Answer:
PC = 12 units
AP = 10 units
Step-by-step explanation:
- The centroid of a triangle is the intersection of the three medians of the triangle
- Each median connecting a vertex with the midpoint of the opposite side
- The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex
In ΔACE
∵ P is the centroid of it
∴ P divides CF the ratio 2: 1 from C
∴ PC = 2 PF
∵ PF = 6 units
∴ PC = 2(6)
∴ PC = 12 units
∵ P divides AD at the ratio 2: 1 from A
→ That means AD = 2 + 1 = 3 parts, and AP =
AD
∴ AP =
AD
∵ AD = 15 units
∴ AP = AP =
(15)
∴ AP = 10 units
Answer:
A: 42
Step-by-step explanation: 10.5x4=42
Steps To Solve:
x² + 6 = 10
~Subtract 6 to both sides
x² + 6 - 6 = 10 - 6
~Simplify
x² = 4
~Take square root of 4
x² = ±√4
~Simplify
x = -2 or x = 2
Best of Luck!
Turning clockwise means the number increase, and counterclockwise means the number decreases
Therefore your answer is 37 + (3*1/2)-(3*1/4)
= 37.75
Hope this helped :)
Answer:
381.51 in^3
Step-by-step explanation:
Volume of a sphere = 4/3 x pi x r^3
r = 9/2 = 4.5
4/3 x 3.14 x 4.5^3 = 381.51 in^3