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3 years ago

A camel had to walk a distance of 11,040 m. After 4 hours, he still had to walk 920 m. How far did the camel walk per hour?

Mathematics

1 answer:

sergey [27]3 years ago

7 0

He walked 2,525 m per an hour.

11,040 - 920 = 10,100

10,100 / 4 = 2,525

Please mark brainliest.

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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

Answer Choices- 522, 136, 405, 2145, 628, 1340

slega [8]

Answer:

The answer to your question is 628 cm³

Step-by-step explanation:

Data

Cylinder Cone

Volume = 1884 cm³ Volume = ? cm³

radius = ? radius = ?

height = ? radius = ?

Process

1.- Write the formula to calculate the volume of a cylinder and a cone.

The Volume of a cylinder = πr²h

The Volume of a cone = 1/3πr²h

2.- If we observe the formula we notice that they are the same just the volume of a cone is the third part of the volume of a cone.

3.- Find the volume of a cone

Volume of the cone = 1/3(1884)

Volume fo the cone = 628 cm³

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3 years ago

Please help quickly!

arlik [135]

Answer:

Step-by-step explanation:

Since both graphs are straight lines passing through the origin, then they both display a proportional relationship

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What number is equivalent to 7/15

svp [43]

Answer:

0.5385

-or-

7/13, 14/26, 21/39, 28/52, 35/65, 42/78, 49/91, 56/104, 63/117, 70/130, 77/143, 84/156

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What is the order of the angles from smallest to large

stepladder [879]

It would probably be BAC

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