In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

<h3>What is a golden rectangle?</h3>

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

$\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet$

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

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7 0

2 years ago

For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value theorem on the interval [0 comm

igomit [66]

Answer:

a = -5

b = -1

m = -1

Step-by-step explanation:

Piecewise function:

f(x)= -5, x=0

f(x)= −x^2+3x+a, 0<x<2

f(x)= mx + b 2≤x≤3

The mean value theorem is applicable if f(x) is continuous on the entire closed interval [0;3] and differentiable on the entire closed interval [0;3].

To satisfied that at x = 0 :

−x^2+3x+a = -5

Then, a = -5

Derivative of −x^2+3x-5 is -2x + 3 and derivative of mx + b is m, at x = 2:

-2(2) + 3 = m

-1 = m

Replacing the functions at x = 2 :

−x^2+3x-5 = -x + b

−(2)^2+3*2-5 = -2 + b

-3 + 2 = b

-1 = b

5 0

3 years ago

To get a free meal at his favorite restaurant, Tom needs to spend $50 or more at the restaurant. He has already spent $30.25. Ho

MrRissso [65]

Answer:

50-30.25=19.75

Step-by-step explanation:

5 0

4 years ago

Josh and Mae work at a concession stand. They each earn $8 per hour, Josh worked three hours more than Mae. If Josh and Mae earn

vampirchik [111]

Answer:

12 hours

Step-by-step explanation:

5 0

3 years ago

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