Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is 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(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
<h3>The surface area in square meters that Darren has to paint is

</h3><h3>∴

</h3>
Step-by-step explanation:
Given that Darren is painting a wooden block is a rectangular prism
Its length is 12 cm ,width is 9 cm and height is 5 cm
<h3>To find the surface area in square meters that Darren has to paint :</h3>
Let l be the length, w be the width and h be the height
Then l=12 cm , w=9 cm and h=5 cm
The formula for the Surface area is
A=2(lw+wh+hl) square units
Substitute the values in formula we get,
A=2(12(9)+9(5)+5(12))
=2(108+45+60)
=2(213)
=426
<h3>∴

</h3><h3>∴ the surface area in square meters that Darren has to paint is

</h3>
Answer:
The surface area applies to how much space a SOLID objects occupies while volume is the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains, so volume can be anything.
Step-by-step explanation:
you can't really write an essay-
Carrie could have 3 vases filled with 100 marbles, and 4 vases filled with 10 marbles. Hope I helped!
Answer:
You have to pay close attention to the Order of Operations.
10(6+4)/2. Grouping symbols first.
6+4=10.
10(10)/2
10*10=100.
100/2.
50 is your answer
Step-by-step explanation:
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