Answer:
495
Step-by-step explanation:
60x10=600
600-105=495
The rectangle that has area 400 has width 10, so its length is 40.
A = LW; L = A/W = 400/10 = 40
The length is 10 + 0.2 = 10.2. The width is 10 + 2 = 12
The multiplication is 10.2 * 12
40.2 * 12 = 40 * 10 + 0.2 * 10 + 40 * 2 + 0.2 * 2
40.2 * 12 = 400 + 2 + 80 + 0.4
40.2 * 12 = 482.4
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:
10.25
Step-by-step explanation:
1/4- is 0.25
SO
we don't have to change 10 because it is a whole number.
The answer is 10.25