A ball inside of a cube has a volume of 524 cubic inches. If each side of the cube measures 12.75 inches. what is the volume of air inside the cube? (Round to the nearest tenth.)
1) 1548.7 cubic inches
2) 2072.7 cubic inches
3) 2596.7 cubic inches
4) 1048.0 cubic inches

Answer:

[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

• Differentiate cosine

• Then multiply it with the derivative of the term inside the bracket

Answer:

Area of the shaded region = 450.52 square inch

Step-by-step explanation:

Area of the shaded region = Area of the circle - Area of the right triangle inscribed in the semicircle

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

                        = (21)² + (20)²

Hypotenuse = [tex]\sqrt{441+400}[/tex]

                     = [tex]\sqrt{841}[/tex]

                     = 29

Since, hypotenuse of the right triangle is the diameter of the circle.

Therefore, radius of the circle = [tex]\frac{29}{2}[/tex]

                                                  = 14.5 in.

Area of the circle = πr²

                             = π(14.5)²

                             = 660.519

                             ≈ 660.52 in²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(21)(20)[/tex]

                                         = 210 in²

Area of the shaded region = 660.52 - 210

                                            = 450.52 square inch

Answer:

Step-by-step explanation:

3x²-17x=-10

3x²-17x+10=0

3x²-2x-15x+10=0

x(3x-2)-5(3x-2)=0

(3x-2)(x-5)=0

3x-2=0,x=2/3

x-5=0,x=5

Answer:6

Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are

Answer:

the answer is D undefined slope

Answer:

UNDEFINED SLOPE

Step-by-step explanation:

mark brainliest if u want

1. 215.10

2. 57.60

3. 16.11

4. 8.24

5. 89.40

6. 149.10

7. 476

8. 48

9. 59.50

10. 13.49

Answer:

s = 4

Step-by-step explanation:

Note that the triangle has 2 congruent base angles, both 45°

This means the triangle is isosceles with congruent legs, then

s = 4

Answer:4

Step-by-step explanation:

Answer:

10) x/6 = 4/8

8x = 6 x 4 = 24

x = 3

11) x/15 = 12/8

8x = 15 x 12 = 180

x = 22.5

Answer:

How about this: There's always an implicit 1 in the expansion:

23=2⋅2⋅2⋅1=8

22=2⋅2⋅1=4

21=2⋅1=2

20=1=1

Answer:

its B i think

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

Answer: 8.040328

I don't know but hope it helps

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

Check

(6 + 6) × 6 = 72

12 × 6 = 72

Step-by-step explanation:

% Increase = ((New value - Old Value) / Old Value) * 100

Given New value = $85

and Old Value = $35

% Increase =

[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]

Answer:

6x + 6

Step-by-step explanation:

Perimeter is the total measurement of all the sides

16x + 12 = (6x + 14) + (4x - 8) + (?)

16x + 12 = 10x + 6 + ?

6x + 6 = ?

Answer:

The common factor of this equation is 8

Step-by-step explanation:

8/8 & 40/8

1 & 5

Answer:

Hi! The answer to your question is 8 (x-5)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

l don't understand please explain ppppppppp

Answer:

C

Step-by-step explanation:

So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.

Answer: The Eskimos killed their whale with an exploding harpoon.

Step-by-step explanation:

a crew of Inupiat Eskimos cruising the Arctic Ocean in a small powerboat spotted the whale's spout, speeded to the animal's side and killed the whale with an exploding harpoon.

Answer:

31

Step-by-step explanation:

a + (n-1)d  where a = first term;  n = which number we want;  d = common difference.

=> 4 + (10 - 1)3

=> 4 + (9)*3

=> 4 + 27

=> 31

Answer:

Monday, may 31, 2021

Step-by-step explanation:

:)))

Answer:

A = 140

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 20

h = 14

Work:

A = 1/2bh

A = 1/2(20)(14)

A = 10(14)

A = 140

Answer:

The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions

Step-by-step explanation:

9x² - 4x + 1 = 0     ax² + bx + c = 0

The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20

b2−4ac < 0, the equation has no real number solutions, it has complex solutions

Answer:

1,-1

Step-by-step explanation:

because section be is for +,-

Answer:

1,-1

Step-by-step explanation:

Photic zone: seaweeds and corals live here

aphotic zone: mid-ocean level where no light reaches

deep ocean floor: animals that glow are found here

Hope this helped!

Answer:

deep ocean floor - animals that glow are found here

photic zone - seaweeds and coral live here

aphotic zone mid-ocean level where no light reaches

Step-by-step explanation:

I rly hope this helps!! :D

Answer: (x+3)^2+(y-4)^2=49

The answer is b :)

Step-by-step explanation:

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

(hope this helps can i plz have brainlist :D hehe)