A fully inflated basketball has a radius of 12
centimeters. How many cubic centimeters of air does
your ball need to fully inflate?
Express your answer in terms of pi.
Then estimate your answer using 3.14 to approximate pi

Answers

Answer 1

The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.

How to get the volume of a sphere?

The volume of air that we need is equal to the volume of the basketball.

Remember that for a sphere of radius R, the volume is:

V = (4/3)*3.14*R^3

In this case, the radius is 12cm, replacing that we get:

V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3

Then, to fully inflate the ball, we need  7,234.56 cm^3 of air.

If you want to learn more about spheres, you can read:

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Related Questions

What is the volume of the solid figure?
Enter your answer in the box.

Solid is made up of 3 cuboids. First cuboid has length as 4 ft, height as 9 ft and width as 3 ft. Remaining 2 cuboids are placed on the right and left side of the 1st cuboid whose length as 1 ft, height as 1 ft and width as 3 ft.

Answers

Answer:

Volume of the solid = 2[1 x 1 x 3] + (4 x 3 x 9) = 114 ft³

Ans: 114 ft³

Step-by-step explanation:

Skylar made 25% of her free throws over the season. If she shot 200 free throws, how many did she make?

Answers

Answer:

50 Free Throws

Step-by-step explanation:

Answer: 50 Free Throws

25% = 0.25

0.25*200=50

skylar sucks at basketball

what are the formula to find the vertex of hexagon​

Answers

Answer:

the answer is 6

Step-by-step explanation:

there are 6 side you times the 6 with the area of an equilateral triangle so the area of hexagon = 6

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. a private contractor charges $75 per hour to develop a logo plus a $100 supply fee. which equation can be solved to determine x, the number of hours after which the costs would be the same? 50x 250 = 75x 100 50 250x = 75 100x 50x 100 = 75x 250 50 100x = 75 250x

Answers

The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100

How to create Linear Equations?

The general formula for the slope intercept form of an equation is;

y = mx + c

We are told that;

Charge per hour = $50

Ownership rights = $250

Thus, for the first company, total cost is;

y = 50x + 250

For the second company;

Total cost is;

y = 75x + 100

Thus, at same cost, we have;

50x + 250 = 75x + 100

Read more about Linear Equations at; https://brainly.com/question/1884491

Answer:

50x + 250 = 75x + 100

Step-by-step explanation:

I did the test

Convert 4 3/5 cups to pints.

Answers

Answer:

2.3 pints

Step-by-step explanation:

4.6 cups = 2.3 pints

Which is the value of `3/4 + 1/2 - 1/3`?

A
`2/3`

B
`7/12`

C
`11/12`

D
`3/3`

Answers

Hey there!

3/4 + 1/2 - 1/3

= 5/4 - 1/3

≈ 15/12 - 4/12

≈ 15 - 4 / 12 - 0

= 11/12


Therefore, your answer is: 11/12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

SALE
60% OFF!
The original price of a swing set is $940. How much will Carmen pay if she buys it
during the sale?

Answers

Answer:

Carmen will pay $376.

Step-by-step explanation:

Multiply $940 by 40% because 100% - 60% = 40%:

(40%)(940) = 0.4 * 940 = $376

Hello, i am currently having a hard time in school for a while if anybody can help me out it would be greatly appreciated

Answers

Answer:

36 m

Step-by-step explanation:

PT = x

This is True because of similar sides  [tex]\frac{8}{x} = \frac{7}{14}[/tex]

solve for x to get PT and you get 16

Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m

Answer:

36 m

Step-by-step explanation:

Line QS = (1/2) Line PT

8 m = (1/2) Line PT

Line PT = 16 m

Perimeter = 3 + 3 + 7 + 7 + 16

P = 36 m

I hope this helps!

Please help me I am stuck on this problem!!!!

Answers

Step-by-step explanation:

From less value to large value

30 32 33 33 35

Median is the center number = 33

Mean is (30+32+33+33+35)/5 = 32.6

The same value

pls help me thank you ​

Answers

Answer:

A no. is correct one

Step-by-step explanation:

Hope it will help you. and please mark me brilliant

Answer:

A

Step-by-step explanation:

12x+6x=90deg

90deg+90deg=180deg

5/6-1/8 Solve by finding a common denominator

A)30/48
B)34/48
C)38/48
D)42/48

Answers

Answer:

  B)  34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

__

The difference is ...

