Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Step-by-step explanation:
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Answer:
Required ordered pair is (0,0) for system of equation
Step-by-step explanation:
The given system of equation is
A). 
B). 
On simplifying the equation A
Take log on both side,
(12x) (log9) = (3y) (log9)
4x=y
To find the solution of the system of the equation :
Replacing value of y=4x in equation B,
We get,
x=0 and x=0.829
Since, 0.829 is not integer number
Only solution of equations is x=0
For the value of y
Replace value x in y=4x=0
Thus, Required ordered pair is (0,0)
<1 = <2
vertical angles (congruent)
<3 = <2
corresponding angles (congruent)
so that: <1 = <2 = <3 = 112 degree
