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What is a good rule to find angles in a right angled triangle?

In any right angled triangle , for any angle:The sine of the angle = the length of the opposite side the length of the hypotenuseThe cosine of the angle = the length of the adjacent side the length of the hy...
SF
Answered by Shirley F. • Maths tutor
3358 Views

2x + y = 18; x−y=6

This is an an example of simultaneous equations, no single equation can give us the answer. Were going to use the substitution method. We will call this equation 1: 2x + y = 18, and this equation 2: x-y=6. A...
TA
Answered by Tamara A. • Maths tutor
4518 Views

Find the derivative of x^3 - (y^2)x =3

Differentiating with respect to x gives:3x^2 -y^2- x 2y(dy/dx) = 03x^2 -y^2 = x2y(dy/dx)dy/dx = (3x^2 - y^2)/2xy
NH
Answered by Nims H. • Maths tutor
3540 Views

Steve wants to put a hedge along one side of his garden. He needs to buy 27 plants for the hedge. Each plant costs £5.54 Steve has £150 to spend on plants for the hedge. Does Steve have enough money to buy all the plants he needs?

5.54 x100 = 554 554 x 27 = 3878 + 11080 = 1495814958 / 100 = 149.58 149.58 < 150 Therefore Steve does have the money to buy all 27 plants.
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Answered by Vrinda N. • Maths tutor
5771 Views

Prove Wilson's Theorem, i.e. (p-1)! = -1 (mod p) for any prime number p.

Claim : For any prime p: (p-1)! = -1 (mod p) Proof: For p=2: 1! = 1 so the equality obviously holds. Therefore, we need to consider cases when p is odd. Let's consider set: {1, ... , p-1}. With operation * m...
MP
Answered by Mateusz P. • Maths tutor
8158 Views