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Increase 35 by 20%:

An increase by 20% is the same as multiplying by 1.2Therefore, 35 x 1.2 = 42

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Given a right-angled triangle with an angle of 35 degrees and an Opposite side of 12cm, calculate the length of the hypotenuse to 3 significant figures.

First, determine which of SOH-CAH-TOA you need to use. As this question involves the Hypotenuse and the Opposite side, use Sine. As such, write out the equation as: sin(35) = 12/x. (Let x represent the Hy...

Answered by Eloise S. • Maths tutor

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Solve for x to 3dp: x^2 + 6x + 2 = 0

We cannot factorise this so we shall use the quadratic formula instead.We need to substitute in the values for a, b, and c.ax² + bx + c = 0x² + 6x + 2 = 0a = 1, b=6, c=2Once substitu...

Answered by Rikesh S. • Maths tutor

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Solve for x: x^2 + 6x + 8 = 0

First of all we must factorise this:x² + 6x + 8 = 0(x+4)(x+2) = 0Now we make each bracket = 0 and solve for x.x+4 = 0 x+2 = 0x = -4 x = -2

Answered by Rikesh S. • Maths tutor

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A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49 cm^2. Work out the value of x. Give your answer correct to 3 significant figures.

The question tells us that the area of the circle is 49cm², therefore we are able to form the equation πr²=49 (where r = radius of the circle). We can now work out the radius of the ...

Answered by Sian J. • Maths tutor

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