Answer:
20 hours
Step-by-step explanation:
We can work easier if we think in terms of an hour
the first equation that we can write is
A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)
the second equation we can write is
A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)
the third equation that we can write is
B = 2C (its meaning is that in an hour B fill 2 times C the cistern)
now we can substitute the value of B in the first two equations
A + 2C = 1/4
A + C = 1/5
A = 1/5 - C
1/5 - C + 2C = 1/4
C = 1/4 -1/5
C = (5-4)/20
C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)
A = 1/5 - 1/20
A = (4-1)/20 = 3/20
B = 1/20 *2 = 1/10
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
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Answer:
V=65.94 in^3 (inches cubed)
Step-by-step explanation:
V=πr^2h/3
h = 7
r = 3
V = (3.14)(3^2)(7/3)
V= (3.14)(9)(2.333)
V=65.94 in^3
A=3
b=-6
c=1
x=(-b±<span>√(b^2-4ac))/2a
x=(6</span>±√(36-12))/(6)
x=(6±√(24))/(6)
x=(6±2√(6))/(6)
x=(3±√(6))/(3)
x≈1.82
x≈<span>.184</span>