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Natalka [10]
2 years ago
11

What is the LCM for 9 and 12

Mathematics
1 answer:
Serhud [2]2 years ago
8 0
36! goodluck hope it good
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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
Help plzzzzzzzzzzzzzzzzzzzzz
Lady bird [3.3K]

Answer:

like what type of help that i could help u

5 0
3 years ago
Read 2 more answers
The wills tower has a height of 1,451feet.what is the estimated height of the building in meters​
Ivan
Answer: around 442 meters
8 0
4 years ago
Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest
Reika [66]

Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

= 75

100-75

= 25

Amount of blue paint is

25/100×6.9

= 0.25×6.9

= 1.73

4 0
3 years ago
The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
kari74 [83]

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

5 0
3 years ago
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