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:
B) $697.87
Step-by-step explanation:
Answer:
18 is the GCF for 18 and 54
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
Answer:
An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.
Step-by-step explanation:
An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.
Now, the conditions for which an equation will be called a perfect square trinomial are;
i) It is of the form: ax² + bx + c
I) It satisfies the condition: b² = 4ac.
Thus, the perfect square formula could take the following forms:
(ax)² + 2abx + b² = (ax + b)²
Or
(ax)² − 2abx + b² = (ax − b)²
