Answer:
.
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (10, - 6) and r = 6, hence
(x - 10)² + (y - (- 6))² = 6², that is
(x - 10)² + (y + 6)² = 36
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by
Answer:
9a-7
Step-by-step explanation:
8a-6+a-1
Collect like terms
8a+a-6-1
= 9a-7