Correct answers in reasoning and statements together.
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Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
Answer:
<u>r=6</u>
Step-by-step explanation:
3 = r/2
6 = r
Answer:
I think the answer is one over three
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
