An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
In a device with a current of 15.0 A for 30 seconds, approximately 2.81 x 10^21 electrons flow through it. This is calculated using the total charge formula and the charge of a single electron. The result indicates the significant number of charge carriers involved in an electric current.
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Recognize the logo is kite-shaped and recall the formula for the area of a kite.
Identify the lengths of the diagonals as the width and height of the kite.
Calculate the area using the formula: A = 2 1 d 1 d 2 = 2 1 ( 12 ) ( 16 ) .
Determine the area of the logo: 96 sq. cm .
Explanation
Problem Analysis The logo is in the shape of a kite. We are given that the kite is 12 centimeters wide and 16 centimeters tall. We need to find the area of the kite-shaped logo.
Area of a Kite The area of a kite is given by half the product of its diagonals. Let d 1 be the length of one diagonal and d 2 be the length of the other diagonal. The width of the kite is 12 cm, so one diagonal is d 1 = 12 cm. The height of the kite is 16 cm, so the other diagonal is d 2 = 16 cm.
Calculate the Area The area of the kite is calculated as follows:
A = 2 1 d 1 d 2 = 2 1 ( 12 cm ) ( 16 cm ) = 2 1 ( 192 cm 2 ) = 96 cm 2
Therefore, the area of the logo is 96 square centimeters.
Final Answer The area of the kite-shaped logo is 96 square centimeters.
Examples
Kites are not just for fun; they're also used in engineering and architecture! Imagine you're designing a kite-shaped window for a modern building. Knowing how to calculate the area of a kite helps you determine the amount of glass needed, which directly impacts the cost and structural considerations. By using the formula A = 2 1 d 1 d 2 , where d 1 and d 2 are the lengths of the diagonals, you can efficiently plan your design and ensure you have the right amount of materials. This blend of math and design creates visually stunning and structurally sound architectural elements.
