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Oksana_A [137]
3 years ago
7

A vacuum cleaner costs £85

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

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I need help with these three problems please​
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Answer:

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Q7. Please see attached picture for full solution.

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Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

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Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

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The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= \frac{x}{42}

\frac{ \sqrt{3} }{2}  =  \frac{x}{42}  \\ x =  \frac{ \sqrt{3} }{2}  \times 42 \\ x = 21 \sqrt{3}  \\ x = 36.4

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

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