Answer: Centroid
<u>Step-by-step explanation:</u>
Medians intersect at the CENTROID
Altitudes intersect at the Orthocenter
Perpendicular bisectors intersect at the Circumcenter
Angle bisectors intersect at the Incenter
So if you have 30 oil, 24 photos, 21 sketches, the first thing I notice is that all of these numbers are divisible by 3. Since there are no specifications of how many rows for each category. You can divde the 30/10, 24/8, and 21/7 you would have 10 rows oil, 8 rows of photos, and 7 rows of sketches. In short, I believe your answer should be 3.
Hope this helps! Sorry if this explanation is unclear, please feel free to ask questions. <3
Answer: 186
<u>Step-by-step explanation:</u>
<u> Jazz </u> <u>Rock or Pop </u>
7-12: 200 - 142 = 58 142
13-18: 72 - 58 = 14 200 - 14 = 186
It is given that 142 out of 200 students in age group 7-12 like Rock or Pop.
Therefore, 200-142 = 58 in that age group like Jazz.
Total Jazz in both age groups is 72, so 72 - 58 (7-12: Jazz) = 14 students in age group 13-18 like Jazz.
There are 400 students total and 200 are in age group 7-12, which leaves 400-200 students in age group 13-18. 200 - 14 (13-18: Jazz) = 186 students in age group 13-18 like Rock or Pop.
Answer:
The change in the car's distance is 8 feet
Step-by-step explanation:
* Lets explain how to solve the problem
- A car is driving away from a crosswalk
- The distance d (in feet) of the car from the crosswalk t seconds
since the car started moving is given by the formula d = t² + 3.5
- The time increasing from 1 second to 3 seconds
- We need to now the change of the car's distance from the crosswalk
∵ The equation of the distance is d = t² + 3.5
∵ The time is 1 second
∴ d = (1)² + 3.5
∴ d = 1 + 3.5 = 4.5 feet
∵ The time is 3 seconds
∴ d = (3)² + 3.5
∴ d = 9 + 3.5 = 12.5 feet
∵ The change of the distance = d of 3 sec - d of 1 sec
∵ d of 3 sec = 12.5 feet
∵ d of 1 sec = 4.5 feet
∴ The change of the distance = 12.5 - 4.5 = 8 feet
∴ The change in the car's distance is 8 feet
