Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2

inches. The diameter of a golf ball is 1.68 inches.

Find the amount of space within the square prism not taken up by the golf balls.

6 in

2 in

2 in

O 21.5 in

O 7.4 in

O 16.6 in

O 31.4 in

Answers

Answer 1

Answer:

16.6 in

Step-by-step explanation:

Amount of space left = volume of prism - volume of 3 golf balls

volume of prism = base area x height

base area = area of a square  = length² = 2² = 4

volume = 4 x 6 = 24

Volume of a sphere = 4/3 x pi x r^3

r = 1.68/2 = 0.84

4/3 x 3.14 x 0.84^3 = 2.48

volume of 3 balls = 2.48 x 3 =


Related Questions

plzz help me with the correct ans find x ​

Answers

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

The answer is 15. Because yes

A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5

Answers

Answer:

[tex]9th=31[/tex]

Step-by-step explanation:

From the question we are told that:

Seventh term [tex]7th= 21[/tex]

Common difference [tex]d= 5[/tex]

Generally Equation for seventh term

[tex]7th=a+(7-1)d[/tex]

Therefore the  First Term is given as

[tex]a=7th-(7-1)d[/tex]

[tex]a=21-6*5\\a=-9[/tex]

Generally the equation for 9th term is mathematically given by

[tex]9th=a+8d[/tex]

[tex]9th=-9+8(5)[/tex]

[tex]9th=31[/tex]

A roof top garden in the city measures 6 2/3 yards by 4 1/8 yards. Find the area of the roof top garden.

Answers

Answer:

27.5 square yards.

Step-by-step explanation:

Multiply the measures of the length and width to find the area. So 6 2/3 * 4 1/8 = 27.5

What time will it be in 3/4 hour? Answer for me please x

Answers

Answer:

9:25

hope this helps

have a good day ;)

Step-by-step explanation:

3/4 of an hour=45 minutes so add 8:40 + 45 min

Answer:

9 : 25

Step-by-step explanation:

It shows 8 : 40

After 3/4 hour or 45 minutes.

8 : 40 + 20 minutes + 25 minutes

9 : 00 + 25 minutes = 9 : 25

Answer my question pls

Answers

Answer:

the answer is 20

Step-by-step explanation:

5×12 = 60

which means he had 60 points feom hitting the target

60-20=40

therefor he lost 40 points miing the target

40÷2=20

therefor he missed the target 20 times


Please HELP ME it’s my test I need to turn IT IN. In A COUPLE MIN

Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by

A. cooking the fruit

B.dipping the fruit in a juice rich in vitamin C

C. freezing the fruit

D.dipping the fruit in chocolate

Answers

Answer:d

Step-by-step explanation:

The answer is B. dipping the fruit in a juice rich vitamin C because the acid slows down enzymatic browning.

Hope this helps :)

hi can somebody plz help me ​

Answers

Answer:Its the last one to the left up

Step-by-step explanation:

Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.

Answers

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Square root of 17 Is a number between

Answers

Answer:

D

Step-by-step explanation:

[tex]\sqrt{17} = 4.123[/tex]

So we can see that 4.123 lie between 4 and 5

Therefore, option (D) is correct

help me pls ill give brainliest and no links pls:)!<3

Answers

As both the angles are linear, their sum is equal to 180°

i.e m<EFG+m<GFH = 180

=>( 2n+17 )+(4n+37) = 180

=> 6n + 54 = 180

=> 6n = 180-54

=>6n =126

=> n= 21

m<EFG = 2(21)+17 = 59°

m<GFH =4(21)+37 =121°

Given: ∠EFG and ∠GFH are a linear pair

We know that: Sum of the angles which make a linear pair should be equal to 180°

⇒  ∠EFG + ∠GFH = 180°

Given :

∠EFG = 2n + 17

∠GFH = 4n + 37

⇒  2n + 17 + 4n + 37 = 180°

⇒  6n + 54 = 180°

⇒  6n = 180 - 54

⇒  6n = 126

⇒  n = 21°

Substituting the value of n in ∠EFG and ∠GFH, We get:

⇒  ∠EFG = 2(21) + 17 = (42 + 17) = 59°

⇒  ∠GFH = 4(21) + 37 = (84 + 37) = 121°

Simplify 6(x + 3).

6x + 3
x + 18
6x + 18
6x + 9

Answers

Answer:

the answer of this question is = 6x + 18

what is the equation for a line that passes through the points (5,-3) and (-10,15)

Answers

Answer:

7 is ur answer

Step-by-step explanation:

The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.

Answers

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

[tex]f(n)=3n[/tex]

Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].

I need help with this it's urgent!

Answers

Answer:

I looks like it's anwser D

Answer:

$460.80

Step-by-step explanation:

with we us our formula equation I=prt we now cam solve for our depreciated value

with we substitute our varibles with the correct numerals we now get

I= 960 x 0.12 x 4

we turn our 12% into a decimal to be Simplified into our equation.

If we now solve we will get

I = 960 x 0.12 x 4

I = 460.8

This box is packed with cubes that measure one cubic foot.

Enter the volume of the box in cubic feet. _____ cubic feet.

Answers

Answer:

The answer is 84 cubic feet.

Step-by-step explanation:

3 x 4 = 12.  12 x 6 = 72. 72 + 12 = 84

Ranking correct answer brainliest !

