3 years ago

How many gallons of water would be need to completely fill a swimming pool with dimensions 10 ft by 15 ft by 6 ft?

Mathematics

2 answers:

Anni [7]3 years ago

8 0

Answer:

Around 257 gallons of water

Step-by-step explanation:

juin [17]3 years ago

7 0

Answer:

Around 257 gallons of water

Step-by-step explanation:

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

Volume of water remaining in the tank is $70-24=46\ \text{m}^3$

Suface area of base $\times$ depth = Volume

$5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}$

The depth of the water remaining in the tank is $9.2\ \text{m}$ .

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3 years ago

Will give brainliest Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 5x + 2 > 12 true? (5 points)

Radda [10]

Answer:

x = 3, 4, 5

Step-by-step explanation:

Solving the inequality

5x + 2 > 12 ( subtract 2 from both sides )

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Step-by-step explanation:

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