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A right-angle triangle has a hypotenuse of 8cm and an angle of 30 degrees. What is the opposite's length?

sinx = o/h sinx x h =o sin30 x 8 = 4cm The opposite is 4cm

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Solve the simultaneous equations 5x+2y=13 and x-2y=5.

5x+2y=13 + x-2y = 5 6x =18Firstly you need to either add or subtract one equation from the other. The way to decide this is to either focus on the x's or the y's. The trick to solving these simult...

Answered by Amy J. • Maths tutor

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Raya buys a van for £8500 plus VAT at 20%. Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month. Find the ratio of the deposit Raya pays to the total of the 12 equal payments.

First find total cost with VAT. £85001.2 = £10200
To find deposit:£10200 - (12£531.25) = £ 3825
To find ratio:3825 : (12*531.25)3825 : 63751 : (6375/3825)1 : 1.6^.

Answered by Meg P. • Maths tutor

4878 Views

There is a Wheel of Fortune. The Wheel is numbered 1-15. Each section is equal in size. If the spinner lands on your number you win a prize. Ali has the number 6. What is the probability that he wins a prize? Give answer as percentage to 2 d.p

So because the wheel is split into equal segments. We can assume that if Harry has a single number then there is a 1/15 chance of Harry's number being chosen. To find the percentage you need to type 1 div...

Answered by Ama O. • Maths tutor

3088 Views

LOWER TIER a) Multiply the following out: (x+3)(x-4). b) Factorise the following equation into two bracket form: x^2+7x+12

a) Use FOIL to multiply out these bracketsF: x²O: -4xI: +3xL: -12 x²-4x+3x-12 = x²-x-12b) Find two common numbers that ADD UP to give +7, and MULTIPLY TOGETHER to give 12<...

Answered by Jonathan V. • Maths tutor

2614 Views