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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 Hypot...
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Answered by Eloise S. • Maths tutor
9217 Views

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.ax 2 + bx + c = 0x 2 + 6x + 2 = 0a = 1, b=6, c=2Once substituted in, we get 2 values...
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Answered by Rikesh S. • Maths tutor
3722 Views

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

First of all we must factorise this:x 2 + 6x + 8 = 0(x+4)(x+2) = 0Now we make each bracket = 0 and solve for x.x+4 = 0 x+2 = 0 x = -4 x = -2
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Answered by Rikesh S. • Maths tutor
4873 Views

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 49cm 2 , therefore we are able to form the equation πr 2 =49 (where r = radius of the circle). We can now work out the radius of the circle by rearranging...
SJ
Answered by Sian J. • Maths tutor
23811 Views

Describe how a sample of copper chloride crystals could be made from copper carbonate and dilute hydrochloric acid.

To make crystals of copper chloride from copper carbonate andd dilute HCl, you will firstly need to add an excess of copper carbonate to the dilute HCl (keep adding until no more reacts). Next, take the solu...
SJ
Answered by Sian J. • Chemistry tutor
31460 Views