A golden rectangle is said to be one of the most visually appealing of all geometric forms. The front of the Parthenon, built in Athens in the 5th century B.C. and shown in the illustration, is a golden rectangle. In a golden rectangle, the length l and the height h of the rectangle must satisfy the equation

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If a rectangular billboard is to have a height of 17 feet, how long should it be if it is to form a golden rectangle? Round to the nearest tenth of a foot, if necessary.
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Please enter your answer as a number without the units.

Fill in the blank(s) with the appropriate word(s).


27.5

Mathematics

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Is the function graphed below one-to-one?

A. Yes B. No

Mathematics

Draw and shade a Venn diagram that corresponds to the set.( ? B) ? C

A.

B.

Mathematics

Provide an appropriate response.Suppose that you want to invest some money in order to have $1000 available at some later time. If you invest it at 7% interest compounded continuously, the amount you need to invest now, P, is related to the number of years from now that you need the money, t, by: P(t) = 1000e-0.07t. Graph this on your graphing calculator in the window ×. Discuss the behavior of this graph.

What will be an ideal response?

Mathematics

Use the given information about an earthquake to find the missing values.Use the magnitude M to find (a) the earthquake intensity I in terms of the zero-level earthquake intensity I0 and (b) the energy released by the earthquake.M = 4.4

A. (a) 2.5 × 105 I0  (b) 3.96 × 1017 B. (a) 2.5 × 103 I0  (b) 9.95 × 108 C. (a) 2.5 × 104 I0  (b) 9.95 × 1010 D. (a) 2.5 × 1014 I0  (b) 9.95 × 109

Mathematics