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Maths
GCSE

ABCDEFGH is a cuboid. AB=5.6 cm CH=7.2cm. Angle BCA=44degrees. Find the size of the angle between AH and the plane ABCD giving your answer correct to one dp.

Remember: sinθ=opposite/hypotenuse cosθ=adjacent/hypotenusetanθ=opposite/adjacentAC=5.6/sin(44) = 8.0615...We can then use this length to calculate the angle between AH and the pl...

AR
Answered by Alex R. Maths tutor
4152 Views

How do I skecth a grpah of y = x^2 - 7x + 10?

To plot any graph, you usually only need to find a few points that are on that graph to the sketch it. With a quadratic like this, the easiest way to do this is to find where the graph crosses the x and y...

IB
Answered by Ilaria B. Maths tutor
5893 Views

There are n sweets in a bag. 6 of them are orange, the rest are yellow. Hannah takes a random sweet, she eats the sweet and repeats again. The probability that hannah eats two orange sweets is 1/3. Show that n2 - n - 90 = 0.

The best way to think approach question is thinking of it like a tree diagram.We know there are n sweets in total. Therefore the probability of eating 1 orange sweet the first time is 6/n.The probability ...

SN
Answered by Selina N. Maths tutor
2767 Views

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.

As we know the ratio of the sides is 3:4:5, label the sides x,y and z respectively. Side x is of length (3/12)*72, side y is of length (4/12)*72 and side z is of length (5/12)72. Giving, x = 18cm, y =...

VS
Answered by Viresh S. Maths tutor
2469 Views

How do you solve these simultaneous equations? 4x + 5y = 8; 2x + 3y = 5

By elimination:(eq1) 4x + 5y = 8(eq2) 2x + 3y = 5By eye you can see that 2x multiplied by 2 is 4x.If we multiply the whole of (eq2) by 2 we get:(eq2.1) 4x + 6y = 10(eq1) 4x + 5y = 8If we subtract the whol...

WL
Answered by Wendy L. Maths tutor
4868 Views

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