Beginning Algebra, 11th Edition

SECTION 2.5 Formulas and Additional Applications from Geometry^129

Solve each formula for the specified variable. See Examples 6–9.

67. for t 68. for r 69. for b


68. for L 71. for d 72. for s


69. for H 74. for W 75. for r


70. for p 77. for h 78. for b


71. for h 80. for h 81. for b


72. for a 83. for W 84. for r


73. for m 86. for x 87. for y


74. for x 89. for r 90. for F

91.P= 21 a+b 2 for a 92.P= 21 a+b 2 for b

C=

5

9

Ax+By=C M=C 11 +r 2 1 F- 322

y=mx+b y=mx+b Ax+By=C

P=a+b+c P= 2 L+ 2 W A=p+prt

V= V=pr^2 h P=a+b+c

1

3

pr^2 h

a=

1

2

a= bh

1

2

I=prt bh

V=LWH V=LWH I=prt

a=LW C=pd P= 4 s

d=rt d=rt a=bh

(x + 1)° (4x – 56)° (10x + 7)° (7x + 3)° (8x^2 1)°

(5x)°

(3x  13)°

(4x)° (5x^ – 129)° (2x^ – 21)°

(3x + 45)° (7x^ + 5)°

(12x – 3)°

(10x + 15)°

(11x – 37)°

(7x + 27)°

62. 63. 64.

65. 66.

Solve each equation.See Section 2.2.

93. 
    
    
    
    94. 
        
        
        
        95. 
            
        
        
        
        
    
    
    
    


94. 
    
    
    
    97. 
        
        
        
        98. 4 x=
        
        
        
        
    
    
    
    

1

3

• 3 x=

1

4

-

5

6

x= 30

3

4

0.06x= 300 0.4x= 80 x= 21

PREVIEW EXERCISES

58.The world’s largest sandwich, made by Wild Woody’s

Chill and Grill in Roseville, Michigan, was 12 ft long,

12 ft wide, and in. thick. What was the

volume of the sandwich? (Source: Guinness World

Records.)

A^1

11

17 24 ftB

1

2

Not to scale

12 ft

12 ft

17 in.^12

Find the measure of each marked angle. See Example 5.

59. 
    
    
    
    60. 
        
        
        
        61. 
            
        
        
        
        
    
    
    
    

(Hint:These angles are

complementsof each other.)