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Mumz [18]
3 years ago
13

In the air, it had an average speed of 16m/s . In the water, it had an average speed of 3 m/s before hitting the seabed. The tot

al distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.How long did the stone fall in air and how long did it fall in the water?
Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

Time in the air  t₁  =  7 s

Time in the sea t₂ =  5 s

Step-by-step explanation:

We will use the equation:   v =  d/t , where:

v is the average speed,

d the distance traveled, and

t time doing the trip

From v = d/t    ⇒  d = v*t

Therefore, if we call t₁ time in the air, and t₂ time in the sea, according to problem statement, we have:

t₁  +  t₂  = 12        (1)

16*t₁  +  3*t₂  = 127    (2)

A two equation system, from equation (1) we get

t₂  = 12 - t₁

And by substitution in equaton (2)

16*t₁  + 3 * ( 12 - t₁ ) = 127

16*t₁  + 36 - 3*t₁  = 127

13*t₁   = 91

t₁  = 91 /13

t₁ = 7 s

And    t₂  = 12 - 7

t₂ = 5 s

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Terry sees this offer refurbished phone 35% off now only ?78 what was the original price
Ronch [10]

Answer:

$223.

Step-by-step explanation:

Let x be the original price of phone.          

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\frac{35}{100} x=78

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3 0
3 years ago
Write a polynomial that has a GCF of 7m and another with a GCF of 2ab squared.
SVEN [57.7K]

The polynomial that has a GCF of 7m is 14mn - 21m + 49m²n + 7mn²

The polynomial that has a GCF of 2ab² is 6a²b² - 8ab³ + 4a³b² + 2a³b³

<h3>Writing Polynomials </h3>

From the question, we are to write a polynomial that has a GCF of 7m

That is,

We are to write a polynomial that has a greatest common factor of 7m

<em>Writing the polynomial</em>

14mn - 21m + 49m²n + 7mn²

The  polynomial above has a greatest common factor of 7m. That is, 7m is the greatest factor that can divide each of the terms

We are to write a polynomial with a GCF of 2ab²

<em />

<em>Writing the polynomial</em>

6a²b² - 8ab³ + 4a³b² + 2a³b³

The polynomial above has a greatest common factor of 2ab². That is, 2ab² is the greatest factor that can divide each of the terms

Hence,

The polynomial that has a GCF of 7m is 14mn - 21m + 49m²n + 7mn²

The polynomial that has a GCF of 2ab² is 6a²b² - 8ab³ + 4a³b² + 2a³b³

Learn more on Writing polynomials here: brainly.com/question/4525973

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1 year ago
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Answer:

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Step-by-step explanation:

5 0
2 years ago
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Please help this is so confusing
AURORKA [14]

Answer:

Triangle #2

Step-by-step explanation:

Translation involves the movement of a triangle without changing its direction or shape. It basically involves the sliding of a triangle, so Triangle 2 satisfies the definition of translation.

6 0
3 years ago
Type the correct answer in the box. Round your answer to the nearest hundredth.
HACTEHA [7]

if you add 55% and 45% the total is 100% so 45/100 are girls.  35% of the girls scored and A  so 35/45  is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.

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