A golden rectangle is a rectangle in which the ratio of its length to its width is equal to the ratio of the sum of its length and width to its length: L W = L + W L (values of L and W that meet this condition are said to be in the golden ratio). a. Suppose that a golden rectangle has a width of 1 unit. Solve the equation to find the exact value for the length. Then give a decimal approximation to 2 decimal places. b. To create a golden rectangle with a width of 9 ft, what should be the length? Round to 1 decimal place.
A golden rectangle is a rectangle in which the ratio of its length to its width is equal to the ratio of the sum of its length and width to its length: L W = L + W L (values of L and W that meet this condition are said to be in the golden ratio). a. Suppose that a golden rectangle has a width of 1 unit. Solve the equation to find the exact value for the length. Then give a decimal approximation to 2 decimal places. b. To create a golden rectangle with a width of 9 ft, what should be the length? Round to 1 decimal place.
Solution Summary: The author calculates the exact value of the length by solving the given equation when the golden rectangle has a width of 1 unit.
A golden rectangle is a rectangle in which the ratio of its length to its width is equal to the ratio of the sum of its length and width to its length:
L
W
=
L
+
W
L
(values of L and W that meet this condition are said to be in the golden ratio).
a. Suppose that a golden rectangle has a width of 1 unit. Solve the equation to find the exact value for the length. Then give a decimal approximation to 2 decimal places.
b. To create a golden rectangle with a width of 9 ft, what should be the length? Round to 1 decimal place.
6
5
4
3
2
1
-1
-1
-2
-3
-4
A
-5
-6-
The graph above shows the function f(x). The graph below shows g(x).
6
5
4
3
2
1
3
-1
-2
-3
-4
-5
-6 |
g(x) is a transformation of f(x) where g(x) = Af(Bx) where:
A =
B =
5+
4
3
2
1.
-B
-2
-1
1
4
5
-1
-2
-3
-4
-5
Complete an equation for the function graphed above
y =
60
फं
+
2
T
2
-2
-3
2
4 5 6
The graph above shows the function f(x). The graph below shows g(x).
फ
3
-1
-2
2
g(x) is a transformation of f(x) where g(x) = Af(Bx) where:
A =
B =
College Algebra with Modeling & Visualization (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Area of a Rectangle, Triangle, Circle & Sector, Trapezoid, Square, Parallelogram, Rhombus, Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=JnLDmw3bbuw;License: Standard YouTube License, CC-BY