:

Diameter of the tennis ball = 14 inches.

Three tennis balls are fit in a cylindrical tennis ball cane.

To find:

The volume of air left between the balls and the cane​.

Solution:

Diameter of the tennis ball = 14 inches.

Radius of the tennis ball = 7 inches

Radius of tennis ball is equal to radius of cane. So,

Radius of the cane = 7 inches

Height of cane is:

[tex]3\times 14=42[/tex] inches

Volume of a ball is:

[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]

Where, r is the radius of the ball.

So, the volume of 3 ball is:

[tex]V_2=3\times V_1[/tex]

[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]

[tex]V_2=4312[/tex]

Volume of the cane is:

[tex]V_3=\pi r^2h[/tex]

Where, r is the radius of the cane and h is the height of the cane.

[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]

[tex]V_3=6468[/tex]

Now, the volume of air left between the balls and the cane​ is:

[tex]V=V_3-V_2[/tex]

[tex]V=6468-4312[/tex]

[tex]V=2156[/tex]

Therefore, the volume of air left between the balls and the cane​ is 2156 cubic inches.

Answer:

2, 3, 5, 7, 11

Step-by-step explanation:

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Answer:

2, 3, 5, 7, 11

Step-by-step explanation:

just list all the numbers that are only divisible by itself and 1

1 is just not a prime number

not 4 because it has factors 2x2 as well

not 6 because it has factors 3x2

not 8 because it has factors 4x2

not 9 because it has factors 3x3

Answer:

true

Step-by-step explanation:

:)

Hi there!

[tex]\large\boxed{0, 3}[/tex]

Find the y-intercept by substituting in 0 for x:

f(0) = 0² + 2(0) + 3

Simplify:

f(0) = 3

Answer:

0,3

hope this helped !!!

Step-by-step explanation:

Answer:

Exact Form:

3√3−3√155+12√333-3155+123

Decimal Form:

−34.57898412…

Answer:

392.7 cubic centimeters. Hope that helps :)

Step-by-step explanation:

Answer:

63.4

Step-by-step explanation:

Area of arc is (pi*(11)^2*(60/360))=63.4

Answer:

Hello,

3.85

Step-by-step explanation:

[tex]Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75[/tex]

Answer:

(4 + 8) * 6  - 2  

Step-by-step explanation:

P - Parenthesis

E - Exponent

D - Division

M = Multiplication

A -  Addition

S - subtraction

(4 + 8) * 6  - 2  = 12 *6 - 2    

                        = 72 - 2

                        = 70

Answer:

d.) ( 4 + 8 ) × 6 - 2

Step-by-step explanation:

( 4 + 8 ) × 6 - 2

Add 4 and 8.

Multiply; 12 by 6.

Subtract 2 from 72.

Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount

Answer:

Step-by-step explanation:

Answer:

katie has 6 stickers left

Answer:

its 380

(TRUST ME)

Step-by-step explanation:

Step-by-step explanation

The orange machine, the very end of the shovel part. That line is a slope. The middle part of the scooper could also be a slope. The very beginng part of the scooper is also a slope.  The bottom part of the scooper is also a slope. The bottom part at the end of the scooper could also be slope.

Answer:

1

Step-by-step explanation:

As can be seen, for h(t) where t is a multiple of 6, we get -6. Since 150 is a multiple of 6, 153 is 3 more and since the graph visually repeats every 6 units, we can see that h(t) when t is a (multiple of 6) + 3 = 1

Thus h(153)=1

Answer:

the formula for the area of a trapezoid is area =(top + bottom)/2 x height

using the given information we can solve

for x:

234 = (20+32)/2 X

234 = 52/2 X

234 = 26 X

X=234/26

X= 9 units

Answer:

y = x

Step-by-step explanation:

So what we're going to want to do here is use the slope formula and the general equation y = mx + b.

Let's start.

The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.

Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.

With our slope 1, the answer is just y = x. Very simple equation.

Hope this helped!

Answer:

-1

Step-by-step explanation:

answer is -1.

............

-1

-1 is the answer to the question

Answered by Gauthmath must click thanks and mark brainliest

i think the question is incomplete.Then what happened???? And what to find???

Answer:

12/59

Step-by-step explanation:

-1/2x3/5÷(-59/40)

-3/10÷(-59/40)

-3/10*-(40/59)

120/590

12/59

Answer:

[tex]Domain = (-\infty,\infty)[/tex]

Step-by-step explanation:

The function is not given; So, I will answer this question using

[tex]f(x) = 1.6x - 2[/tex]

Required

The domain

In [tex]f(x) = 1.6x - 2[/tex],

- there is no fraction where x is in the denominator

- there is no root where x is in the radicand

This means that, there is no restriction on x.

