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kati45 [8]
2 years ago
5

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 58 a

nd the width is 3. For this set of rectangles, calculate the width of a rectangle whose length is 2.
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
7 0

Answer:

The width is 87

Step-by-step explanation:

Given

Represent Length with L and Width with W

Variation: Inverse Proportion

L \alpha \frac{1}{W}

L = 58; W = 3

Required

Solve for W when L = 2

First, we need to determine the constant of variation

L \alpha \frac{1}{W}

L = \frac{k}{W}

Where

k = constant of variation

Substitute the following values: L = 58; W = 3

58 = \frac{k}{3}

Solve for k

k = 58 * 3

k = 174

To solve for W when L = 2, we simply substitute values for L and K in the expression L = \frac{k}{W}

2 = \frac{174}{W}

Solve for W

2 * W = 174

2 W = 174

W = 174/2

W = 87

<em>Hence, the width is 87</em>

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Answer:

Part 1) The rate of change is 2

Part 2) The initial value is 2

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or rate of change

b is the y-intercept or initial value

step 1

Find the slope or rate of change

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points

(5,12)and (2,6)

substitute the values in the formula

m=\frac{6-12}{2-5}

m=\frac{-6}{-3}

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step 2

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substitute in the equation y=mx+b

6=2(2)+b

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y=2x+2

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8 0
3 years ago
Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points) Part B: Find an irrational nu
max2010maxim [7]
A rational number can always be represented as a fraction.
5.2 = 52/10 
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A number between them would be 54/10 since 54 is between 52 and 55.

An irrational number cannot be represented as a fraction. A good example of an irrational number is the square root of a number.
sqrt(5.2^2) = 5.2  ----> 5.2^2 = 27.04
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The square root of a number between 27.04 and 30.25 will be an irrational number between 5.2 and 5.5
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3 years ago
A plane ticket barcelona costs £175 the price decreases by 6% work out the new price
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Absolute change (actual difference):

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Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

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6 0
3 years ago
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A circle has a circumference of 28.26 units. What is the diameter of the circle?
Karolina [17]

Answer:

The diameter of the circle is 9.

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Because circumference is equal to \pi * d, we can backtrack and use this equation to find diameter. Let's say \pi is equal to 3.14.

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6 0
3 years ago
Branliest
Akimi4 [234]

1 Simplify \frac{4}{15}x

15

4

x to \frac{4x}{15}

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4x=1.44\times 15

4x=1.44×15

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x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

x=5.4

6 0
2 years ago
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