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JulsSmile [24]
3 years ago
7

An anatomy model of an adult human is 7 inches tall. Most adult humans are between 5 feet and 6 feet tall. What is the approxima

te scale factor of the model?
Mathematics
2 answers:
anyanavicka [17]3 years ago
3 0

Answer:

9.42857142857 inches = 1 inch

Step-by-step explanation:

12 inches in a foot

12 × 5.5 = 66

66 / 7 = 9.42857142857

vlada-n [284]3 years ago
3 0

Answer:

0.106 ( approx )

Step-by-step explanation:

Given,

The height of human is between 5 feet and 6 feet,

So, the average height of a human = \frac{5+6}{2}

=\frac{11}{2}

= 5.5 feet,

∵ 1 feet = 12 inches,

Thus, the average height of a human = 12 × 5.5 = 66 inches

Now,

\text{Scale factor}=\frac{\text{Scaled measure}}{\text{Actual measure}}

We have,

Scaled measure of the height of a human = 7 inches,

Thus,

\text{Scale factor}=\frac{7}{66}\approx 0.106

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3 years ago
Esmerelda is five times as old as Ruth. Four years ago, the sum of their ages was 22 years. How old is each now?
Lina20 [59]

Answer:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

Step-by-step explanation:

if Ruth is x, esmerelda is 5x,

four years ago,

Ruth is x+4,  esmerelda is 5x+4,  depend on the sum, we get:

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4 years ago
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find the equation of a cubic function whose graph passes through points (3,0) and (1,4) and is tangent to x-axis at the origin
Tomtit [17]

Answer:

y = -2x^2(x - 3)

Step-by-step explanation:

<em><u>Preliminary Remark</u></em>

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

<em><u>(3,0)</u></em>

If the cubic goes through the point (3,0), then the equation will become

0 = a*3^2(3 - h)

0 = 9a (3 - h)

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<em><u>From the second point, we get</u></em>

4 = ax^2(x - 3)

4 = a(1)^2(1 - 3)

4 = a(-2)

a = 4 / - 2

a = -2

<em><u>Answer</u></em>

y = -2x^2(x - 3)

 

3 0
3 years ago
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