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mojhsa [17]
3 years ago
10

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 m/sec, while the cat can run at

a speed of 24 m/sec.
a
How soon will they meet if they simultaneously start running towards each other?

Please help with this question! I need the answer by tomorrow. Thank you!
Mathematics
2 answers:
Degger [83]3 years ago
6 0

Answer:

3.(703)

Step-by-step explanation:

masha68 [24]3 years ago
4 0

Answer:

The dog will catch the cat at  33.33 sec

Step-by-step explanation:

Let

x------> distance the cat runs before being caught by the dog,

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/24=(200+x)/30

30x=24(200+x)

30x=4,800+24x

30x-24x=4,800

x=4,800/6=800 m

t=d/v=800/24=33.33 sec

or

t=(800+200)/30=1,000/30=33.33 sec

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Fawn plants 2/3 of the garden with vegetables. Her son plants the remainder of the garden. He decides to use 1/2 of his plant fl
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Suppose you throw a ball straight up from the ground with a velocity of 224 feet per second. as the ball moves up, gravity slows
Ganezh [65]

Answer:

  a) 640 ft

  b) 6 seconds (the first time)

  c) 14 seconds

Step-by-step explanation:

These problems are solved by using the given equation for the height of the thrown ball with the given values, and solving for the unknown value.

__

<h3>a. height after a time</h3>

To find the height at a specific time, substitute the time value for t in the height formula and do the arithmetic.

For t = 4, we have ...

  h = -16t² +224t = (-16(4) +224)(4) = 160(4) = 640

The height after 4 seconds is 640 ft.

__

<h3>b. time for a height</h3>

The time required to reach a specific height is found by solving the quadratic equation with h equal to the height value. It can be easier if the equation is in vertex form.

  h = -16t² +224t = -16(t² -14t) = -16(t² -14t +49) +784 = -16(t -7)² +784

We want the time to a height of 768 ft, so ...

  768 = -16(t -7)² +784

  -16/-16 = (t -7)² . . . . . . . . subtract 784, divide by -16

  ±√1 = t -7 . . . . . . . . . take the square root

  t = 7 ±1 = 6 or 8 . . . . . . add 7

The ball will be at a height of 768 ft after 6 seconds, and again after 8 seconds.

__

<h3>c. time to reach the ground</h3>

The equation from part b applies.

  0 = -16(t -7)² +784 . . . . . . . . the height is 0 when the ball is on the ground

  -784/-16 = (t -7)² = 49 . . . . . subtract 784, divide by -16

  √49 = t -7 . . . . . . . . . . . . . take the positive square root

  t = 14 . . . . . . . . . . . . . add 7

The ball will return to the ground after 14 seconds.

3 0
2 years ago
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