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Rzqust [24]
3 years ago
9

Using the given​ diagram, solve for x.

Mathematics
2 answers:
k0ka [10]3 years ago
8 0
Taking the diagram to be right-angled. Use the Pythagoras theorem to solve for x.

x^2 = (14+21)^2
REY [17]3 years ago
4 0
The answer is 123 because a triangle equals 180 degrees and combine all the numbers and subtract that to 180 and you will get 123.
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The diagram shows the cross-section of a wall of a cinema.
Anna71 [15]

Answer:

  • 280 m²
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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.

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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.

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Answer:

y=-5/3+6

Step-by-step explanation:

y=mx+b

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y=-5/3+6

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