  [tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]

__

Additional comment

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

__

Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

What is the completely factored form of x4 8x2 – 9? (x 1)(x – 1)(x 3)(x 3) (x 1) (x minus 1) (x squared 9) (x2 – 1)(x 3)(x – 3) (x 1)(x 1)(x 3)(x 3)

Answers

The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is given as

x⁴ + 8x² – 9

Then by the factorization, we have

x⁴ + 8x² – 9

x⁴ + 9x² – x² – 9

x²(x² + 9) – 1(x² + 9)

(x² + 9)(x² – 1)

(x² + 9)(x – 1)(x + 1)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:b

Step-by-step explanation:

on edg 2022

what's the ans?
[tex]\bf 6(x+4)+1=x+5[/tex]

Answers

Answer:

x = -4

Step-by-step explanation:

6 (x + 4) + 1 = x + 5

6x + 24 + 1 = x + 5 (distributive property)

6x + 25 = x + 5

6x + 25 - x = 5

5x + 25 = 5

5x = 5 - 25

5x = -20

x = -20/5

x = -4

Hope it helps ⚜

Answer: x = -4

Step-by-step explanation:

[tex]6\left(x+4\right)+1=x+5[/tex]

[tex]$$Expand the parentheses[/tex]

[tex]6x+25=x+5[/tex]

[tex]\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}[/tex]

[tex]6x+25-25=x+5-25[/tex]

[tex]$$Simplify[/tex]

[tex]6x=x-20[/tex]

[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]

[tex]6x-x=x-20-x[/tex]

[tex]$$Simplify[/tex]

[tex]5x=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5x}{5}=\frac{-20}{5}[/tex]

[tex]$$Simplify[/tex]

[tex]x=-4[/tex]

PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN

The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?

Answers

Answer:

1296 cm³

Step-by-step explanation:

Given

Volume of original rectangular, V = 162 cm³V = lwh

Solving

Here it is mentioned the height is doubledTherefore, h is now 2hSubstitute in the volume formulaV = lw(2h)³V = 8 x lwhV = 8 x 162V = 1296 cm³

Answer:

1296 cm³

Original Rectangle:

height : H

volume : 162 cm³

New Rectangle:

height : 2H

volume : x   (let it be x)

Solve:

[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf x = 1296[/tex]

in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b

Answers

Answer:

∠a = 35°  ∠b = 65°

Step-by-step explanation:

a = 35 ° ( alternate interior angles )

( the line x is parallel to line yz hence we can consider XY as a transversal)

∠b + 35° + 80° = 180 ° ( angle sum property of triangle)

∠b+ 115° = 180°

∠b= 180 - 115

∠b = 65°

The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º

Answers

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

What is heptagon?

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

Learn more about Heptagon:

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Answer:

C. 124

Step-by-step explanation:

E2020

Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 5 years. What is the equation

Answers

A=P(1+r)^2
Principal as 650000
Rate = 4% or 0.04%
Time = 5 years
We are adding because as it is exponentially growth

650000(1+0.04)^5
= 790824.39

You roll a 6-sided die.
What is P(5)?
Write your answer as a fraction or whole number.
Submit
Work it out
Not feeling radunt? Th

Answers

Answer:

6*5=30= 30/100

Step-by-step explanation:

we will multiply 6* by 5 and after that we will do it fraction by doing that 30/100

What is the constant of proportionality?

Answers

Answer: y= 2x

Explanation: The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

The diagram shows a solid shape.
The shape is a hemisphere on top of a cylinder,

Volume of a sphere = 4/3pir^3
Pressure = force/area

The solid shape is placed on a table. The solid exerts a force of 4 Newtons on a table. The pressure on the table is 100 N/m. The height of the cylinder is 45 cm. Work out the total volume of the solid shape.
Please can someone help explain it. ​

Answers

Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]

How to determine the volume of the solid shape under pressure

In this question we must apply the concepts of pressure (P), in newtons per square meter, cross section area (A), in square meters, and volume (V), in cubic meters, to determine that  Let assume that the bottom experiments an uniform pressure due to a reaction force (F), in newtons, from the table, whose formula is described below:

P = F/A = 4 · F /(π · D²)     (1)

If we know that F = 4 N and P = 100 N/m², then the diameter of the cylinder is:

[tex]D = 2\cdot \sqrt{\frac{F}{\pi\cdot P} }[/tex]  

D ≈ 0.226 m²

And the volume of the solid shape is: (H = 0.45 m)

V = 0.25π · D² · H + (π/12) · D³

V = 0.25π · (0.226 m)² · (0.45 m) + (π/12) · (0.226 m)³

V ≈ 0.021 m³ (21073.745 cm³)

Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]

To learn more on pressure, we kindly invite to check this verified question: https://brainly.com/question/356585

Jesse planted several marigold seeds in his garden and, several weeks later, measured and recorded the height (in centimeters) of each plant. The data is organized in the frequency table shown. Of those planted, how many marigolds are less than 4 cm or more than 10 cm long?

A.) 1

B.) 5

C.) 2

D.) 3

Answers

Answer:

D. 3

Step-by-step explanation:

Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)

The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0

Answers

The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

The sum of a number and its square is 42.

Let x be the number. Then the square of that number will be x².

Then we have

x + x² = 42

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

a

Step-by-step explanation:

How many bars would the team need to purchase from each company in order for the total cost to be equal? 6 8 30 40

Answers

Answer:

It's 40

Step-by-step explanation: Fortunately for you I risked my test for you and ended up getting the correct answer of course^0^

Answer:

40

Step-by-step explanation:

Which expression is equivalent to side "8"?
2
d
8
3
45
1.
e
5
nv2
n3
O O OO
5
n
2n

Answers

Answer:

n

Step-by-step explanation:

Let d = n.

As both d and 8 are opposed by the same angle (45°) in the right triangle, they are equalTherefore, n = 8

Consider the function f(x) = x2 + 8x +1. Which equation shows function f written in vertex form?
f() = (x + 8)2 +1
f(x) = (x – 4)²+1
f(x) = (x – 8)² – 17
f()= (x +4)2 - 15​

Answers

Answer:

4th option

Step-by-step explanation:

f(x) = x² + 8x + 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 8x

f(x) = x² + 2(4)x + 16 - 16 + 1

    = (x + 4)² - 15 ← in vertex form

Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's base. Using surveyor's tools, Nick measured the angle between the ground and the highest point reached by the top blade and found it was 38.8°. He measured the angle between the ground and the lowest point of the top blade and found it was 30°. Determine and state a blade's length, x, to the nearest foot.

Answers

Using the slope concept, it is found that rhe blade's length is of 90 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the horizontal change is of 440 feet.

At the highest point, the angle is of 38º, hence:

[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]

[tex]h_1 = 440\tan{38^\circ}[/tex]

[tex]h_1 = 344[/tex]

At the lowetst point, the angle is of 30, hence:

[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]

[tex]h_2 = 440\tan{30^\circ}[/tex]

[tex]h_2 = 254[/tex]

Hence, the difference is:

[tex]h_2 - h_1 = 344 - 254 = 90[/tex]

The blade's length is of 90 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

Find a real life example of an inequality and explain why it represents an inequality

Answers

Answer:

Roads have speed limits

Step-by-step explanation:

Roads have speed limits. This is an inequality because it doesn't reflect an exact number, but rather a restriction on what is permissible or possible.

A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in the simplest form.

Answers

The total number of marbles is 12. Because:
5 red marbles + 3 yellow marbles + 4 blue marbles = 12 total marbles.
And there are 5 RED marbles in the special bag . . .
So the probability of a red marble would be 5/12. The reason why is because there are 5 TOTAL RED marbles and there are 12 TOTAL marbles.
Hope this helps!

PLEASE HELP!!!! Find the volume. Round to the nearest tenth, if necessary.

Answers

Answer:

[tex]63cm {}^{3} [/tex]

Step-by-step explanation:

the shape above is a cuboid and volume of a cuboid

= length x breath x height

=length=3cm

breath= 7cm

height= 3cm

volume= (3x7x3)cm =63 cm^3

× 10^-3 is 2,000 times greater than 1. 9 × 10-6. It is also times greater than 9. 5 × 10^-4

Answers

Answer:

1.9 × 10^-6.

Step-by-step explanation:

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