Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?

Answer:

[tex]3\frac{1}{3}\ ft^3[/tex]

Step-by-step explanation:

A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:

Volume = width * height * length

From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.

The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.

The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.

The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.

The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =  [tex]3\frac{1}{3}\ ft^3[/tex]

Answer:

it is 3 1/3 good day

Step-by-step explanation:

The amount of fabric Henri will need is 40 meters squared

The amount of fabric Henri will require is the surface area of the square pyramid.

The surface area of the square pyramid, A = area of square base, A' + area of 4 triangular sides

The area of the square base is A' = L² where L = length of base = 4 m

So, A = L²

= (4 m)²

= 16 m²

The area of the triangular side is A" = 1/2Lh where

So, A" = 1/2Lh

= 1/2 × 4 m × 3 m

= 1/2 × 12 m²

= 6 m²

Since there are 4 triangular sides, the area of the sides of the pyramid is

4A" = 4 × 6 m²

= 24 m²

Since the amount of fabric Henri will need is the surface area of the square pyramid,

So, The surface area of the square pyramid, A = A' + 4A"

= 16 m² + 24 m²

= 40 m²

So, the amount of fabric Henri will need is 40 meters squared

Learn more about surface area of square pyramid here:

https://brainly.com/question/22744289

#SPJ1

Answer:

The answer should be x=3.76

Step-by-step explanation:

Answer:

Triangle, pentagon, heptagon, and decagon.

Step-by-step explanation:

REMEMBER THIS:

DECAGON: 10 SIDES

HEPTAGON: 7 SIDES

PENTAGON: 5 SIDES

TRIANGLE: 3 SIDES

EXTRA INFO:

HEXAGON: 6 SIDES

QUADRILATERAL: 4 SIDES

OCTAGON: 8 SIDES

NONAGON: 9 SIDES

Answer:

p=17.43

Step-by-step explanation:

To solve this I just subtracted

p=41.13-23.7

which is

p=17.43

Answer:

0

Step-by-step explanation:

the bag has nothing purple marbles

Answer:

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Step-by-step explanation:

Given;

Amount of weight Kari lost in kilogram = 2.88 kilograms

Given scale;

1 kilogram = 2.2 pound

Find:

Amount of weight Kari lost in pound

Computation;

Amount of weight Kari lost in pound = Amount of weight Kari lost in kilogram x  2.2 pound

Amount of weight Kari lost in pound = 2.88 x 2.2 pound

Amount of weight Kari lost in pound = 6.336

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Answer:

D.30,40,50

Step-by-step explanation:

A.4,5,6

B.2,3,4

C.10,20,30

D.30,40,50

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

4² + 5² = 25 is not equal to the square of 6 which is 36

2² + 3² = 10 . 10  is not equal to the square of 4 which is 16

10² + 20³ = 500. 500  is not equal to the square of 30 which is 900

30² + 40² = 2500. this is equal to the square of 50

Given:

The equation of the trend line is:

[tex]y=-0.36x+12.6[/tex]

In this equation y represents the wind chill and x represents the wind speed.

To find:

The wind chill at 51 mi/h.

Solution:

We have,

[tex]y=-0.36x+12.6[/tex]

Putting [tex]x=51[/tex], we get

[tex]y=-0.36(51)+12.6[/tex]

[tex]y=-18.36+12.6[/tex]

[tex]y=-5.76[/tex]

Round the answer to the nearest degree.

[tex]y\approx -6^\circ[/tex]

Therefore, the wind chill at wind speed 51 mi/h is -6°.

Answer:

If its t to the power - 1/3 then it is 1/512

Step-by-step explanation:

t^-1/3=8

(1/t) ^1/3 =8

1/t = 8 ^3

t=1/512

Answer:

(5, 5), (7, 2), (3, 2)

Step-by-step explanation:

When reflecting a figure across the y-axis, the x value will be the opposite and the y value will remain the same

reflection across y-axis:

(x, y) ---> (-x, y)

Hope this helps!!

Answer:

7,D all real numbers greater than or equal to 0

8,G all real numbers less than or equal to 2

Answer:

y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)

Step-by-step explanation:

these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.

Answer:

2.3

Step-by-step explanation:

did the math

Answer:

a=1

Step-by-step explanation:

because 3/4 hour is 45 minute and it takes 4/4 distance to their grandparents hous ein 4/4 hour so 45÷3=15, 15×4=60 which is 1hour

The Answer is A: 1 hour

Step-by-step explanation:

since they can drive 3/4 the distance in 3/4 hours, they can also drive 1/2 the distance in 1/2 hours and so on. If they want to visit the grandparent's house, they need to drive 4/4 the distance which is equivalent to 1 so it will take 1 hour for them to go to the house at the same rate.

A Tip From Me To You:

sometimes the question tries to trick you to make you overthink it so don't overthink it, try to just solve it simply.

Have a great day! <3

Answer:

The right answer is

tan D =80/18

Answer:

1000 cubic centimeters

Step-by-step explanation:

150 / 6 = 25

Square root of 25 = 5

5 * 2 = 10

10 * 10 * 10 = 1000 cubic centimeters

Answer:

a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]

b) 0.03

c) 0.15

d) La media es 0.55

La varianza es 8.[tex]\overline 3[/tex]

Step-by-step explanation:

La variación del espesor del componente de la aeronave = 0.05 a 1.05

El pdf de la variable 'X' se da de la siguiente manera;

[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05

a)

[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]

b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;

P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03

P(X > 1.02) = 0.03

La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03

c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;

P(X > x) = 1 - F(x)

∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)

x - 0.05 = 1 - 0.9 = 0.1

x = 0.1 + 0.05 = 0.15

∴ El espesor excedido en el 90% de los bordes, x = 0.15

d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;

[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]

Para la distribución de espesor de borde dada, tenemos;

0.05 < x < 1.05

[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]

El significado E(X) = 0.55

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]

La varianza, V(X) = 8.[tex]\overline 3[/tex]

Answer:

152

Step-by-step explanation:

blue -- 8 x 2 = 16 x 2 = 32

green -- 8 x 6 = 48 x 2 = 96

red -- 6 x 2 = 12 x 2 = 24

96 + 24 + 32 = 152

Answer:

D - 4.6

Step-by-step explanation:

Hope it Helps!

:)

and sorry for the late answer

Answer:

38.5 mm^2

Have a nice day!

Step-by-step explanation:

Area = πr^2

Area = π(3.5^2)

Area = π(12.25)

Area = 38.48451...

Area = 38.5

Step-by-step explanation:

8 volume

Answer:

[tex]x=\frac{106}{49}[/tex]

Step-by-step explanation:

Therefore, [tex]x=\frac{106}{49}[/tex] will be your final answer.

Answer: 5 large

Step-by-step explanation:

$6.75 per pizza for 4 large pizzas

$6.40 per pizza for 5 large pizzas

Answer:

Volume is: 972 and Surface area is 324

Step-by-step explanation:

How to get the volume is 9^3

That is 729

Times 4/3

972.

The surface area is 4 times 9^2

324.

You dont use the pie.

Answer:

you are correct :D

Step-by-step explanation:

Answer:

dont say that-

Step-by-step explanation: