C.supplementary is the right one
#4) 1/6
#5) 1/2
#6) 4/15
#7) 8/15
#8) 11/15
#9) 12
#10) 15
#11) 112
Explanation
#4) There is one section marked 5 out of 6 sections.
#5) There are three odd-numbered sections out of 6 sections.
#6) 2 blue were tossed 4 times out of 15 tosses.
#7) 1 blue and 1 pink were tossed 8 ties out of 15 tosses.
#8) All blue was tossed 4 times out of 15; this means that all blue was not tossed 15-4=11 times out of 15.
#9) There are 4 choices for location and 3 choices for transportation; 4(3) = 12.
#10) There are 3 choices for level and 5 choices for character; 3(5) = 15.
#11) Since 30% are rock, 100%-30% = 70% are not rock. 70% = 70/100 = 0.7; 0.7*160 = 112.
Write it as a fraction then simplify. Use a calculator.
Answer:
- Question 1a. i)

- Question 1a. ii)

- Question 1b)

Explanation:
<u><em>Question 1 a. i) Find the value of x.</em></u>

For the smalll triangle you can write:

For tthe big triangle:

Substitute:

Solve for x:

<u><em>Question 1a ii) Find the volume of the frustrum</em></u>
- Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m
Formula:

Substitute:

- Find the volume of a cone with heigth = 1.8m and radius = 1m

- Subtract the volume of the small cone from the volume of the big cone

<u><em>Question 1b. Calculate the volume of the bin</em></u>
<u>i) Upper frustrum</u>
This is the same frustrum from the equation of above, thus ist volume is 27.6m³.
<u>ii) Lower frustrum</u>




<u>iii) Add the volume of the two frustrums</u>