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Elodia [21]
3 years ago
5

Consider two people where one person is 25​% taller than the other but proportioned in exactly the same way.​ (That is, the tall

er person looks like a larger version of the shorter​ person.) Suppose the shorter person has a 37​-inch waist. What size is the taller​ person's waist?
Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

Answer:

46.25

Step-by-step explanation:

If they are proportioned exactly the same, then everything on the taller person is <em>25%</em> larger

<em>37*1.25</em> (for them being <em>125%</em> the size of the smaller person)

46.25

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
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Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

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The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

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x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

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The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.

The complete question is given below:-

liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29

<h3 /><h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.

If she cubed the number of the plants will be:- P³

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Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.

To know more about Expression follow

brainly.com/question/723406

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