31. The hypotenuse of the right triangle is 15 cm long. If each leg were decreased by 2 cm the hypotenuse would be decreased by 4 cm.

Mathematics For Machine Technology
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Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 32A: A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high....
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31. The hypotenuse of the right triangle is 15 cm long. If each leg were decreased by 2 cm the
hypotenuse would be decreased by 4 cm.
32. The tens digit is 5 more than the units digit. The sum of the digits of a two-digit number is 3
less than one-fifth the number.
33. The total number of Angel's coins is 45 and there are three times as many 1-peso coin as 5-
peso coins.
1
34. A man has Php 45,000 which he invests partly at a simple interest of 5% and the rest at 3
2
% per annum. The annual income from 3-% investment exceeds the income from the 5%
investment by Php 65. Represent the amount of each investment.
35. How many ounces of pure nickel must be added to 135 ounces of alloy 65% nickel to
produce an alloy which is 80% pure?
Transcribed Image Text:31. The hypotenuse of the right triangle is 15 cm long. If each leg were decreased by 2 cm the hypotenuse would be decreased by 4 cm. 32. The tens digit is 5 more than the units digit. The sum of the digits of a two-digit number is 3 less than one-fifth the number. 33. The total number of Angel's coins is 45 and there are three times as many 1-peso coin as 5- peso coins. 1 34. A man has Php 45,000 which he invests partly at a simple interest of 5% and the rest at 3 2 % per annum. The annual income from 3-% investment exceeds the income from the 5% investment by Php 65. Represent the amount of each investment. 35. How many ounces of pure nickel must be added to 135 ounces of alloy 65% nickel to produce an alloy which is 80% pure?
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