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2 years ago

Ernest has 3/4 of a yard of ribbon. She used 1/2 of it to wrap a gift. How much ribbon did she use

Mathematics

1 answer:

Ivenika [448]2 years ago

5 0

$\frac{3}{4} (yard) \times \frac{1}{2} = \frac{3}{8} (yard) \ \\$

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A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?

adoni [48]

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A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is

Monica [59]

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

$l^2 = h^2 +d^2$

$l^2 = 6^2 + d^2$

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We relate to: $2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}$

From the question;

l = 34,

So to find $\dfrac{dd}{dt}$ , we get;

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$d = \sqrt{34^2 - 36}$

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$d = \sqrt{1120}$

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$\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}$

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