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The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

Area of a square (As) = Side length (L)2

L = square root As

L = square root 49

L = 7 cm

Perimeter (P) = 4L

WD
Answered by William D. Maths tutor
15262 Views

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

Step 1:

We begin solving this problem by finding the gradient of the tangent line at H, which is equal to dy/dx.

In this case, our curve has equations  x = 3sinθ and ...

PK
Answered by Pantelis K. Maths tutor
8544 Views

Express (3x^2 - 3x - 2)/(x-1)(x-2) in partial fractions

Step 1:

When asked to exrpess something in partial fractions, we first compare the power of the numerator to the power of the denominator.

In our case we have that th...

PK
Answered by Pantelis K. Maths tutor
18852 Views

Find the roots of the quadratic equation, x^2 - 8x + 24 = 0, by completing the square.

Step 1:

The fisrt step is to use the following formula when asked to complete the square,

( x + (b/2) )2 - (b/2)2 + c = 0

Step ...

PK
Answered by Pantelis K. Maths tutor
7122 Views

Suppose you are given a rectangle where the length is equal to 2x+4 and its width is equal to 3x-2. Assuming that the perimeter is equal to 54 cm, what's the value of x?

Step 1:

For a rectangle, we know that opposite sides are equal

Hence we use this information to draw a rectangle and lab...

PK
Answered by Pantelis K. Maths tutor
4511 Views

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