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Basile [38]
2 years ago
11

How many solutions are there to the equation

Mathematics
1 answer:
emmasim [6.3K]2 years ago
5 0

Answer:

does not exist

Step-by-step explanation:

-  {x}^{2}  + 5 = 10 \\  -  {x}^{2}  = 10 - 5 \\  -  {x}^{2} = 5 \\  {x}^{2}   =  - 5 \\ x =  \sqrt{ - 5}  \\ so \: negative \: square \: root \: not \: found

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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

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3 0
2 years ago
Mr parkers fourth-grade class is selling candles for a fundraiser each candle costs 7 dollars the class is hoping to raise 350 d
Citrus2011 [14]

Answer:

2

Step-by-step explanation:

350-336=14 7+7=14

3 0
2 years ago
Read 2 more answers
Compare 2 x 10^4 and 8 x 10^3
agasfer [191]
2* 10^4 would be bigger than 8* 10^3.

10^4 = 10000*2=20000
10^3 = 1000*8=8000
8 0
2 years ago
Read 2 more answers
mr. smith has a maximum of $50 to spend at a museum. a ticket to the museum costs $7. he can spend p dollars to buy other things
7nadin3 [17]

The inequality that can be used to find the values for p is p + 7 ≤ 50.

Given the information,

Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.

The total budget is $50.

The cost per ticket is $7

⇒ Total spent ≤  Total Budget

⇒ p + 7 ≤ 50

⇒ p ≤ 43

Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.

To learn more about inequality click here:

brainly.com/question/20383699

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5 0
1 year ago
A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the numbers 3 and 4 representing a suc
anzhelika [568]
The answers seems like 1/2?
5 0
3 years ago
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