Answer: 3.6
Step-by-step explanation: 3x1.2= 3.6
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:
Step-by-step explanation:
<u>The billiard cue is 15 cm away from the table</u>
- This refers to coordinates of (15, 0)
<u>The billiard cue touches the table at a point 60 cm off the ground</u>
- This refers to coordinates of (0, 60)
<u>The slope is as per slope formula;</u>
- m = (60 - 0)/(0-15) = 60/ -15 = -4
Thea answer is -4
2.6 x 6 = $15.6 . That’s the answer I’m pretty sure! Goodluck!