Hence, the domain is:

[tex]Domain = (-\infty,\infty)[/tex]

Answer:

A. (negative infinity, infinity)

Step-by-step explanation:

Answer:

13°

Step-by-step explanation:

Cosine formula: a² = b² + c² - 2(b)(c)cos(a)

8² = 21² + 14² - 2(21)(14)cos(x)

64 = 441 + 196 - 588cos(x)

Bring constants to one side

64 = 441 + 196 - 588cos(x)

-441  -441  -196

-196

-573 = -588cos(x)

Divide by the coefficient

-573/-588 = -588cos(x)/-588

cos(x) = 573/588

To find x you need to use arcsin or cos^-1

x = arccos(573/588) = 12.969°

Answer:

[tex]\displaystyle 13° = m∠X[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X \\ \\ \frac{-8^2 + 14^2 + 21^2}{2[14][21]} = cos∠X → \frac{-64 + 196 + 441}{588} = cos∠X → 0,9744897959... = cos∠X \\ \\ 12,969468847...° = cos^{-1}\:0,9744897959... \\ \\ 13° ≈ 12,969468847...°[/tex]

As you can see, the inverse function MUST be used towards the end of your result, or elce you will throw it off!

I am joyous to assist you at any time.

For red we could use the variable r and G for green, and c for clear.

Red is G+5

G is R-5

C is Rx3

This is like a guessing Game, you guess and check.

R=36

G=31

C=108

36+31+108=175

Mark Me Brainliest pls  I lost 4 brain cells doing this TwT

Answer:

28.26

Step-by-step explanation:

A = (3.14)(3)^2

A = 3.14 * 9

A = 28.26

Answer:

28.26

Step-by-step explanation:

The area of a circle is

A = pi r^2  where r is the radius

A = 3.14 ( 3)^2

A = 3.14 *9

28.26

Answer:

Elimination

Step-by-step explanation:

Elimination is a process which involves complete removal of one of the variables in a given equation, so as to first determine the value of the other variable.

For example in solving a simultaneous equation, applying the elimination method is easily understood, straight forward and simple to use. Once the logic behind the process is well understood and followed, errors can easily be avoided.

Therefore my favorite way of solving an equation would be by applying the elimination method because it is easy and direct to apply.

Answer:

You Have to Find Answer Yourself

Step-by-step explanation:

By This - B+D+C = 130°-20°+E

Answer:

110 degrees

Step-by-step explanation:

when continuing line DC down to line AE, it creates a triangle with the intersection point at AE, C and E.

the angles in that triangle are

E (20 degrees)

the internal angle at C = 180 - 130 = 50 degrees

and the angle at the interception point at AE.

since CD is parallel to AB, that angle is equal to x.

the sum of all angles in a triangle is airways 180 degrees.

therefore this angle is

180 - 20 - 50 = 110 degrees = x

Answer:

22.5 m/h and 7.5 m/h

Step-by-step explanation:

Let's said that x is the speed of the faster car. That means the slower one must have the speed of x/3.

x/3 * 3 + 45 = x * 3

x + 45 = 3x

45 = 3x - x

45 = 2x

x = 22.5

x/3 = 7.5

Answer:

x = 9

Step-by-step explanation:

Given

5x - 31 = 23 - x ( add x to both sides )

6x - 31 = 23 ( add 31 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

Answer: X = 9

Step-by-step explanation: basically you solve it just like any other algebra equation. The only difference is that you have x’s on both sides. You have to move one of them over. I move the x to the right and I added it to the left side. 5x plus x is 6x. ( in case you didn’t already know an x never stands alone when you see one alone it always has an imaginary 1 beside it.) after I did that I tried to isolate 6x so I added 31 to 23. 31 plus 23 equals 54. I then had the equation 6x=54. The next thing I wanted to do was to isolate the x. I then dived 6 on both sides and got x= 9

Answer:

Step-by-step explanation:

[tex](x - 1) \: and \: (x - 5)[/tex]

I hope that is useful for you :)

The factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Factor of a quadratic equation is any monomial or binomial which divides the quadratic equation without leaving any remainder.

Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.

The solutions of a quadratic equation represent the values of x that make the equation true. And the solutions to any equation are the x-intercepts of that equation.

According to the given question

We have a graph of a quadratic equation and x intercepts -1 and -5.

⇒ we have two points (-1,0) and (-5,0)

⇒ -1 and -5 will be the solution of the quadratic function.

⇒ x = -1  and x = -5

⇒ x+ 1= 0 and x + 5 = 0

or -x -1 = 0 and x+5 = 0

Therefore, the factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Learn more about the factors of a quadratic function here:

https://brainly.com/question/19525535

#SPJ2

Answer:

DC =7

Step-by-step explanation:

if ΔABC ≅ΔDBC then the corresponding sides are

AB = DB = 10

AC = DC = 7

See attachment