Answers

Answer:

a linear pair

Step-by-step explanation:

Answer:

It’s B

Step-by-step explanation:

Linear pairs means that it equals up to 180 degrees which we can see with HOB and TOB

In the spinner below what is the probability of landing on 6? (A p e x)
A. 6/10
B. 1/10
C. 1/6
D. 10/6

Answers

Answer:

1/10

Step-by-step explanation:

There're 10 probabilities

so 100 ÷ 10 = 10

so 10% = [tex]\frac{1}{10}[/tex]

In a group of 120 pupils , 80 can play drums and 25 play piano . How many pupils can play both instruments if there are 3 pupils who can play neither.

Answers

Answer:

12 pupils

Step-by-step explanation:

Number of pupils can play either instrument:

120 - 3 = 117

Number of those can play both:

117 - (80 + 25) = 12

Find the length of the third side. If necessary, round to the nearest tenth. 24 28

Answers

Answer I believe it would be 32

Step-by-step explanation:if it’s 24, 28 it should be 32

10^7 is how many times as large as 3.10^3

Answers

Answer:

333831

Step-by-step explanation:

Answer:

10^7 is 10,000,000

3 x 10^3 is 3000

Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000

& you’ll get 3333.3

Step-by-step explanation:

Please help me solve 5 and 6 for my homework

Answers

Answer:

(5) The perpendicular height of the triangle is 8.48 mm.

(6) The 1184.86 cm far up the wall the ladder reach.

Step-by-step explanation:

Part (5):

When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.

The figures is shown below.

In ΔABC,

CB = 6 mm

So,

CD = BD = 3 mm

Now calculating the perpendicular height of the triangle.

Using Pythagoras theorem in ΔADC:

[tex](AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm[/tex]

Thus, the perpendicular height of the triangle is 8.48 mm.

Part (6):

The figure is shown below.

Converting meter to centimeter:

1 m = 100 cm

So,

12 m = 1200 cm

Using Pythagoras theorem in ΔXYZ:

[tex](XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm[/tex]

Thus, 1184.86 cm far up the wall the ladder reach.

Find the values of x and y. Leave answer in simplest radical form

Answers

Answer:

x = 4/√2

y = 4/√2

Step-by-step explanation:

Hypotenuse = 4

θ = 45°

x = Opposite side

y = Adjacent Side

a) Solving for x = Opposite side

We solve using Trigonometry function of Sine

sin θ = Opposite/Hypotenuse

sin 45 = x/4

Cross Multiply

x = sin 45 × 4

Note that : sin 45 = 1/√2

x = 1/√2 × 4

x = 4/√2

b) Solving for y

We solve using Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

cos 45 = x/4

Cross Multiply

x = cos 45 × 4

Note that : cos 45 = 1/√2

x = 1/√2 × 4

y = 4/√2

Lol! Quick question By the way this question is really simple! 3 × [(27 − 6) − (6 + 7)]

Answers

Answer:

24

Step-by-step explanation:

use a calculator for these type of problems next time!

the answer to this equation would be 24x

What is the solution to the inequality 5.25 - b 2 6.52
+
+→
5
-5 -4 -3 -2 -1 0
1
2
3
4
OH ++
-5 -4 -3 -2 -1 0 1 2
+
3
+
4
5
OA
-5 -4 -3 -2 -1 0 1
2
3 4 5
-5 -4 -3 -2 -1 0 1 2 3 3 4 4 5

Answers

Answer:

1st option

Step-by-step explanation:

Solving the inequality

5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )

- b ≥ 1.25

Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.

b ≤ - 1.25

Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.

The solution is represented on the first diagram

A positive
B negative
C none
D multiple

Answers

the answer is positive because its is going in the positive column

Answer:

postive

Step-by-step explanation:

positive collums so it's positive

3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.

y = -3x + 4

6x + 2y - 8 = 0

Answers

Answer:

I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one

Step-by-step explanation:

y = -3x+4

When

___x__l  _y____

   0          l    4

   1           l     1

   2          l     -2

   3          l     -5

   4          l     -8

Which of the following is/are equal to 3.4?i)314ii)5115iii)3410

Answers

None of them I think

A career-placement test eliminates a profession when a person receives a score of 18 or less. The score is equal to the formula 2x - 3y, where x is the number of positive responses and y is the number of negative responses. Which graph represents the range of test results that would be eliminated under this scenario (all points may not apply to the scenario)?

Answers

Answer:

ITS D GOT 100 ON QUIZE

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

bc i said so

5x+8y=535

how many is x and how many are y

Answers

There is one X and one Y
535xy

Answer:

x= -8y  / 5 +107

y = 535 - 5x / 8

Step-by-step explanation:

5x+8y=535

Subtract 8y from both sides.

5x=535−8y

Divide both sides by 5.

5x / 5 = 535 - 8y / 5

Dividing by 5 undoes the multiplication by 5.

x=  535−8y / 5

Divide 535−8y by 5.

x= -8y  / 5 +107

5x+8y=535

Subtract 5x from both sides.

8y=535−5x

Divide both sides by 8

8y / 8 = 535 - 5x / 8

Dividing by 8 undoes the multiplication by 8.

y = 535 - 5x / 8

Hope this answer helps you :)

Have a great day

Mark brainliest

evaluate h(0). What does this value represent?

Answers

Answer:

Step-by-step explanation:

Answer:

An equation is needed to evaluate h(0).

When you evaluate h(0), you find the y-intercept of the graph because the independent variable inside the brackets, probably x or t, equates to 0.

The problem is needed for its context to be explained.

Although in most math problems, when h(x) form is used, h usually represents height.

I assume h(0) is the initial height, maybe the height that the rocket was launched or the height that the person who threw the ball is.

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