30 of the divisors are multiples of 3
The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
Answer:
10. 48 degrees 11. Use explanation below. 12. 25 degrees 13.Use explanation below. 14. 63 degrees 15. Use explanation below. 16. 130.5 17. A. 48 degrees B. 90 degrees and C. 42 degrees 18. Explain
Step-by-step explanation:
10. All triangles angles add up to 180 degrees, so 100+32=132 and 180-132=48
11. Use the explanation above.
12. Using the rule above 88+57=145 and 180-145= 25
13. Use explanation above.
14. Add the two answers from 10 and 12. 48+25= 63
15. Use explanation above.
16. Using the triangle 180 degrees rule add 90 degrees (Angle a is a right angle which is always 90 degrees) to 40.5 degrees. 40.5 + 90= 130.5
17. You have angle A (48) angle B is a right angle aka 90 degrees and using the rule 90+ 48= 138 and 180-138= 42
18. I think you can explain it now (I hope)
It’s easier to see with actual numbers therefore, since you are not given a total, say there are 20
Which means, 10 are peanuts, 5 are chocolate candies and 5 are dried fruit.
Out of the 20 options, there are 5 that are the chocolate candies.
This means there is a 5 in 20 chance you will pick the chocolate candies.
5/20 = ¼ (i.e. the likelihood to pick one is the same as the fraction of chocolate candies the bag contains)
