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Elan Coil [88]
2 years ago
7

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/4754f4a223dda84b047a17d84e74d496?ut

m_source=invite&utm_medium=link&utm_campaign=bfp_qpage_box&utm_term=parent plz help this man i need 2 answers
Mathematics
1 answer:
erastovalidia [21]2 years ago
7 0

Answer:

Step-by-step explanation:

1 answer

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a dock is 5 feet above water. suppose you stand on the edge of the dock and pull a rope to a boat at a constant rate of 2 ft/s.
Firdavs [7]

Answer:

The boat is approaching the dock at a speed of 3.20 ft/s when it is 4 feet from the dock.

Step-by-step explanation:

The diagram of the situation described is shown in the attached image.

The distance of the boat to the dock along the water level at any time is x

The distance from the person on the dock to the boat at any time is y

The height of the dock is 5 ft.

These 3 dimensions form a right angle triangle at any time with y being the hypotenuse side.

According to Pythagoras' theorem

y² = x² + 5²

y² = x² + 25

(d/dt) y² = (d/dt) (x² + 5²)

2y (dy/dt) = 2x (dx/dt) + 0

2y (dy/dt) = 2x (dx/dt)

When the boat is 4 ft from dock, that is x = 4 ft,

The boat is being pulled at a speed of 2 ft/s, that is, (dy/dt) = 2 ft/s

The speed with which the boat is approaching the dock = (dx/dt)

Since we are asked to find the speed with which the boat is approaching the dock when the boat is 4 ft from the dock

When the boat is 4 ft from the dock, x = 4 ft.

And we can obtain y at that point.

y² = x² + 5²

y² = 4² + 5² = 16 + 25 = 41

y = 6.40 ft.

So, to the differential equation relation

2y (dy/dt) = 2x (dx/dt)

when x = 4 ft,

y = 6.40 ft

(dy/dt) = 2 ft/s

(dx/dt) = ?

2 × 6.40 × 2 = 2 × 4 × (dx/dt)

25.6 = 8 (dx/dt)

(dx/dt) = (25.6/8) = 3.20 ft/s.

Hope this Helps!!!

4 0
3 years ago
the world's largest Apple had a mass of 1849 grams sue said the mass was greater than 2 kilogram does she stament make sense plz
Monica [59]
No, 2 kilograms are 2000 grams.
6 0
3 years ago
At a ceramic shop, each cup is $6.30 cheaper than each plate. If you totally spent $28.50 for 5 cups and 3 plates, what is the p
Alex Ar [27]
Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate

we know that

5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2

I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2

the answer is
the price of each cup is $1.2
 the price of each plate is $7.5


8 0
3 years ago
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
OlgaM077 [116]
It would take her 20 or 19 days
3 0
3 years ago
the amount of Water and Electric Dishwasher uses to wash dishes varies directly with the number of loads of dishes the dishwashe
Neporo4naja [7]

It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80. Hope this helps you!

8 0
3 years ago
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