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ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?

We first split ABC into two right-angled triangles. We name the midpoint of AC, M. AM=1cm, and BM=sqrt(5 2 -3 2 )=4 by Pythagoras. The area of ABC =1/2 AC BM=1/2 6 4=12. We can see that the side lengths of D...
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Answered by Peter G. • Maths tutor
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What gases will be taken in and given out by a green plant (a) in darkness, (b) in bright sunlight?

(a) In low light intensities a green plant will be taking in oxygen and giving out carbon dioxide. (b) In bright sunlight a green plant will be taking in carbon dioxide and giving out oxygen.
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Answered by Sonali P. • Biology tutor
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What are enzymes? What is the importance of enzymes for living beings?

Enzymes are proteins that are catalysts of chemical reactions. Chemistry shows us that catalysts are non-consumable substances that reduce the activation energy necessary for a chemical reaction to occur. En...
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Answered by Sonali P. • Biology tutor
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What does Empiricism mean?

This is a branch of Philosophy that deals with experience and where our ideas of things come from' Empiricism' is Greek for experience. It's probably best discussed by the 17th and 18th century thinkers John...
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Answered by Alex D. • Philosophy tutor
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When can I use the Italian presente indicativo instead of the Italian futuro semplice indicativo?

There are some contexts where the Italian presente indicativo is used to describe an action that will take place in the future. The Italian simple present is one of the most used tense in Italian, it is comm...
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Answered by Irene T. • Italian tutor
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