Answer:
B
Step-by-step explanation:
To find the distance we need to add the numbers:
2 - (-3/4) = 2 + 3/4
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
We first need to find the radius of the circle, so we need to do 8π/π which gives us a diameter of 8 cm, halving this gives us a radius of 4 cm.
The area of this circle will be:
A = πr^2
A = 4^2
A = 16π cm^2
Now to find the volume we simply multiply the area by the height:
16π × 7 = 112π cm^3 which is our final answer.
Step-by-step explanation:
Geometric mean is the square root of the product.
√(9 × 11) = √99 ≈ 9.950
