Ms. Durand has an obsession with Christmas. She is standing 8ft away from a 20ft Christmas Geometree. She wonders, "hmmm, what is the angle of elevation from myself to the star on the top of the tree?"

Answer:

32 solid balls are formed.

Step-by-step explanation:

Let suppose that volume of the cone is equal to the total volume of balls, of which we derive the following formula:

[tex]\frac{1}{3}\cdot \pi\cdot R^{2}\cdot h = \frac{1}{6}\cdot \pi \cdot n \cdot D^{3}[/tex] (1)

Where:

[tex]R[/tex] - Radius of the base of cone, measured in centimeters.

[tex]h[/tex] - Height of cone, measured in centimeters.

[tex]D[/tex] - Diameter of sphere, measured in centimeters.

[tex]n[/tex] - Number of balls, no unit.

Then, we clear the number of balls:

[tex]2\cdot R^{2}\cdot h = n\cdot D^{3}[/tex]

[tex]n = \frac{2\cdot R^{2}\cdot h}{D^{3}}[/tex]

If we know that [tex]R = 12\,cm[/tex], [tex]h = 24\,cm[/tex] and [tex]D = 6\,cm[/tex], then the number of balls is:

[tex]n = \frac{2\cdot (12\,cm)^{2}\cdot (24\,cm)}{(6\,cm)^{3}}[/tex]

[tex]n = 32[/tex]

32 solid balls are formed.

Answer:

Answer vary :

C. 10

Step-by-step explanation:

at least in my opinion I think so.

Answer:

C i think

you can you use 10 nickels

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Answer:

16+2=18

18-3=15

2*3=6

Step-by-step explanation:

Answer:

Tarda 5 minutos

Step-by-step explanation:

En un minuto baja a -2°C, en dos minutos baja a -6°C, en tres minutos baja a -10°C, en cuatro minutos baja a -14°C, en cinco minutos baja a -18°C

ESPERO TE AYUDE ;)

Answer:

company a

Step-by-step explanation:

It is probably company a because if you make a box and whisker plot in your head the median of 6 would be more in between 3 and 10 than 9. If the median were 9 it would probably be skewed. If 6 is near the middle the box and whisker plot would look more symmetric

Answer:

∠ZXY = 57°

Step-by-step explanation:

According to angle sum property of a triangle, sum of all the angles of the triangle is [tex]180[/tex]°.

In ΔXYZ,

∠XYZ + ∠YZX + ∠ZXY = 180°

Put ∠XYZ = 104°, ∠YZX = 19°

104° + 19° + ∠ZXY = 180°

123° + ∠ZXY = 180°

∠ZXY = 180° - 123°

∠ZXY = 57°

Therefore,

∠ZXY = 57°

Answer:

57

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

try calculator and see which fits

Answer:

Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.

Step-by-step explanation:

Answer:

x = 55

Step-by-step explanation:

ABCD is a paralellogram, m∠ABC = 2x + 15, m∠BCD = x

m∠ABC + m∠BCD = 180° (same side interior angles)

2x + 15 + x = 180

3x + 15 = 180 -15

3x = 165

x = 55

Answer:

56 square feet

Step-by-step explanation:

If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.

You end up with one rectangle that is

8x4

and a second thats

4x6.

The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)

Thus

32 + 24 = 56 square feet

Answer:

32 + 24 = 56 square feet

Answer:

where is the thing to answer

Answer:

Ok im going on your page to see the question

Answer: 15.66

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+15=36

    -15  -15

      3x=21

        x=7

Answer:

14.40 dollars

Step-by-step explanation:

72 divided in 5

Answer:

[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]

Step-by-step explanation:

Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .

So , let us take that the video game costs x . There can be two cases .

★ Case 1 :-

When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .

[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]

[tex]\rule{200}2[/tex]

★ Case 2 :-

When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .

If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,

[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]

Answer:

65.9734457254 or 65.97

Step-by-step explanation:

c= pi x diameter

c= pi x (10.5 x 2)

c= pi x 21

= 65.9734457254

Answer:

66 in approx

Step-by-step explanation:

Given data

Radius= 10.5 inches

The circumference is given as

C= 2πr

Substitute

C=2*3.142*10.5

C=65.982

Hence the Circumference is 66 in approx

Answer:

9 1/3 feet (I think)

Step-by-step explanation:

I imagined it as a grid.

Your friend moves to point (16,12)

You move to point (-12,9)

Then you set up your equation and solve.

[tex]\frac{16 + 12}{12-9}[/tex]

[tex]\frac{28}{3}[/tex]

9 1/3

Hope this helps :)

Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

pattern is adding 6

so the 11th would be 67

Answer:

you will need to cut off 15.4 cm

Step-by-step explanation:

35.87×2=71.74

71.74-56.34=15.4

Answer:

15 hours

Step-by-step explanation:

40/8 = 75/x

40x = 600

x = 15

Answer:

About 15

Step-by-step explanation:

40 items/8 hours = 5 items per hour( his rate)

75 items/ 5 items per hour= 15 hours

At his rate it will take him about 15 hours to make 75 items

Answer:

Step-by-step explanation:

Length = 3(2x^3) = 6x^3

Height = 2(6x^3) = 12x^3

Volume = (6x^3)(12x^3)(2x^3)=144x^9

Answer:

48 inches

Step-by-step explanation:

[8/3](18) =48