Answer:
112π = 351.86 cubic centimeters of fluid to fill the cylinder
Step-by-step explanation:
The volume of cylinder = πr²h⇒ r its radius , h its height
V = π(4)²(7) = 112π = 351.86 cm³
Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
Answer:
-1/2
Step-by-step explanation:
the slope of the line 2x-y=5 is 2
a perpendicular line has the negative reciprocal of the slope of the other line
hopefully this helps :)
Answer:
36
Step-by-step explanation:
Answer:
B (7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[
,
] ← midpoint formula
let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is
= 2.5 ( multiply both sides by 2 )
- 2 + x = 5 ( add 2 to both sides )
x = 7
= - 1.5 ( multiply both sides by 2 )
- 7 + y = - 3 ( add 7 to both sides )
y = 4
Thus
coordinates of B = (7, 4 )