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A boat travels due North at 5km/h for 3 hours, then changes course and sails due east for 2 hours, adjusting his speed to 8km/h. What is his total displacement from his original position?

Begin by setting up the problem with a diagram. Yu should draw a right angled triangle, with currently unknown lengths.2) Calculate the distance travelled for the two parts of the journey. Use Distance = spe...
EC
Answered by Emma C. • Maths tutor
3410 Views

Draw the graph for y = x^2 + 4x +2

This is a quadratic equation. So we know the shape will look something like this: (draw 'smiley face' shape. Plot some points showing for x=2, y = 4. For x =3, y =9. Show symmetry: a negative number squared ...
LO
Answered by Laura O. • Maths tutor
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A rectangular frame is made from 5 straight pieces of metal with height 5m and length 12m. One of the pieces of metal goes through the diagonal of the rectangle. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal

Firstly, I would suggest that we draw a diagram to visualise the problem. Using the diagram and knowledge of rectangles, you can see that the rectangle is made of two right angled triangles. Thus we can use ...
CB
Answered by Charlie B. • Maths tutor
18670 Views

Expand and simplify (3x + 2)(4x - 3).

Firstly, to expand the brackets, we can use the FOIL method to multiply them out. F irst - multiply the first numbers of each bracket. 3x * 4x = 12x^2 O uter - multiply the outer numbers of each bracket. 3x ...
VY
Answered by Vikki Y. • Maths tutor
7686 Views

Alex wants to buy a new phone. It costs £280. Alex’s weekly wage is £420. He saves 15% of his wage each week. How many weeks does it take Alex to save enough money to buy the phone?

Total wage each week= £420. In one week, he saves 15% of this: 15% of 420 is 0.15 x 420 = £63. So he saves £63 in one week. To calculate the total number of weeks it takes to save up for the phone, divide 28...
AM
Answered by Alexandra M. • Maths tutor
4561 Views