1. Three numbers are so related that the second number is 2 more than the first number and the third is 4 more than the first. The sum of their squares is 56 more than three times the square of the smallest number. Determine the following: a) The numbers b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 2. The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Determine the following: a) The dimension of the rectangle b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight in water. Determine the following: a) The amount in ounces of each material in the alloy b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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1. Three numbers are so related that the second number is 2 more than the first
number and the third is 4 more than the first. The sum of their squares is 56 more
than three times the square of the smallest number. Determine the following:
a) The numbers
b) Explain the concepts/principles that were considered and the factors that
affected the condition of item (a)
2. The length of a rectangle exceeds its width by 6 units. If each dimension were
increased by 3 units, the area would be increased by 57 square units. Determine
the following:
a) The dimension of the rectangle
b) Explain the concepts/principles that were considered and the factors that
affected the condition of item (a)
3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water.
Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its
weight in water. Determine the following:
a) The amount in ounces of each material in the alloy
b) Explain the concepts/principles that were considered and the factors that
affected the condition of item (a)
Transcribed Image Text:1. Three numbers are so related that the second number is 2 more than the first number and the third is 4 more than the first. The sum of their squares is 56 more than three times the square of the smallest number. Determine the following: a) The numbers b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 2. The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Determine the following: a) The dimension of the rectangle b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight in water. Determine the following: a) The amount in ounces of each material in the alloy b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a)
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