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stealth61 [152]
3 years ago
10

PLEEEAAAASE HELLP!!!Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for th

e sandbox. Which height does she need to make the sandbox to fit all the sand?0.5 ft, 0.75 ft, 1 ft, 1.5 ft.
Mathematics
2 answers:
madam [21]3 years ago
8 0

Answer:

Step-by-step explanation:

The answer is 1.5 ft i just took the test

baherus [9]3 years ago
7 0

Answer:

The correct option is 4.

Step-by-step explanation:

The volume of a cylinder is

V=\pi r^2h

where, r is radius of the base and h is height of the cylinder.

It is given that the radius of the cylindrical sandbox is 2 ft and the volume of cylindrical sandbox is 18.84.

18.84=(3.14)\times (2)^2\times h        [\because \pi=3.14]

18.84=(3.14)\times 4\times h

18.84=12.56\times h

\frac{18.84}{12.56}=h

1.5=h

The height of the sandbox is 1.5 ft. Therefore the correct option is 4.

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3 years ago
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy
vesna_86 [32]

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

\frac{dC}{dt} = kC

In which k is the growth rate.

The solution is, applying separation of variables:

C(t) = C(0)e^{kt}

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that C(0) = 4.4

So

C(t) = C(0)e^{kt}

C(t) = 4.4e^{kt}

5.5 trillion BTUs annually after 5 years.

This means that C(5) = 5.5. We use this to find k. So

C(t) = 4.4e^{kt}

5.5 = 4.4e^{5k}

e^{5k} = \frac{5.5}{4.4}

e^{5k} = 1.25

\ln{e^{5k}} = \ln{1.25}

5k = \ln{1.25}

k = \frac{\ln{1.25}}{5}

k = 0.0446

So

C(t) = 4.4e^{0.0446t}

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This is C(9). So

C(9) = 4.4e^{0.0446*9} = 6.57

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

6 0
3 years ago
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