A rectangle has four right angles. What other shape has four right angles?

Freight cars on some trains can each haul 60 tons of cargo. How many 500-pound containers can be hauled by this type of freight

zavuch27 [327]

Answer:240 500 pounds containers

Step-by-step explanation:

Each ton is 2000 pounds.? Convert 60 tons to pounds to get 120000 pounds and then divide it by 500

5 0

3 years ago

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

Use the slope interactive to graph the line with a y-intercept of -2 and slope of -1/3. What is the x-intercept of the line

brilliants [131]

The x intercept would be -3 I believe, please mark me as brainliest if this helps and comment if you would like an explanation

5 0

3 years ago

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12/18 ATB - Review question -<br> Evaluate 18x + 75 when x= 8.

boyakko [2]

Answer:

solution

x=8

so,

18 .8 +75

144 +75

219

7 0

3 years ago

Which graph represents the polynomial function g(x)=x3+x2−17x+15?

IrinaVladis [17]

The graph which represents the polynomial function g(x) is:

the 2nd graph in the second line

Step-by-step explanation:

g(x) = x³ + x² - 17x + 15 is a cubic function because the greatest power

of x is 3

All graphs represent cubic functions

So to find which graph which represents g(x) we will do these steps

1. Put x = 0 to find the y-intercept

2. If there are more than one graph have the same y-intercept we will

find the maximum and the minimum points of the cure

3. If you still don't know which graph find the x-intercepts

Now let us find the graph which represents g(x)

∵ g(x) = x³ + x² - 17x + 15

∵ x = 0

∴ g(0) = (0)³ + (0)² - 17(0) + 15

∴ g(0) = 15

∵ g(0) is the y-intercept

∴ The graph intersect the y-axis at point (0 , 15)

There is only one graph intersects y-axis at point (0 , 15)

The attached figure is the graph of g(x)

The graph which represents the polynomial function g(x) is:

the 2nd graph in the second line

Learn more:

you can learn more about functions in brainly.com/question/10541435

brainly.com/question/10879401

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers