A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Answers

Answer 1

Answer:

10344.827586 basketballs

Step-by-step explanation:

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Step 1

We find the volume of the room

The room is rectangular in shape

Volume = Length × Width × Height

= 15ft × 20ft × 10ft

= 3000ft³

Step 2

Basket ball is spherical in shape

Volume of a sphere = 4/3πr³

Diameter = 9.6 inches

Radius = Diameter/2 = 9.6 /2 = 4.8 inches

Convert Radius from inches to ft

= 4.8inches/12

= 0.408333 feet

Volume of a sphere = 4/3 × π × 0.408333³

= 0.29 ft³

Step 3

3000 ÷ 0.29

10344.827586


Related Questions

How would someone Algebraically determine X-Y intercepts?

Answers

Answer:

y-int:  -6

x-int: -2/5 and 3

Step-by-step explanation:

you can find the y-intercept by substituting zero in for every 'x' in the equation;

y = 5(0) - 13(0) - 6

y = -6

to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:

(5x + 2)(x - 3)

now set each factor equal to zero and solve for 'x':

5x + 2 = 0

5x = -2

x = -2/5

x - 3 = 0

x = 3

please answer fast help me i have thgis math problem

Answers

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

Find the area of the nearest hundredth

Answers

Answer:

since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381

Step-by-step explanation:

A=14πd2=14 · π · 222 ≈ 381

i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.

Answers

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]

Answers

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Building A is 490 feet tall and Building B is 754 feet tall. If the angle of depression from the top of Building B to the top of Building A is 46°, how far apart are the buildings?

Answers

Answer: [tex]254.94\ ft[/tex]

Step-by-step explanation:

Given

Building A is 490 feet tall and building B is 754 ft tall.

If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]

Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]

If the difference between them is [tex]x[/tex]

From the figure, we can write

[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]

Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.

i want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1

Answers

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.

Example, the degree of 4x^8 is 8.

So the degree of 5x^4 is 4.

The degree of 3x^2 is 2.

The degree of 1 is 0 since there is no variable in this expression.

So the degree of 5 x^4 + 3 x^2 + 1 is 4.

Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?​

Answers

Answer:

Q1 --> 18.5

Step-by-step explanation:

foods that build up the immune system​

Answers

Answer:

1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.

Step-by-step explanation:

Answer:

Citrus fruits.

Red bell peppers.

Broccoli.

Garlic.

Ginger.

Spinach.

Yogurt.

Almonds.

Step-by-step explanation:


Question 4 pls thanks, I will mark Brainliest

Answers

the second one.

Step-by-step explanation:

sjisidjdododpdpddod

when i post these questions just solve them for my brother will ya plz he will give thanks to who ever does it

Answers

Answer:

1/4 or 5/20

Step-by-step explanation:

You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.

Complete the square to find
the vertex of this parabola.
x^2 - 4x + y + 10 = 0
([?], [ ])

Answers

Answer: 2,-6

Step-by-step explanation:

The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).

To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.

3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.

Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.

4. Factor the perfect square trinomial: (x - 2)² + y = -6.

The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ4

The complete question:

Complete the square to find

the vertex of this parabola.

x² - 4x + y + 10 = 0


what is the area of triangle EDF?

Answers

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

What are simultaneous equations ​

Answers

Answer:

Simultaneous equations are ​equations involving two or more unknowns that are to have the same values in each equation.

(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3​

Answers

Answer:

16 > 11

Step-by-step explanation:

7 + (16 - 7) = 3 + 8

7 + 9 = 3 + 8

16 = 3 + 8

16 ≠ 11

or

16 > 11

In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.

Answers

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Linda bought $87.95 worth of merchandise at an electronics store. She
returned a video game and received a refund of $27.79. Linda also had to
pay a restocking fee of $6.17 for the returned game. After returning the
video game, what was the total cost of Linda's purchase?

Answers

Answer:  She paid $66.33

Step-by-step explanation:

The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16.  She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.

Overall, she paid 66.33.

Answer:

It's $66.33

Step-by-step explanation:

87.95-27.79+6.17=66.33

She first bought electronics worth of $87.95.

Returned a video game and received a refund of $27.79.

=60.16 (87.95-27.79) | You have to subtract.

Had to pay a fee of $6.17 after returning the video game.

final amount - $66.33 (60.16+6.17) | You have to add the amount she now had after she got the refund and the restocking fee she had to pay.

what are the steps in 3-√x-2 =0 ? (to find x)

Answers

Answer:

x=1

Step-by-step explanation:

3-√x-2 =0

-√x=2-3

√x=1

x=1²=1

(NO LINKS OR else your be reported)
Pls help me if your good at math I’ll mark brainliest I

~couldn’t get the whole picture in:(~

A pair of parallel lines are translated.which of these could be the result?

Answers

Answer:

B

Step-by-step explanation:

What’s the answer? Down below is a image of the question

Answers

Answer:

link is virus dont search

Step-by-step explanation:

Also, I think it's #1. Hope this helps! UwU

IXL Q.12 PLS HELP I HAVE BEEN STUCK ON THIS ONE FOR SOME TIME.

Answers

Answer:

m∠1 = 100°

Step-by-step explanation:

Please help!! >w< It will be really appreciated :D

Peter makes $4500 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what did he make TOTAL for the month?

Answers

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

i need help please asap!!!!

Answers

Answer:

3.24 m²156 cm²

Step-by-step explanation:

1.

Area of a parallelogram = base × height

The area of the parallelogram

= 2.7 × 1.2

= 3.24 m²

2.

Try to divide the figure into 2 rectangles and find their areas.

The area of the larger rectangle

= 6 × (20-6)

= 84 cm²

The area of the smaller rectangle

= 12 × 6

= 72 cm²

The total area of the figure

= 84 + 72

= 156 cm²

Answer:

C) 3.24m^2

C) 156 cm^2

Step-by-step explanation:

The area of a parallelogram is base * height.

The base is 2.7m, while the height is 1.2m.

2.7*1.2 = 3.24m^2.

We can envision the area of the figure to be a rectangle with another rectangle cut out of it.

The total rectangle's area is 20*12, which equals 240cm^2.

The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.

Now we just have to subtract 84. from 240, which is simple. 240-84=156.

The answer is 156cm^2.

Solve the following quadratic equation
5х2 - 10x – 21 = 39​

Answers

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

WILL MAKE BRAINLIEST

Answers

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!

Will mark brainliest!!


Identify the solid from its net

triangular prism

rectangular prism

triangular pyramid

rectangular prism


Answers

Answer:

triangular pyramid

Step-by-step explanation:

solve for x in the diagram below​

Answers

Answer:

x=20

Step-by-step explanation:

3x+80+2x=180(being linear pair)

5x=180-80

x=100/5

x=20

3x=3*x  =3*20  =60

2x=2*x  =2*20  =40

Find the perimeter of the figure.

Answers

Answer:

26 meters

Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.

Answer:

[tex]26[/tex]

Step-by-step explanation:

perimeter= AB + BC + CE + DE + AD

AB= DE = 7

BC = 5

EC= 3

DE = 7

AD = 4

So, perimeter = 7+ 5+ 3+ 7+ 4

→ 12+ 10 +4

→ 24+ 4

→26

So, 26 is your answer

[tex]----------[/tex]

hope it helps..

have a great day!!

I need m<1 and m<2 so if u know pls help

Answers

Answer is 54 36

Step by step exploration

DA || CB => m<1= 54
Diagonals bisect each other perpendicularly => m<2=90-54=36

Find the length of the third side. If necessary, round to the nearest tenth.2 5

Answers

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

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