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Firlakuza [10]
3 years ago
9

PLEASE ANSWER ASAP FOR BRAILEST!!!!!!!!!!!!!

Mathematics
1 answer:
slava [35]3 years ago
4 0

i dont get the question can you clarify for me

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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
Open Brains data. SETUP: Some people believe that first born subjects have different intelligent (different IQ test). Given the
melamori03 [73]

Answer:

the test I will perform is d. ​​Two-sided t-test

Step-by-step explanation:

When we are to compare between different data, critical regions occur on both sides of the  mean of a normal distribution,they are as a result of two-tailed or two-sided tests.

In such tests, consideration has to be given to values  on both sides of the mean.

for this question, it is expected to compare weather it is true that first born have different intelligent or not, weather to accept a null hypothesis or reject.

For example, if it is  required to show that the percentage of metal, p, in a

particular alloy is x%, then a two-tailed test is used,  since the null hypothesis is incorrect if the percentage  of metal is either less than x or more than x.  

8 0
3 years ago
How can you use the properties of multiplication to determine what the factors are
Mariulka [41]
You cant if you are trying to figure out what the factors are
7 0
3 years ago
Is 0.3 equal to 1/3, or 3/10?
Stolb23 [73]

Answer: 3/10

3/10 = 0.3


8 0
3 years ago
Read 2 more answers
Estimate the answer by rounding. 84 - 18
Elina [12.6K]
Well here is how you do it. you take 84 and estimate the ones place and do the same with 18. since 18 has a big number above 5 or more we raise the score. not to 19, but 20. The 4 in 84 is lower so it stays the sames. we don't keep it as 84 we change the number by taking out 4 and placing a zero. Now all we need to do is do the math. 80 - 20 = 60.

Hope it helps ~~~Emmalyn
8 0
3 years ago
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