Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
Answer:
84 pieces of fruit.
Step-by-step explanation:
I got this answer by doing 12*6 = 72, but this is not our final answer because we still have to add the pineapples which gives us 84.
Hope this helps!!
An complementary angle = 90°
one of the angles is twice as large as the smaller one
let the larger angle be x, and the smaller = y
x = 2(y)
x + y = 90
Plug in 2y for x
2y + y = 90
simplify, combine like terms
2y + y = 90
3y = 90
isolate the y, divide 3 from both sides
3y/3 = 90/3
y = 90/3
y = 30
plug in 30 for y in the equation x + y = 90
x + (30) = 90
isolate the x, subtract 30 from both sides
x + 30 (-30) = 90 (-30)
x = 90 - 30
x = 60°
The measurement of the larger angle is 60°
hope this helps
Answer:
100000 × 1.04 × 1.04
Step-by-step explanation:
108160
