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3 years ago

You are filling a 5-L fish tank using a 259-ml container. How many full containers are required to fill the fish tank?

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

5 0

5L=5000 ml
5000ml:259 ml≈ 84.74
That means 84 full containers.

slega [8]3 years ago

4 0

It would take 19.31 full containers to fill the fish tank.
There is 1000 ml in a L making it 5000 ml needed to fill the tank.
Divide the 5000 ml by 259 ml to get your answer.

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a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no

Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

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Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

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By sine rule we have

$\frac{sin A}{a} = \frac{sin B}{b}$

Therefore,

$\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}$

α = Angle between radar and ship α

∴ α = 58.052

Where we put

$\frac{sin 45}{6.25} = \frac{sin \alpha }{x}$ to get

$\frac{x}{6.25} = \frac{sin \alpha }{sin 45}$ and differentiate to get

$\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt} }{sin 45}$

$\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt} }$ = 3.208 degrees/second = 0.05599 rad/sec.

6 0

3 years ago

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kotykmax [81]

Answer:

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Step-by-step explanation:

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2 years ago

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uranmaximum [27]

6.5x10^7
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Gre4nikov [31]

Answer:

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Step-by-step explanation:

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