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Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we work...
AG
Answered by Aaron G. Maths tutor
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If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a for...
NK
Answered by Najmeh K. Maths tutor
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Which of the following was the more important reason why the Weimar Republic was in danger in the years 1919–1923: economic problems or political unrest?

The Weimar Republic was undermined by both economic problems and by political unrest. The Treaty of Versailles had ramifications for both national morale and for German economic growth, as it forced Germany ...
JR
Answered by Jennifer R. History tutor
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A square has sides of length x cm. The length of a rectangle is equal to the perimeter of this square. The perimeter of this rectangle is 14x cm. Find an expression for the width of this rectangle. Give your answer in terms of x.

l(s) = xl(r) = 4xp(r) = 14xP(r) = 8x + 2w = 14xw = 3x
MZ
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Describe two ways the body prevents the entry of microorganisms.

Acid in stomach kills pathogens in food.Skin creates a barrier that microorganisms cannot enter through.Hairs in nose and ears that trap microorganisms.Mucus and cilia in the trachea and bronchi that trap mi...
MA
Answered by Minnie A. Biology tutor
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