Answer:
The answer is: both class have the same ratio.
Step-by-step explanation:
Get the ratio of tall to short. Divide Tall by Short:
Jack's class:
18/10 = 1.8 tall one for every short one
Michael's class:
54/30 = 1.8
The ratio is the same!
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.
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Answer will be C. 241.6 ft.²
The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.
<h3>How to determine the behavior of an exponential function</h3>
<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:
y = a · bˣ (1)
Where:
- a - Initial value
- b - Growth rate
- x - Independent variable.
- y - Dependent variable.
Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.
The <em>percentage</em> rate of decrease is determined by the following formula:
100 × (1-0.31) = 100 × 0.69 = 69 %
The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
40 square feet
Step-by-step explanation:
A^2 + b^2 = c^2
a^2 + (12)^2 = (13)^2
a^2 + 144 = 169
a^2 = 169 - 144
a^2 = 25
Sqrt (a^2) = Sqrt(25)
a = 5
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