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Lera25 [3.4K]
2 years ago
6

Choose correct response

Mathematics
1 answer:
Illusion [34]2 years ago
7 0

Answer:

D

Step-by-step explanation:

11.1/0.01=11.1*100=1110

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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
Plz help with this one I have ten minutes to turn it in! Will give u points! And mark u BRAINLY
Neporo4naja [7]
I think it’s -3,0,0 but i’m not 100% sure
8 0
3 years ago
Read 2 more answers
PLZ HELP: the answer to 5(x-1) the answer to this cannot be found online. THIS IS SIMPLE MATH I'M STILL CONFUSED SO PLZ EXPLAIN
777dan777 [17]
That would be 5x-5 because the number inside is multiplied by the numbers inside due to the brackets. Hope u understand my explanation.
4 0
3 years ago
What is 17 times 5 decided by 8
alekssr [168]
17x5/8 is 10.6 i believe
8 0
2 years ago
5y+x2÷2 when x=4 and y= -3. when x=4 and y=-3, 5y + x2 ÷2= ​
Leona [35]

Answer:

answer of given question is -7/2

8 0
3 years ago
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