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3 years ago

I need help with a math question

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

3 0

Answer:

anoyon

Step-by-step explanation:

1+1 2/1 5÷561862999282827

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$28.5

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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:

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

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

$l^2 = 36 + d^2$

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

From the question;

l = 34,

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

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

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

$d = \sqrt{1156- 36}$

$d = \sqrt{1120}$

d = 33.46

So, we have:

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

$\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5$

$\dfrac{dd}{dt}= 1.016 \times - 5$

$\dfrac{dd}{dt}=-5.08 \ ft/sec$

4 0

3 years ago

1/2 = q + 2/3 and p - 3 1/6 = -18.73 please help, im giving 20 points

valina [46]

Answer:

see below

Step-by-step explanation:

1/2 = q + 2/3

Subtract 2/3 from each side

1/2 -2/3 = q+2/3-2/3

Getting a common denominator of 6

3/6 - 4/6 = q

-1/6 =q

p - 3 1/6 = -18.73

Add 3 1/6 to each side

p - 3 1/6 + 3 1/6 = -18.73 + 3 1/6

p = -18 73/100 + 19/6

Get a common denominator

p =- 5619/300 + 950/300

= -4669/300

=-15 169/300

6 0

3 years ago