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ABC and BCD are two attached triangles, attached along line BC. AB = 5.8cm, AC=5.2cm, BD=4.3cm. Angle BDC = 30 degrees, and angle DCB is a right angle. Calculate angle CBA.

This question teaches the importance of drawing diagrams to figure out what a question is asking, as well as deeply testing how well the student understands trigonometry and equation rearrangement, combining...
CS
Answered by Charles S. • Maths tutor
6765 Views

Find the equation of the tangent to: y = X^2 + 3x + 2 at the point (2,12)

(1) Find the gradient using differentiation (2) If the gradient at (x 1 ,y 1 ) is m,y - y 1 = m(x - x 1 ) (1) We differentiate the given equation:dy/dx = 2x + 3 Then, find the gradient at (2,12). Sub x= 2 in...
SC
Answered by Samuel C. • Maths tutor
4586 Views

Divide £700 in the ratio 5:3:2

The total number of ' parts ' in this ratio is 5+3+2 = 10. So, to work out how much of the total corresponds to 1 part, we need to divide the total sum by the total number of parts: 700/10 = £70. Now, we can...
RB
Answered by Rohan B. • Maths tutor
46360 Views

Quadratic equation

I have choose a quadratic equation as a common question . This is for both GCSE & A-level student. (2x)^2-x-1=0 To solve this equation we have four methods:- Factoring Completing square Quadratic formula...
MA
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A voucher takes 12% off a bill at a restaurant. After using the voucher, the bill for a meal is £31.68. How much was the bill before using the voucher?

The best way to tackle this sort of worded problem is to create a solvable equation . Lets call the bill before the voucher was used, X. So, the price after the voucher was applied is: = X - 12% of X= X - 0....
RB
Answered by Rohan B. • Maths tutor
4624 Views