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
Verizon [17]
2 years ago
12

The diagram shows the cross-section of a wall of a cinema.

Mathematics
1 answer:
Anna71 [15]2 years ago
7 0

Answer:

  • 280 m²
  • £133

Step-by-step explanation:

The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.

__

Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...

<u>Left Trapezoid</u>

  A = 1/2(b1 +b2)h

  A = 1/2(10 m +11 m)(4 m) = 42 m²

<u>Middle Rectangle</u>

  A = LW

  A = (13 m)(11 m) = 143 m²

<u>Right Trapezoid</u>

  A = 1/2(b1 +b2)h

  A = 1/2(11 m +8 m)(10 m) = 95 m²

<u>Wall Area</u>

The total area to be painted is the sum of the above areas:

  total area = 42 m² +143 m² +95 m² = 280 m²

The area that needs to be painted is 280 m².

__

A tin of paint covers 15 m², so the number of tins needed is ...

  (15 m²)t = 280 m²

  t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t

We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...

  (£7 /tin)(19 tins) = £133

It will cost £133 to paint the wall.

You might be interested in
The base of a pyramid has n sides.<br> Write an EXPRESSION for the number of faces of the pyramid.
ser-zykov [4K]
<span>In general, if the pyramid has 'x' sides, then it will have 'x' lateral faces. Total Number of Faces = Number of Base Faces + Number of Lateral Faces. Total Number of Faces = 2 + x. So the formula is F=x%2B2 where "x" is the number of sides that the pyramid has and "F" is the total number of faces.</span>
3 0
3 years ago
Read 2 more answers
There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the blac
Delicious77 [7]

Answer:

108 cubes

Step-by-step explanation: 9 times 12 equals 108

9 • 12 = 108 cubes

4 0
2 years ago
Read 2 more answers
Which statements are true about the ordered pair (−1, 5) and the system of equations?
Rudiy27
An ordered pair (x,y) is a solution to a system of equations if it makes all the equations true.
Let's check whether (–1, 5) makes the equations true.
Plugging –1 in the first equation for x and 5 in for y, we get
–1 + 5 = 4: TRUE
 Plugging –1 in the second equation for x and 5 in for y, we get
–1 – 5 = –6: TRUE

Since it makes both the equations true, it's a solution to the system of equations. So the answer choice is D, the 4th one. 
7 0
3 years ago
Read 2 more answers
Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.
Galina-37 [17]

Answer

No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

8 0
3 years ago
Read 2 more answers
Simplify -3 to the exponent of 4
WITCHER [35]
<h2><u>Answer</u>:</h2>

81

<h2><u>Step-by-step explanation</u>:</h2>

( - 3)^{4}  \\  \\   - 3 \times  - 3 \times  - 3 \times  - 3 \\  \\ 9 \times 9 \\  \\ 81

Hence answer is 81.

8 0
3 years ago
Other questions:
  • A student rides her bike to school. her school is 5 miles from her home. she travels an average speed of 850 mph. how much time
    13·1 answer
  • Factor x2 − 4x + 5.<br><br> Prime<br> (x + 5)(x − 1)<br> (x − 5)(x − 1)<br> (x + 5)(x + 1)
    7·1 answer
  • Please help me with this question
    15·2 answers
  • I am confuse how to solve this problems help!!!!
    9·1 answer
  • Write a multiplication expression using the following clues:
    8·1 answer
  • PLEASE HELP!! 35POINTS!!
    15·1 answer
  • HELP!!!! 10 points to offer!!
    12·1 answer
  • What is the solution to 9e-7=7e-11<br> need it now
    6·2 answers
  • Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend
    6·2 answers
  • What would cause an Inequality sign in an equation to flip?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!