Top answers

Maths
GCSE

A quarter circle represents a piece of land. The length of the straight sides is 100 ft each. If the land is enclosed by a fence, what is closest to the length, in feet, of the fence?

Perimeter of a quarter circle = (2πr)/4

r = 100ft

P = (2πr)/4 = (2×3.14×100)/4 = 157

Because we are calculating the length of the fence – as the fence goes aro...

GW
Answered by Gift W. Maths tutor
6919 Views

Sarah’s collection contains dresses, skirts and blouses. If the ratio of dresses to skirts is 7 to 4 and the ratio of skirts to blouses is 7 to 2, what is the ratio of dresses to blouses?

Skirts are common in both ratios.

Multiply both ratios by the factors such that skirts are represented by the same number

Dresses: skirts = 7: 4

Skirts: blouse...

GW
Answered by Gift W. Maths tutor
7792 Views

Rationalising the denominator (Surds)

When asked to rationalise simple Surd (square roots that cannot be reduced to a whole number) fractions in the form a/√b we are aiming to remove the surd in the denominator (bottom).----------------------...

GY
Answered by Galen Y. Maths tutor
19762 Views

Find the inverse of f(x) = 7x+4

To start make the equation equal y.
So y = 7x+4
Then rearrange the equation to make x the subject.
Subtract 4 from both sides: y-4 = 7x
Divide by 7: (y-4)/7 = x
Now write it in te...

JS
Answered by Joe S. Maths tutor
13101 Views

Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6

Factorise the quadratic: (4x + 3)(x - 2)

x = -0.75

x= 2

Now substitute these...

DA
Answered by Damilola A. Maths tutor
9960 Views

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