Translate the sentence into an equation.

The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.

mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = $\frac{1}{2}(b_1+b_2)h$

where $b_1$ and $b_2$ are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = $\frac{1}{2}(11+12)\times 6$

= 69 m²

Area of the rectangle (2) = Length × Width

= 12 × 15

= 180 m²

Area of the trapezoid (3) = $\frac{1}{2}(12+10)\times 11$

= 121 m²

Now area of the wall = 69 + 180 + 121

= 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = $\frac{\text{Total area}}{\text{Area covered by one tin}}$

= $\frac{370}{25}$

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

= £105

8 0

3 years ago

Help please!!!!

Sonja [21]

Answer:

you already put this one

6 0

3 years ago

Which of the numbers below is less than zero? Select all that apply.

UkoKoshka [18]

Answer:

A, B, E area ll less than 0

Step-by-step explanation:

They are all negative numbers.

4 0

2 years ago

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Solve the following system of equations: y = 4x - 6 5x - 4y = -9

antoniya [11.8K]

Answer:

(X=Y)=(3,6)

Step-by-step explanation:

5x-4(4x-6)=-9

x=3

y=4x3-6

y=6

5 0

3 years ago

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Solve for x. X -8 = -11 With step by step explanation or with ur work.

igor_vitrenko [27]

To find:

=> The value of x

=>

$x - 8 = - 11$

Now, we'll move -8 to the other side i.e the RHS side,

which results in the change of it's sign(- converts into +)

=>

$x = - 11 + 8$

Now , we'll add the Numbers

=>

$x = - 3$

<h2>Hence,-3 is the required answer.</h2>

^-^

8 0

3 years ago

Read 2 more answers