It is an equation you have to solve.
m times p / n
mp/n
Answer:
Step-by-step explanation:
The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
hope this helps
Answer:
x=2
Step-by-step explanation:
let the unknown number be x
now we are to find x regarding the question as an equation, let's form the equation to solve for x
the interpretation of the question is:
(x² + x)/3 = x
by collecting the like terms:
(x²+ x) = 3x
x² + x = 3x
x² = 3x - x
x² = 2x
x = 2
Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³