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Find the length of the hypotenuse of a right-angled triangle using i) Pythagoras Theorem ii) Trigonometry. The triangle has sides of lengths 3cm and 4cm and an acute angle of 30 degrees.

Part i Pythagoras Theorem states a 2 = b 2 + c 2 , where a is the hypotenuse.Using this the lengths can be substituted into the equation as b and c, a 2 = 3 2 + 4 2 a 2 = 25a = sqrt(25) = 5cm Part ii Trigono...
ZS
Answered by Zaakir S. • Maths tutor
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How to form the imperfect subjunctive

For me, the easiest way of forming the imperfect subjunctive in Spanish is to firstly start with the 3rd person plural form of the preterite. Once you have this, drop the -ron ending of the verb. This base c...
ED
Answered by Emma D. • Spanish tutor
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Differentiate y = x^2 - 2x-3 + e^3x + 2ln(x)

The above function has several components with different rules on how to differentiate each of them. For each:(1) y = x 2 dy/dx = 2x This follows the general rule of differentiating polynomials: y = x n , dy...
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Answered by Jim H. • Maths tutor
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Describe the process of DNA replication.

The method in which DNA replicates is called semi-conservative replication. Firstly, DNA helicase catalyses the break down of the hydrogen bonds between the base pairs in the DNA molecule. This partially unw...
LG
Answered by Lily G. • Biology tutor
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Briefly outline and evaluate normative social influence as an explanation for conformity. [4 marks]

Normative social influence (NSI) can be described as a desire to be accepted and/or liked by a group, which can lead a person to conform as this may be deemed as necessary to fit in with the group so that th...
TD
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