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aleksley [76]
3 years ago
13

The height of a building is 1734 ft. How long would it take an object to fall to the ground from the​ top? Use the formula s equ

als 16 t squared​, where s is the​ distance, in​ feet, traveled by an object falling freely from rest in t seconds.
Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

t is approximately 10.41 seconds

Step-by-step explanation:

s = 16t^2

1734 = 16t^2

divide by 16

1734/16 = 16t^2/16

1734/16 = t^2

take the square root  of each side

sqrt(1734/16) = sqrt(t^2)

we only take the positive square root because time must be positive

sqrt(1734/16) = t

t is approximately 10.41 seconds

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<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
2 years ago
What is 2.33 written as a mixed number in simplest form?
aleksandr82 [10.1K]
2.33.......ok, 2 is ur whole number....33 is ur fraction...the last digit is in the hundredths place....so put it over 100

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8 0
3 years ago
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stich3 [128]
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Step 2. you should have 5.4

Step 3. Keep the denominater (5) and add 5.4 as your numerator. <span />
4 0
3 years ago
Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?
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2 years ago
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3 years ago
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