The sentence sequence is "BDAC".
<u>Step-by-step explanation</u>:
- Derek is rolling a die many times and he is recording when he rolls a dice of three. So we have to identify from largest to smallest.
- The first largest is 30 times. Because of 3*10=30, so he rolls three ten times. So the first option is B.
- The second largest is 20 times. Derek rolled dice three-six times because of 3*6=18. So the second option is D.
- The third-largest is 10 times. In this, he rolls three times. Because of 3*3=9. So the option is A.
- The final option is C. Derek rolls five times. 3*1=3. In this, he rolled only one time. So the sequence is BDAC.
This question is based on prime factorization method.
As given there are 12 peaches and 18 nectarines
Factors of 12 are : 2,3,4,6 and 12
Factors of 18 are : 2,3,6,9 and 18
As mentioned, fruits are divided into the same number of equal groups, so the groups can be formed as-
1. 6 groups of peaches with 2 in each and 6 groups of nectarines with 3 in each,
2. 3 groups of peaches with 4 in each and 3 groups of nectarines with 6 in each.
3. 2 groups of peaches with 6 in each and 2 groups of nectarines with 9 in each.
Answer:
17.3
Step-by-step explanation:
a² = b² + c² - 2bc cos A
t² = 11² + 14² - 2(11)(14) cos 87
t² = 121 + 196 - 308 (.052336)
t² = 300.88
t = 17.3
