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:
A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
The volume of the cone is:
V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.
V=pi×r²×h/3=pi×1.5²×5/3=11.775in³
The closest indicated value is the first one, 11.78in³
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades
Answer:
2√2.
Step-by-step explanation:
We use the Pythagoras Theorem:
x^2 = 2^2 + 2^2
x^2 = 8
x = √8
= 2√2.
