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Triangle ABC is a triangle with a right angle at vertex B. Length BC = 6cm and angle A = 30 degrees. How long is length AC?

Draw the triangle. BC is opposite to the angle given and we need to find the hypotenuse. Using SOHCAHTOA, we must use sine. Rearrange to find hypotenuse and then put the numbers in. Length AC = 12cm
CC
Answered by Courtney C. • Maths tutor
3919 Views

Where does the quadratic formula come from?

First take the general form of a quadratic equation, ax^2+bx+c=0, this can be written in completed square form, (x+b/2a)^2-(b/2a)^2+c/a=0, rearranging gives, x=-b/2a +/-(b^2/4a^2-c/a)^1/2, which can be writt...
BC
Answered by Becky C. • Maths tutor
4722 Views

Solve 4x^2 - 3x - 4 = 0

There are two different methods of solving this equation and it is important to find the method that you find easiest. The first method is to split up the numbers and the letters on both sides of the equatio...
OH
Answered by Oliver H. • Maths tutor
5542 Views

The circle c has equation x^2+y^2 = 1 . The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

When approaching intersection problems, it is important to have both equations and solve them by substituting one into the other or simultaneously. First we need to find the equation of the line l since we a...
ET
Answered by Ellen T. • Maths tutor
4367 Views

write ( 4 x 10^-3) x ( 9 x 10^14) in standard form

the first thing we need to do is rearrange the order of our question to ( 4 x 9 ) x (10^-3 x 10^14). now (4 x 9) = 36 (10^-3 x 10^14) = 10^(-3 + 14) = 10^11 so our answer is 36 x 10^11 however this is not in...
SS
Answered by Sam S. • Maths tutor
11661 Views