A professional fireworks team shoots an 8-in. mortar straight upwards from ground level with an initial speed of 256 ft/sec. a. Write a function modeling the vertical position s(t) (in ft)) of the shell at a time t seconds after launch. b. The mortar is designed to explode when the shell is at its maximum height. How long after launch will the shell explode? (Hint: Consider the vertex formula from Section 3.1.) c. The spectators can see the shell rising once it clears a 200-ft tree line. For what period of time after launch is the shell visible before it explodes?

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

i dont know sorry

step-by-step explanation: