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This question is from Test Paper 3 of Fitzpatrick's 3 unit textbook. ABCD is a quadrilateral and each of its sides is a tangent to a circle centre O. Prove that AOB + COD = 180. Thank you very much!!

33) A spacecraft is rising from the Earth's surface at 49m/s. At 980m the booster rocket tanks are jettisoned. a) Calculate how long the booster tanks take to fall back to Earth. b) Calculate the speed with which the booster tanks crash into the earth. Really confused... I'm getting 15s and...

I have 2 queries :) : 1) In the surfing book, they said that a spaceship in geostationary orbit is an inertial frame of reference. Why is this so? I thought it was non-inertial because even though the spaceship is travelling at a constant velocity, its direction is constantly changing, and so it...

8 people are to be into 2 groups. What is the probability that there will be 4 in each group? I'm getting 35/127 but the answer says 35/81. This is my working: (8C4) ÷ 2 / (8C1 + 8C2 + 8C3 + (8C4 ÷ 2) Thank you very much :)

Find the number of ways of seating 10 people around a table if three people are to sit together. The answer is 4320, but i got 30240. I did: Let the 3 people be one group. Therefore, there are 8 groups. Total arrangements of groups x arranging the 3 people in the one group (8-1)! x 3...

I'm confused with the working out in the Jacaranda textbook for this question: If the person standing on the platform yawned just as the train was passing through, and this yawn lasted 2.000 as measured by the yawner, what would be the duration of the yawn as measured by the train...

I have no idea how to do the two of these questions D: Any help is appreciated! 26) During the seven games of the football season, Max and Bert each miss three consecutive games. The games to be missed by each player are randomly and independently selected. a) What is the probability that...

This is from exercise 10H, in the Cambridge textbook. From a standard pack of 52 cards, three are selected at random. Find the probability that: they are from the same suit the answer is 22/425. I understand how to do it the 2 unit way (52/52 * 12/51 * 11/50) but i don't know how to work it...

From a standard deck of 52 playing cards, find how man five-card hands can be dealt: consisting of one pair and three of a kind The answer is 3744. I don't understand what the question is asking :S Thank you very much :)

Find how many arrangements there are of the letters of the word GUMTREE if a) the G is somewhere between the two Es b) the M is somewhere to the left of both Es and the U is somewhere between them c) the G is somewhere to the left of the U and the M is somewhere to the right of the U...

Or do they look at your mark for your HSC exam and then compare it to your year group and use this to estimate your assessment mark? I'm getting told different things by everyone. Some of my teachers say that 'it's not the mark that matters, it's the rank.' I think my question is a bit...

Find the number of arrangements possible if x people are a) in a straight line with 3 people together b) in a circle with 2 people not together The answer for a is 3!(x-2)! and the answer for b is (x-3)(x-2)! Can somebody please explain why? Thanks so much :)