478 CHAPTER 7 The Trigonometric Functions 25. In a circle of radius 1 cm, the area of a certain sector is TT/5 cm². Find the radian measure of the central angle. Express the answer in terms of 7 rather than as a decimal approximation. 26. In a circle of radius 3 m, the area of a certain sector is 20 m². Find the degree measure of the central angle. Round the answer to two decimal places. In Exercises 27 and 28, find (a) the perimeter of the sector; and Hing (b) the area of the sector. In each case, use a calculator to eval- uate the answer and round to two decimal places. 27. 28. 3 m 135° Fi 30° 38 5 in. 00 39 In Exercises 29–34, you are given the rate of rotation of a wheel as well as its radius. In each case, determine the follow- 40 ing: (a) the angular speed, in units of radians/sec; (b) the linear speed, in units of cm/sec, of a point on the circumference of the wheel; and (c) the linear speed, in cm/sec, of a point halfway between the center of the wheel and the circumference. In ro 29. 6 revolutions/sec; r = 12 cm 30. 15 revolutions/sec; r = 20 cm 10909lene
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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