1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
12

00:00

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

It will take 39.27 gallons to repaint the barn.

Step-by-step explanation:

The image of the setup is obtained from online and attached to this solution.

The rectangular prism is a cuboid of

Length = 84 ft

Breadth = 38 ft

Height = 20 ft

And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.

The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism

Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.

The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.

B² = 12² + 19²

B = 22.47 ft

Total Surface area of the faces of the rectangular prism is then

2×(84×20) + 2×(38×20) = 4880 ft²

Total surface area of the faces of the triangular prism is then

2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²

Total surface area = 4880 + 4230.96 = 9110.96 ft²

1 gallon of paint = 232 ft²

x gallons of paint = 9110.96 ft²

x = (1×9110.96/232) = 39.27 gallons.

Hope this Helps!!!

You might be interested in
Help me out on this one?
Gemiola [76]

Answer:

x+6

Step-by-step explanation:

4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Match each system of inequalities to the graph representing its solut
mojhsa [17]

The solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)

<h3>How to determine the solution to the systems?</h3>

The graph of the systems of inequalities is not given.

So, I would plot a new graph to answer this question.

The systems of inequalities are given as:

y − x > 1 and 2x + y ≤ 2

x + y ≥ -3 and 5x – y ≤ -3

2x – y ≤ -1 and x + 2y < 4

4x – 3y < 12 and x + 3y ≥ 6

Next, we plot these inequalities on a graph and write out the points of intersection.

From the attached graph, we have:

y − x > 1 and 2x + y ≤ 2  ⇒ (0.3, 1.3)

x + y ≥ -3 and 5x – y ≤ -3  ⇒ (-1, -2)

2x – y ≤ -1 and x + 2y < 4  ⇒ (0.4, 1.8)

4x – 3y < 12 and x + 3y ≥ 6 ⇒ (3.6, 0.8)

Hence, the solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)

Read more about systems of equations at:

brainly.com/question/21405634

#SPJ1

8 0
1 year ago
Please help me I don’t know what to do
Lisa [10]

Answer:

(x-3,y-4) = correct

Step-by-step explanation:

5 0
2 years ago
Please help right away
amid [387]

Answer:

the second one it shows it going up

8 0
3 years ago
Please help me, maths is hard, and at the moment i wish maths wasn't real. brainliest will be given
Evgen [1.6K]

Answer:

£60

Step-by-step explanation:

Let x be the original price.

x \times (1-10/100) = 54

x \times 90/100 = 54

0.9x=54

x=54/0.9

x=60

7 0
3 years ago
Other questions:
  • A car is driving at the speed of 58 km/h.How much time will it take to drive for distance 32 miles?
    11·1 answer
  • Luke paid 12.69 for 3 greeting cards. Each card cost the same amount, c. Which equation and solution represent this situation?
    9·2 answers
  • 6r = 3 (r - 4 ) - r<br> Pls help
    11·2 answers
  • Which function is represented by the graph?
    14·1 answer
  • Write the scale as a ratio.
    5·1 answer
  • Fill in wats missing?
    9·1 answer
  • What is the answer to x/3 = 6/9
    13·1 answer
  • Pls answer for my hw thanks
    12·1 answer
  • Divide 63 in the ratio 5:4=​
    13·1 answer
  • Question 3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!