What is the volume of the sphere shown below with a radius of 6?
A. 483 Cu, units
B. 2887 cu units
C. 1627 cu units
D. 14431 Cu, units

Answer:

1000

Step-by-step explanation:

I guess, something went wrong with the text up there.

I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.

otherwise an infinitely large number of "just squares" would fit into the box ...

so, the box is

1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³

a single cube would be

2cm×2cm×2cm = 8 cm³

therefore,

8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.

Answer:

Hi,

If you don't know how to derivate, i can show you using

lim (f(x+h)-f(x))/h if h ->0

Step-by-step explanation:

[tex]f(x)=2x^2+3x-2\\\\f'(x)=4x+3\\\\f'(1)=4*1+3=7\\\\f'(3)=4*3+3=15\\\\f'(5)=4*5+3=23\\[/tex]

Step-by-step explanation:

18

Answer:

x = 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle is isosceles with legs congruent, both x

Using Pythagoras identity in the right triangle

x² + x² = 16²

2x² = 256 ( divide both sides by 2 )

x² = 128 ( take the square root of both sides )

x = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

Answer:

12 floors

Step-by-step explanation:

768 ÷ 64 = 12.

Answer:

12

Step-by-step explanation:

768 divided by 64 =12

Step-by-step explanation:

[tex]v = \frac{\pi r {}^{2}h }{3} [/tex]

[tex]3v = \pi {r}^{2} h[/tex]

[tex] \frac{3v}{\pi h} = {r}^{2} [/tex]

[tex] \sqrt{ \frac{3v}{\pi h} } = r[/tex]

Answer:

n=12

Step-by-step explanation:

13 less than 9 times a number: 13 less than 9n, 9n-13

11 more than 7 times a number: 11 more than 7n, 7n+11

9n-13=7n+11

2n=24

n=12

Answer: 73.5mi²

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×14×10.5

= 7×10.5

=73.5mi²

please click thanks and mark brainliest if you like :)

Answer:

Your credit report contains personal information, credit account history, credit inquiries and public records. This information is reported by your lenders and creditors to the credit bureaus. Much of it is used to calculate your FICO® Scores to inform future lenders about your creditworthiness.

Answer:

A) Net A (see explanation)

B) AB = 3 in. | BC = 5 in. | CD = 7.2 in.

C) SA = 98.4 in²

Step-by-step explanation:

Part A

Net A is the correct net for the prism. If you look at the way the folds are, the flaps on the top and bottom would fold up to make the side of the prism. On net B, the flaps wouldn’t fit the shape correctly.

Part B

AB = This is the height of the prism.

= 3 in.

BC = This is the slant on the front of the prism.

= 5 in.

CD = This is the length of the prism.

= 7.2 in.

Part C

* First we’ll solve for the two triangles. They are the same shape and size, so we just need to solve one then duplicate it.

One triangle:

A = 1/2bh

= 1/2 (4) (3)

= 6 in²

Back rectangle:

A = bh

= 7.2 (3)

= 21.6 in²

Front rectangle:

A = bh

= 7.2 (5)

= 36 in²

Bottom rectangle:

A = bh

= 7.2 (4)

= 28.8 in²

Total:

A = 6 + 6 + 21.6 + 36 + 28.8

= 98.4 in²

9514 1404 393

Answer:

  none

Step-by-step explanation:

Multiplying the second equation by -3 gives ...

  6x -3y = -24

Values of x and y that satisfy this equation cannot also satisfy the first equation ...

  6x -3y = 5

There are no solutions to this system of equations.

__

The equations describe parallel lines. There is no point of intersection.

Answer:

I don't knowledge bro sorry

Answer:

3*sqrt(2) and 3pi/4

Step-by-step explanation:

tan(theta)=y/x and r^2=y^+x^2.

tan(theta)=-3/3=-1, theta=3pi/4

r=sqrt(3^2+3^2)=3*sqrt(2)

Answer: Distance = √17

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

Distance Formula = [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-2, 5)

(x₂, y₂) = (2, 6)

Given formula

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the formula

[tex]Distance=\sqrt{(2+2)^2+(6-5)^2}[/tex]

Simplify value in the parentheses

[tex]Distance=\sqrt{(4)^2+(1)^2}[/tex]

Simplify exponents

[tex]Distance=\sqrt{16+1}[/tex]

Simplify by addition in the square root

[tex]\boxed{Distance=\sqrt{17}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Circumference = 76cm

Circumference = 2(π)(r)

r -> radius

=> 2(π)(r) = 76

=> (π)(r) = 76/2

=> (π)(r) = 38

=> 3r = 38

=> r = 38/3

=> r = 13cm (Approx.)

Diameter = 2r = 2(13) = 26cm

Area = π(r)^2

        = 3(13)^2

        = 3(169)

        = 507 cm^2

Answer

d=25.34cm

a=160.53cm

cf=12.67cm

Step-by-step explanation:

circumference=cf

diameter=d

radius=r

area=a

d=2r

=2×12.67cm

=25.34cm

cf=2πr

76cm=2(3)r

76cm=3r

2

38cm=r

3

r=12.66^cm

r=12.67cm

find the area

a=πr^2

a=12.67×12.67πcm

a=160.53πcm(it is near to this)

Answer:

Point A.

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

Answer:

It is the Picture B.

Step-by-step explanation:

Answer:

The ans is (3,-9) which means it's the second option

Answer:

196 in/cm/m²

Step-by-step explanation:

Given that the scale factor is a : b , then the area factor is a² : b² Here the scale factor is 1 : 7 , thus area scale factor is 1² : 7² = 1 : 49 That is the area of the dilated square is 49 times the original square. area of dilated square = 4 × 49 = 196 in/cm/m²

Answer:

f(x)=15x+5

thanks

Step-by-step explanation:

p=2(length +width)

p=f(x)=2(5x+2+2x)

=f(x)=10x+4+5x

collecting like terms,we get;

f(x)=15x+5

The expression that represents the perimeter P as a function of x is 14x + 14

The perimeter can simply be defined as the part or portion surrounding a shape or boundary. The formula for calculating the perimeter of the rectangular yard is expressed as:

The perimeter of the rectangular yard = 2(L+W) where:

L is the length

W is the width

Given the following parameters

Length = 5x + 2

Width = 2x

Substitute the given parameters into the formula above:

Perimeter = 2(5x+2+2x)

Perimeter = 2(7x + 2)

Perimeter = 14x + 4

Hence the expression that represents the perimeter P as a function of x is 14x + 14

Learn more: https://brainly.com/question/10452031

Answer:

Amount of tickets

Step-by-step explanation:

The variable is the amount of tickets purchased because that is the only thing that changes, according to the statement that says that daily tickets are $50.

9514 1404 393

Answer:

  $18

Step-by-step explanation:

The interest is computed using the formula ...

  I = Prt

where P is the principal, r is the annual rate, and t is the number of years. The interest is ...

  I = $600×0.03×1 = $18

the negative will shift the graph right, so x = 1/2

the negative 2 will shift the graph down, so y = -2

Thus, the vertex is (1/2, -2)

ANSWER: The glass window will cost $252.00 for window replacement.

EXPLANATION:

The area of a square is given by the formula:

s^2

where s is the side length.

If we were to replace the glass window, and it will cost $7.00 per square foot, the total price will be:

FIND AREA OF THE GLASS WINDOW:

6^2 = 36 square feet

$7 per square foot so:

36 x 7 = 252

Therefore it will cost $252.00 to replace the glass window.

Answer:

60

Step-by-step explanation:

let X be the total number of students.

48÷x *100 = 80

4800= 80x

X = 60 students

Answers:

[tex]\text{Perimeter} = 14\sqrt{5}\\\\\text{Area} = 50\\\\[/tex]

=======================================================

Work Shown:

[tex]L = 2\sqrt{5} = \text{length}[/tex]

[tex]W = 5\sqrt{5} = \text{width}[/tex]

P = perimeter

[tex]P = 2*(L+W)\\\\P = 2*(2\sqrt{5}+5\sqrt{5})\\\\P = 2*(7\sqrt{5})\\\\P = 14\sqrt{5}\\\\[/tex]

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

A = area

[tex]A = L*W\\\\A = (2\sqrt{5})*(5\sqrt{5})\\\\A = (2*5)(\sqrt{5}*\sqrt{5})\\\\A = 10\sqrt{5*5}\\\\A = 10\sqrt{25}\\\\A = 10*5\\\\A = 50\\\\[/tex]

Answer:

She can put the rocks into groups of 19.

That would give her 2 groups.

Step-by-step explanation:

F(x)=x^2-2x+4

[tex]\\ \sf\longmapsto F(|-4|)[/tex]

[tex]\\ \sf\longmapsto F(4)[/tex]

[tex]\\ \sf\longmapsto 4^2-2(4)+4[/tex]

[tex]\\ \sf\longmapsto 16-8+4[/tex]

[tex]\\ \sf\longmapsto 8+4[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Answer:

A=5h(B+b)

A/5h=B+b

A/5h - b= B

Answer:

7 ans-HCF is y

Step-by-step explanation:

soln

first expression=X and y

second expression=l and y

so HCF means common so the Ans is y

Answer: Profit = $300

Step-by-step explanation:

Given information

Original Price = $1200

Profit rate = 25%

Given expression

Profit amount = Profit rate × Original price

Substitute values into the expression

Profit amount = 25% × 1200

Profit amount = $300

Hope this helps!! :)

Please let me know if you have any questions