Answer: 24.49 or 24.5 if rounded.
Step-by-step explanation: We have to use the pythagorean theorem of course...
a² + b² = c²
15² + 20² = c²
225 + 400 = c²
600 = c²
c = 24.49 (If we round to the nearest tenth then the answer is 24.5)
Residential speed limit is 40 mph unless otherwise posted. Residential speed limit is 30 mph unless otherwise posted.
hope this helped
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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:
x = 1
GF = 12
GH = 15
FH = 3
Step-by-step explanation:
G___F___H
GH = GF + FH
11x +4 = ( 3x +9) + (5x-2)
11x+4= 8x + 7
11x - 8x = 7-4
3x = 3
x =3/3
x = 1
GF = 3x + 9 = 3(1)+9=3+9=12
GH = 11x +4= 11(1)+4=11+4 = 15
FH = 5x - 2 = 5(1) - 2 = 5 - 2 = 3
I hope I helped you^_^
