New SAT Math Workbook

New SAT Math Workbook

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Unformatted text preview: are 180° in a triangle. Since ∠FEG is the supplement of ∠HEG, ∠FEG = 70°. (C) The sum of the angles in a parallelogram is 360°. 12 x = 360° x = 30° Angle B = 5x = 5 · 30° = 150° 5. (A) The volume of a rectangular box is the product of its length, width, and height. Since 1 the height is 18 inches, or 1 feet, and the 2 length and width of the square base are the same, we have 1 x ⋅ x ⋅ 1 = 24 2 x 2 = 16 x=4 Angle O is a central angle equal to its arc, 100°. This leaves 80° for the other two angles. Since the triangle is isosceles (because the legs are both radii and therefore equal), angle ABO is 40°. 10. (A) d= = (5 − (3)) + (-5 - 1) 2 2 (8)2 + (-6)2 = 64 + 36 = 100 = 10 www.petersons.com 224 Chapter 13 Exercise 1 1. (C) Find the area in square feet and then convert to square yards by dividing by 9. Remember there are 9 square feet in one square yard. (18 · 20) ÷ 9 = 360 ÷ 9 = 40 square yards 2. (B) Area of parallelogram = b · h Exercise 2 1. (A) Area of equilateral triangle = s2 s2 3 4 Therefore, must equal 16 4 s 2 = 64 s=8 Perimeter is 8 + 8 + 8 = 24 2. (B) In 4 hours the hour hand moves through one-third of the circumference of the clock. C = 2π r = 2π ( 3) = 6π 1 ⋅ 6π = 2π 3 ( x + 7)( x − 7) = 15 x 2 − 49 = 15 x 2 = 64 x =8 Base = x + 7 = 15 3. 1 ⋅b⋅h 2 (D) Compare 2πr with 2π (r + 3). 3. (B) Area of triangle = 2π (r + 3) = 2πr + 6π Circumference was increased by 6π. Trying this with a numerical value for r will give the same result. 4. (E) In one revolution, the distance covered is equal to the circumference. C = 2πr = 2π (18) = 36π inches To change this to feet, divide by 12. 36π = 3π feet 12 Using one leg as base and the other as altitude, the area is 1 · 6 · 8 = 24. Using the hypotenuse 2 as base and the altitude to the hypotenuse will give the same area. 1 ⋅ 10 ⋅ h = 24 2 5h = 24 1 h = 4.8 ∴ ⋅ 10 ⋅ 4.8 = 24 2 4. (E) Area of rhombus = · product of 2 diagonals 1 1 Area = ( 4 x )( 6 x ) = 24 x 2 = 12 x 2 2 2 1 ( ) In 20 revolut...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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