Top answers

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...
ES
Answered by Eloise S. • Maths tutor
9245 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...
RS
Answered by Rikesh S. • Maths tutor
3732 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
RS
Answered by Rikesh S. • Maths tutor
4888 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
23832 Views

How to I solve system of simultaneous equations (3x3)?

The quickest way would be to find determinants of the matrix; this way we can verify whether the matrix has unique (then we can directly calculate it) solution, infinite number of solutions or no solution. I...
KB
Answered by Kuba B. • Maths tutor
1730 Views