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Section 2.4

Section 2.4. Formulas. 205 ft. 372 ft. 116 ft. Example. Page 125. A residential lot is shown. Find the area of this lot. Solution The area of the rectangle: The area of the triangle: Total area = 76,260 + 21,576 = 97,836 square feet. Example.

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Section 2.4

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  1. Section 2.4 • Formulas

  2. 205 ft 372 ft 116 ft Example Page 125 • A residential lot is shown. • Find the area of this lot. • Solution • The area of the rectangle: • The area of the triangle: • Total area = 76,260 + 21,576 = 97,836 square feet.

  3. Example A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are the pool’s dimensions.? P=2w+2l w 3w Divide 8 Length is 3 times 40 length= 120

  4. Example Page 124-5 • In a triangle, the smaller angles are equal in measure and are one-third of the largest angle. Find the measure of each angle. • Solution • Let x represent the measure of each of the two smaller angles. Then the measure of the largest angle is 3x, and the sum of the measures of the three angles is given by The measure of the largest angle is 3x, thus 36 ∙ 3 = 108°. The measure of the three angles are 36°, 36°, and 108°.

  5. Example Page 127 • Find the volume and the surface area of the box shown. • Solution • The volume of the box is • V = lwh • V = 12 ∙ 6 ∙ 5 • V = 360 cm3 • The surface area of the box is 6 cm 5 cm 12 cm

  6. Example Page 129 • Solve each equation for the indicated variable. • a. b. • Solution • a. • Multiply by LCD which is 5 • Subtract y . 5 . 5

  7. Example Page 129 • Solve each equation for the indicated variable. • a. b. • Solution • b. • Subtract nm • GCF is n • Divide by GCF

  8. Solving a Formula for a Variable EXAMPLE Solve the formula y = mx + b for m SOLUTION y = mx + b Think of m saying, “I really want to be alone.” y – b = mx + b – b Subtract b from both sides. y – b = mx Perform the addition. b – b = 0. Divide both sides by x to find m.

  9. Solving a Formula for a Variable Solve for x Solve for length b

  10. Page 130 Other Formulas To calculate a student’s GPA, the number of credits earned with a grade of A, B, C, D, and F must be known. If a, b, c, d, and f represent these credit counts respectively, then Slide 10

  11. Example Page 130 • A student has earned 18 credits of A, 22 credits of B, 8 credits of C and 4 credits of D. Calculate the student’s GPA to the nearest hundredth. • Solution • Let a = 18, b = 22, c = 8, d = 4 and f = 0 • The student’s GPA is 3.04.

  12. Example Page 130 • The formula is used to convert degrees Fahrenheit to degrees Celsius. Use this formula to convert 23°F to an equivalent Celsius temperature. • Solution = −5°C

  13. DONE

  14. Objectives • Formulas from Geometry • Solving for a Variable • Other Formulas

  15. Solving a Formula for a Variable problem 20 on page 144 Solve for a Mult by 2 to remove 1/2

  16. Solving a Formula for a Variable CP 1, 3 on pages 136-137 Solve for length l Divide by w Solve for m Subtract D from both sides Divide by p

  17. Example Page 124 • A tourist starts a trip with a full tank of gas and an odometer that reads 59,478 miles. At the end of the trip, it takes 8.6 gallons of gas to fill the tank, and the odometer reads 59,715 miles. Find the gas mileage for the car. • Solution • The distance traveled is 59,715 – 59, 478 = 237 miles and the number of gallons used is G = 8.6. Thus,

  18. r h Example Page 128 • A cylindrical soup can has a radius of 2 ½ inches and a height of 5 5/8 inches. Find the volume of the can. • Solution

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