Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions
Step-by-step explanation:
Let x be the number.
Then the algebraic expression will be x^2 + 11x.
Options B and C,
20 jars of honey and 6 honeycombs
30 jars of honey and 9 honeycombs
Since 20/10 = 2, we need to make sure that the number of honeycombs is 3*2 = 6.
The same goes for the Option C, since 30/10 = 3, we need to make sure that 3*3 = 9.
Okay, that might have been a bad explanation.
For Option B, we know that he has 20 jars of honey, right? Since he brings 10 jars of honey for every 3 honeycombs, we divide 20 by 10 (20/10) , which gives us 2. This means that he brought 2 groups of ten jars of honey. We also know that for every group of ten jars, he brings 3 honeycombs, meaning that he brought 2 groups of three honeycombs. 3 times 2 is 6, showing that the Option B is correct. The same goes for Option C. He brought 3 groups of ten jars of honey, and 3 groups of 3 honeycombs.
Answer:
42.5%
Step-by-step explanation: