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emmasim [6.3K]
3 years ago
13

A model of a human heart is 14 ft tall. If the scale used is 1 ft: 1/4 inch, how tall is the actual heart?

Mathematics
1 answer:
Simora [160]3 years ago
6 0
The actual height of the heart is 3.5 inches

14 * .25 = 3.5 inches

I hope this helps :)

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Artist 52 [7]
This is a geometric progression problem. We can the general formula that can tell us how many flowers would be planted each month.
Let's write the terms that we know and see if we can find the pattern:

\begin{tabular}{lll}
Month & Number of flowers planted & Different form            \\
1     & 2                         & 2\cdot3^0 \\
2     & 6                         & 2\cdot3^1 \\
3     & 18                        & 2\cdot3^2 \\
4     & 54                        & 2\cdot3^3
\end{tabular}
\end{table}
The patern here is obvious. Let's write it down:
N=2\cdot3^{n-1}
This formula gives us a number of flowers planted in the n-th month.
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17 quart or 4 gallon
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What is the value of x?
Molodets [167]

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                    19² + x² = 21²
  2. Isolate <em>x</em> term:               x² = 21² - 19²
  3. Evaluate:                       x² = 441 - 361
  4. Subtract:                       x² = 80
  5. Isolate <em>x</em>:                       x = √80
  6. Simplify:                        x = 4√5

And we have our final answer!

8 0
3 years ago
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