The LCM for 20 and 30 is 60 because 20 times 3 equals 60 and 30 times 2 is 60
I added a screenshot with the complete question.
Answer:The radius increased by 0.6 in
Explanation:1- getting the radius before the ball is fully inflated:volume of sphere =
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Cpi%20r%5E3)
We are given that the volume before the ball is fully inflated is 180 in³. Therefore, we can solve for the radius as follows:
180 =
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
135 = π * r³
42.9718 = r³
radius = 3.5026 in
2- getting the radius after the ball is fully inflated:volume of sphere =
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
We are given that the volume after the ball is fully inflated is 294 in³. Therefore, we can solve for the radius as follows:
294 =
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
220.5 = π * r³
70.187 = r³
radius = 4.124958 in
3- getting the increase in the radius:increase in radius = radius after inflation - radius before inflation
increase in radius = 4.124958 - 3.5026
increase in radius = 0.622 which is approximately 0.6 in
Hope this helps :)
Answer:
742 points
Step-by-step explanation:
If Peeta's score is 100% and Val scored 30%, percent fewer points then Val must have scored (100 - 30)% of Peeta's score.
Therefore, if Peeta scored 1060 points then;
Val's score = 70% × 1060
= 742
Val scored 742 points. This is 70% of (or 30% fewer than) Peeta's score.
Answer:
3
Step-by-step explanation:
gradient = (7-1)/(3-1) = 6/2=3