1. Olivia is trekking for 17.4 km at a bearing of N38°E.
Calculate how far North of her starting point she is.

2. A ferry is travels on a bearing of 242° for 32km.
Calculate how far west of its starting point it is now.

3. What is the probability of getting
i) a Red card when drawing one card from a standard deck of cards.
ii) a heart or a 3 when once card is drawn

4. Calculate the volume and surface area of a cube with side length 5cm.

5. Find the change from $50 if I purchase 3 Sushi rolls at $4.50 each, 2 drinks costing
$3.75 each and 4 iceblocks priced at 4.20 each.

7. Factorise 8mn + 6n

6. Expand 3(2a - 5)

Round to 2 decimal places:
8. 3.1415

9. 247.435

10. 1348.997

Given right triangle xyz, which correctly describes the locations of the sides in relation to

Add the two expressions 3.8b - 7 and 2.9b + 9 enter your answer in simplified form

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?