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Xelga [282]
2 years ago
5

PLEASE HELP ASAP!!!!​

Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
8 0
I’m pretty sure is c sorry if I’m wrong have a good day
Elodia [21]2 years ago
7 0

Answer:

I think its D? I'm not sure sorry if I get it wrong

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Question content area top
BigorU [14]

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

<h3>What is a regular hexagon?</h3>

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

Learn more about hexagon;

brainly.com/question/16025389

#SPJ1

3 0
2 years ago
HELP ME WITH THIS ASAP PLEASE I WILL PUT FIRST ANSWER AS BRAINLIEST!!!
Reil [10]

Answer:

A

Step-by-step explanation:

You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.

Hope this helps!

3 0
2 years ago
Read 2 more answers
Which value of X is a solution of x&lt;-2<br><br> A.-3<br> B.-2<br> C.-1<br> D.0
iren [92.7K]

Answer:

A.) -3

Step-by-step explanation:

-3 is less than -2 therefore, it fits the answer.

8 0
2 years ago
Read 2 more answers
If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?
Lerok [7]

Answer:

  • g(x) = - 3^x

Step-by-step explanation:

<u>Reflection over x-axis results in:</u>

  • f(x) → - f(x) translation

<u>Therefore the new function is:</u>

  • g(x) = - 3^x
8 0
2 years ago
Read 2 more answers
Multiply the polynomials.<br>(5x2 + 2x + 8)(7x-6)​
Ilia_Sergeevich [38]

Answer:

35x3 - 16x2 + 44x - 48

Step-by-step explanation:

35x3 + 14x2 + 56x - 30x2 - 12x - 48

35x3 - 16x2 + 44x - 48

6 0
3 years ago
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