761,994 would be the answer to 763,994 - 2,000
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).
Well, one angle has one share of the linear angle, and the other one has five shares. All together, they add up to six shares of the linear angle.
BUT ... a linear angle adds up to 180°. So each share must be (180°/6) = 30°.
The smaller one (one share) is 30°, and the larger one (5 shares) is 150°.
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:
70
Step-by-step explanation:



