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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Draw the triangle - recognising that it is a right angled trianglefind the scale factoruse the formula: 0.5 x base x height = area To find the scale factor you must divide the total perimeter by the sum o...

SC
Answered by Stella C. Maths tutor
2500 Views

Solve the Simultaneous Equation: 2x + 3y = 15 and 5x + 4y = 13

Primarily, we should attempt to make either the x or y values of either equation be the same value, or the equivalent negative value. This is so we can add or subtract the equations to leave us with one v...

LH
Answered by Luke H. Maths tutor
7854 Views

Differentiate (3x^2-5x)/(4x^3+2x^2)

We can differentiate the expression using the quotient rule. If f(x)=u(x)/v(x) then f'(x)=(u'(x)v(x)-u(x)v'(x))/v(x)^2. In this case u(x)=3x^2-5x so u'(x)=6x-5 and v(x)=4x^3+2x^2 so v'(x)= 12x^2+4...

AI
Answered by Andras Ivan A. Maths tutor
4028 Views

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work

2/7 of 420 = 120 vanilla cakes35% of 420 = 147 banana cakes420 - 120 - 147 = 153 chocolate and vanilla cakes4+5 = 9153/9 = 1717*4 = 68

AF
Answered by Anna F. Maths tutor
16739 Views

Solve the equation x^2-10x+21=0

First of all notice the highest power on this equation is '2' so it must be a quadratic equation. Using the general form Ax^2+Bx+C=0 we must find two numbers that are factors of C and add together to get ...

SS
Answered by Simran S. Maths tutor
4878 Views

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