lol this sounds like the exact same question as the last (?) question in my school's 2U half-yearly exam.
oh really? haha what a coincidence
For a Year 10 paper is it quite hard, nevertheless a good question, even for 2U students.
Let me guess
haha, yeah it's close
It's a lot more than that
50.48 %?haha, yeah it's close
It's a lot more than that
The solution is quite simple if you do a tree diagram (or four), for year 10 level anyway
sureCorrect!
post working?
Anyone want to give these a go? They are not too bad once you start.1. If triangle PQR has side lengths 80, 60 and 40, then the shortest height is K times the longest height. Find the value of K.
2. A regular hexagon in inscribed in a circle or radius R. The length of the shortest diagonal is, find R.
O_O How do you even start these type of questions lol. Hints?
Hint for No. 1: Let the longest height be x and shortest be y. Use area formula.
Got the identical answer, although I had tree diagrams to solve it.sure
Part 1 - Picking 2 marbles from Bag A
3 possibilities - GG, GR, RR (G - green; R - red)
P(GG) =
P(GR) =
P(RR) =
Part 2 - Drawing 2 from Bag B
From Part A:
If GG is drawn - the marbles in Bag B will be GGGGGR - hence the chance drawing GR (different colour) =
If GG is drawn - the marbles in Bag B will be GGGGRR - hence the chance drawing GR =
If RR is drawn - the marbles in Bag B will be GGGGRR - hence the chance drawing GR =
Calculations
(following in form of (Part APart B))
GG
The Qs are pretty poorly worded. For example, my triangle which I have drawn would say otherwise that
What do you understand height to mean in the area formula? Same thing here.The Qs are pretty poorly worded. For example, my triangle which I have drawn would say otherwise that
Probably needs to specify the 'height'.
For the diagonals, did you treatas one side of the hexagon and solve via trig?
I see... Because I drew a right angled triangle with 80 as the hypotenuse and I just simply thought of the ratio between 40 (smallest height) to 80 (largest height) - not sure if that method is correct. Could you post a solution for the 1st Q actually?What do you understand height to mean in the area formula? Same thing here.
And for the hexagon, 9root(3) is the diagonal AC as shown in this random pic:
Don't worry too much. These Qs I've found posted here, are discriminating against rote learners. A few of the Qs posted here are just time consuming and ludicrous to work out and a few are just strangely worded. So long as you have a good grasp of what the Q is asking, you shouldn't have any problems if you know what method to use to follow up.
