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
Answer:
(2,0) and (4,0)
Step-by-step explanation:
The roots of the parabola are the points where the value of the function is zero, i.e., where the graph crosses the x-axis.
(2,0) and (4,0)
Angle m = 60° because if all sides are congruent then all angles are congruent. a triangle’s angles add up to 180 so each angle equals 60°
Answer:
$3.72
Step-by-step explanation:
Divide $2.79 by 3
$0.93 is the price of one orange
$0.93 times 4 is $3.72
Hope this helps!
