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Write the smallest composite number and find the LCM of the smallest prime number and the smallest composite number.

In Mathematics , we have a variety of numbers varying from smallest numbers as 0 - 9 to largest numbers as 7896543. These numbers are classified into diffe...

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How do I work out the area of a right-angled triangle?

In a right angle triangle, each leg represents a different measurement. The vertical distance from the base of the 90 degree angle to the tip of the triangle is...

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Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3

For this question you need to be aware of some of the trigonometric identities, which include the pythagorean identities and the double angle identities.Since w...

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What is the next number in the sequence? 7 18 29 40 51 ?

7, 18, 29, 40, 51Step 1: Begin with identifying whether there is a common difference in the sequence or not. 18-7=1129-18=1140-29=1151-40=11Step 2: As you...

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How do I work out the nth term?

7, 18, 29, 40, 51Supposedly we take the above-stated sequence and find its nth term. Now since we have already identified that this sequence has a common differ...

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Show that the value of cos(30) x tan(60) + sin(30) is an integer

In case the question states that you are not allowed to use the calculator, then you are supposed to remember the values given for each trigonometric ratio in t...

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How can I work out the area of a semi-circle with a diameter of 12cm?

The question asks to calculate the area of a semicircle which is half a circle so the area of a semicircle is half the area of a circle.Area of a semicircle = a...

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How do you find the nth term formula for a sequence with a non-constant difference?

To calculate the nth term formula of a sequence with non-constant difference.

  1. Calculate the difference between the terms.
  2. Calculate the change in...

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How to factorise?

Factorization is writing an expression as a product of factors. A factor is a number that divides a number or expression without a remainder.To factorize linear...

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What are the SUVAT equations and how would you apply them to a question?

What are the SUVAT equations and how would you apply them to a question?SUVAT equations are kinematic equations used when the velocity is not constant, i.e...

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