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Alexxandr [17]
3 years ago
11

Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of oun

ces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

Clara

Step-by-step explanation:

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The difference between eight times a number and three is = to negative nineteen what is the number
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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

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HEEEELP <br> ABC m a-58<br> b-42<br> c-55<br> d-41
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Your answer is going to be C
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Is it possible that for every right triangle, it has two complementary angles?
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Yes, every right triangle has two complementary angles.

This is because you know that the interior angles of a triangle have to add up to 180 degrees.

A right angle is 90 degrees, so the remaining two angles have to add up to (180-90) degrees, or 90 degrees.

Two angles whose sum is 90 degrees are complementary.
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3 years ago
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