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3 years ago

Hii pls answer it guys plz help me

Mathematics

1 answer:

Agata [3.3K]3 years ago

6 0

Answer:

7) 7/2 (its the only number between 3 and 4)

8) 7/10 ( its the only number between 3/5 and 4/5)

9) 5/8 (its the only number between 1/2 and 3/4)

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A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over a pulley that stands on a p

irina [24]

Answer:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

$x^{2} + y^{2} = z^{2}$

Differentiating the above equation with respect to time yields,

$2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2z\frac{dz}{dt}$

$x\frac{dx}{dt} + y\frac{dy}{dt} = z\frac{dz}{dt}$

dx/dt = 0 since dock height doesn't change

$y\frac{dy}{dt} = z\frac{dz}{dt}$

$\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}$

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

$\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}$

$\frac{dy}{dt} = \frac{13.93}{13}(2)$

$\frac{dy}{dt} = 2.14$ $ft/s$

Therefore, the boat is approaching the dock at rate of 2.14 ft/s

8 0

3 years ago

You bought a bag of tamales and one of your friends ate 1/5 of the entire bag and another friend ate 1/3 of the whole bag. How m

Serggg [28]

Answer:

There is 7/15 left in the bag

Step-by-step explanation:

So, you need to find a common denominator between 3 and 5 which is 15

multiply the numerator and the denominator by 3 in 1/5. Then, multiply the numerator and the denominator by 5 in 1/3.

1/3*5=5/15

1/5*3=3/15

Add them together.

5/15+3/15=8/15

Lastly, subtract 15/15 by 8/15

15/15-8/15=7/15

3 0

3 years ago

Please help 10 point

Volgvan

Answer:

it would be the first one 16

5 0

3 years ago

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Ben has a rectangular area 9 meters long and 6 meters wide. He wants a fence that will go around it as well as grass sod to cove

Blababa [14]

the formula for perimeter is l+l+w+w

So 9+9+6+6= 30 meters of fence

5 0

3 years ago

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Which graph accurately indicates the region, shaded in green, that would determine the solution for the

andreyandreev [35.5K]

Answer is 3.14272833858583

8 0

3 years ago

Hii pls answer it guys plz help me​

Hii pls answer it guys plz help me