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A farmer has a garden shaped into an isosceles triangle. Its side is 7m. He needs to enclose the perimeter, using copper wires, in order to avoid undesirable incidents. Each meter of copper wire cost 2£. How much does he need to pay to secure his garden?

Each side of the triangle is 7 meters, because it is an isosceles triangle. P= perimeterP = 7 +7 +7 P= 21 meters
Each meter of copper wire costs 2 £ so,
Total cost= Perimeter in meters * Cost ...

Answered by Iosif D. • Maths tutor

2826 Views

Julia wants to buy a new computer. 20% VAT is added to the price of the computer so that she now has to pay £300. What was the original price of the computer without VAT.

First the most important aspect to recognize is that the original price of the computer is 100%, the additional 20% of VAT makes the total value of the computer change to 120%. Therefore, the 120% = £300....

Answered by Patricio S. • Maths tutor

4569 Views

Differentiate with respect to x, y = (x^3)*ln(2x)

By product rule,
dy/dx = x³(2/2x) + 3x²ln(2x)
= x²(1 + 3ln(2x))

Answered by Thomas M. • Maths tutor

5788 Views

John ran a race at his school. The course was measured at 450m correct to 2sf and his time was given at 62 econds to the nearest second. Calculate the difference between his maximum and minimum possible average speed. Round you answer to 3sf.

Upper bound for distance: 455mLower bound for distance: 445mUpper bound for time: 62.5sLower bound for time: 61.5sSpeed = Distance/timeMaximum possible average speed would be the longest distance divided ...

Answered by Gideon E. • Maths tutor

3569 Views

a) Point A(6,7,2) lies on l1. Point B(9,16,5) also lies on l1. Find the distance between these two points. b) l2 lies in the same z plane as l1 and crosses l1 at A and is perpendicular to l1. Express l2 in vector form.

a) Distance between two points ((x2- x1)^2 + (y2-y1)^2)^1/2Substitute in values to find distance.b) Write out l1 in vector form using info from points A and B.Use knowledge of scalar product to construct ...

Answered by Adam N. • Maths tutor

2589 Views