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3 years ago

if a bathtub is being filled at a rate of 2.5 gallons per minute, how long will it take to fill the bathtub?

Mathematics

2 answers:

umka2103 [35]3 years ago

3 0

You need say how big the bathtub it is or you cant do it.

type the rest and ill try to answer it

Tatiana [17]3 years ago

3 0

Answer:

Let x = number of minutes

( 2.5 liters/min )*(x) = 30 liters

x = (30 liters) / (2.5 liters/min)

x = 30/2.5 min [note how liters cancel]

x = 12 min

Check:

Is 2.5*12 = 30 ?

30 = 30 ?yes

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3 years ago

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kap26 [50]

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3 years ago

Read 2 more answers

The number of seconds varies directly as the number of minutes. When 300 seconds have passes, 5 minutes have passed. If 480 seco

Stells [14]

Hello!

We know that 1 minute = 60 seconds.

5 minutes = 300 seconds because 60 × 5 = 300

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3 years ago

19 x 9 short division

Colt1911 [192]

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Step-by-step explanation:

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2 years ago

A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of th

Leno4ka [110]

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

The bearing of the buoy from the is approximately 307.35°

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

$\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}$

Therefore;

$\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}$

Which gives;

$\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}$

$\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}$

Similarly, we can get;

$\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}$

The angle subtended by the distance of the buoy from the port, C is therefore;

C ≈ 180° - 142.68° - 35° ≈ 2.32°

By alternate interior angles, we have;

The bearing of the warning buoy as seen from the ship is therefore;

Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°

Learn more about bearing in mathematics here:

brainly.com/question/23427938

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2 years ago