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ELEN [110]
3 years ago
9

A man flies a kite at a height of 15 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast

must he let out the string when the kite is flying on 32 ft. of string?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0

Answer:

4.4 ft/s

Step-by-step explanation:

Height = 15ft

Rate= 5 ft/s

Distance from the man to the kite= 32ft

dh/dt = 5 ft/s

h = √32^2 - 15^2

h = √ 1025 - 225

h = √800

h = 28.28ft

D = √15^2 + h^2

dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt

= h(225 + h^2)^-1/2 dh/dt

= (h / √225 + h^2)5

= (28.28 / √225 + 28.28^2)5

= (28.28 / √1024.7584)5

= (28.28/32)5

= 0.88*5

= 4.4 ft/s

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Paraphin [41]

Answer:

270 minutes

Step-by-step explanation:

1 hour = 60 minutes

4 hours = 240 minutes

half hour = 30 minutes

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7 0
3 years ago
Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
const2013 [10]

Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

<h3>How to determine the correct rephrase of the proof about parallelogram diagonals</h3>

The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

Learn more on diagonals of a parallelogram

brainly.com/question/17920093

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3 0
1 year ago
What is the simplified form of 4 X ? 3 + 7?
tia_tia [17]

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

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6 0
3 years ago
The slope of the line below is 1.5. Write the equation of the line in point-slope form, using the coordinates of the labeled poi
Nataly [62]
Point slope form equation: y - y1 = m(x - x1)
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Answer
Point slope form equation:
y - 3 = 1.5(x - 4)
5 0
3 years ago
Find c.
Alexxx [7]

9514 1404 393

Answer:

  14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

  C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

  c ≈ 14.9 cm

5 0
2 years ago
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