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Zappo-Cola answers from Haiku.*Permission to re-distribute this has not been granted. All rights to Adele and Heschel.
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ZC-2. a) Radius heel-toes 3 4 5 6 7Diameter heel-
toes6 8 10 12 14
Actual Circumference heel-toes
18 24 30 36 42
c) c ≈ 3(d) d) The circumference is about three times the diameter.
e) 48 f) about 3
ZC-3.
a) 18 b) 24 c) 30 d) 12
ZC-4.
a) 35˚ b) 7.5˚ c) 120˚
ZC- a) 15.5 b) 43.5 c) 53 d) 8 e) 11
ZC-6.
a) 2 b) c) 2 d)
ZC-7. d) 1, 2, 8, and square units, for a total of 11 square units
Foundations for Algebra: Year 1 Chapter 9 Answers page 1
ZC-8. a) A = 79 or 79.05 square feet; P = 35 or 35.9 feet
b) A = 151.29 square miles; P = 49.2 miles
c) A = 17 square centimeters; P = 21 centimeters
d) A = 2653.2 square centimeters; P = 252.74 centimeters
ZC-10.
c) d)f) There are slightly more than
three diameters.
ZC-11. a) Multiply the radius by 2 to get diameter, and then multiply by π.b) Divide the circumference by π.
ZC-12.
Circumference
of Circle (a)
Circumference
of Circle (b)
Circumference of Circle (c)
Rough Estimate
3612
9
Foundations for Algebra: Year 1 Chapter 9 Answers page 2
Fraction Calculation or 9 Scientific Calculation 37.7 13.4 9.4
ZC-13.
a) ≈ 50.3 inches b) ≈ 22.0 centimeters
c) 56 meters; the perimeter and circumference of the circle are the same.
ZC-14.
a) 69.1 inches b) 17.3 inches c) 86.4 inches
ZC-15.
a) 0.25 b) 1.5 c) 1.3 d) 3.125e) f)
ZC-16.
a) 2 b) 3 c) 22 d) 12
ZC-17. or 25%
ZC-18.
a) (-3, 0), (-2, 0.5), (-1, 1), (0, 1.5), (1, 2), (2, 2.5), (3, 3)
b) y = 0.5x + 1.5 c) (4, 3.5) and (6, 4.5)
ZC-19.
a) 63˚b)
c) w = 50˚, x = 130˚
Foundations for Algebra: Year 1 Chapter 9 Answers page 3
ZC-20.
c) r2 d) 4r2
e) The area of the circle is less than the area of the four shaded radius squares.
ZC-21.
c) r2, 2r2d) 2 radius squares
e) The area of the circle is greater than the radius triangles.
ZC-22. Since an area of 2r2 is too small and 4r2 is too large, the area of the
circle is probably about 3r2.
ZC-24.
a) πr2 b) same as circle
c) A = πr2
Foundations for Algebra: Year 1 Chapter 9 Answers page 4
ZC-26.
a) C = 16π ≈ 50.3; A = 64π ≈ 201.1
b) C = 22π ≈ 69.1A = 121π ≈ 380.1
c) C = 11.4π ≈ 35.8A = 32.5π ≈ 102.1
ZC-27. Wrapping C, because it is a little more than 3 diameters.
ZC-28.
a) b) c) 2 d) 20
ZC-29.
a) 50 c) -4 d) -10 e) -10
b) It indicates the difference between the lowest and highest blood supply.
f) The mean shows that the bank is generally understocked.
ZC-31.
a) 10 inches
b) 5 inches c) 78 square inches
ZC-32. large: 6¢ per square inch; medium: 9¢ per square inch
ZC-35.
a) 36.3 sq. yds
b) 17 sq. ftc) 31,400 sq. mm
Foundations for Algebra: Year 1 Chapter 9 Answers page 5
ZC-36. a) A = 191.0376 square meters; C = 48.984 metersb)A = 132.665 square inches; C = 40.82 inchesc)A = square feet; C = 4 feetd)A = 7850 square miles; C = 314 miles
ZC-38.
a) |-26|; by 7
b) |-28|; by 1 c) |-3.6|; by 0.1 d) |45|; by 2
ZC-40.
a) 5 b) 10 c) ≈ 5.5 d) ≈ 6.7
ZC-33.
a)b) 39.25 sq.
ftc) 157 sq.
ftd) 628 sq.
fte) 1413 sq.
ft
ZC-34.
a) 10 b) 0.5 feet c) 2 feet d) 1.25 feet
e) 3.93 feet f) 39 feet g) 468 sq. feet
ZC-37.
b) the diameter
c) the circumference
ZC-39.
a) 72.2 inches
b) 877 times
ZC-41.
Foundations for Algebra: Year 1 Chapter 9 Answers page 6
ZC-42.
a) 7958 miles
b) about 31 feet
ZC-43.
a) 9 cubes b) 12 cubes c) 4 cubes
ZC-45.
a) 8, 3, 24 in.3
b) 8, 5, 40 in.3
c) 6, 2, 12 in.3
d) 3, 6, 18 in.3
ZC-46. The numbers are the same; the units are different.
ZC-48. Figure (c) is not a prism; it lacks congruent, parallel bases.
ZC-49.
a) 9 in.2; 90 in.3 b) 80 in2; 400 in.3
ZC-50.
a) 22.5 in.2; 67.5 in.3 b) 2.25 m2; 15.75 m3
ZC-51.
a) Double the radius. b) Divide the diameter by 2.
c) Multiply by 2π OR double the radius and multiply by π.
d) Multiply the diameter by π.
e) Multiply the radius by itself, then by π.
f) Divide the diameter by 2 to get the radius. Then follow the steps in part (e).
Foundations for Algebra: Year 1 Chapter 9 Answers page 7
ZC-52.
a) 1.9476 b) 5.934 c) 0.8432 d) 0.00211
e) 10.27 f) 19.93 g) 18.87
ZC-53.
a) 1 b) c) d)
ZC-54. a)A = 33 cm2 ; P = 29 cm
b)A = 73.26 cm2; P = 49 cm
ZC-55. $95.29
ZC-56. a) area ≈ 19.6 square inches; area ≈ 176.7 square inches; it is 9 times
bigger.b) The 15-inch; two 15-inch pizzas; 1.5 times more pizza.
ZC-57. W = 27.5 feet; L = 68.75 feet; A = 1890.625 square feet
Foundations for Algebra: Year 1 Chapter 9 Answers page 8
ZC-58. A = bh
ZC-59.
a) 7.5 in2, 15 in3
b) 24 ft2; 120 ft3
c) 1 m2, 6.25 m3
ZC-60.
a) A = 136 cm2; V = 3400 cm3
b) A = 28.01 cm2; V = 250.001 cm3
c) A = 5 cm2; V = 24 cm3
d) A = 17.63 ft2; V = 135.75 ft3
ZC-61.
a) 8 inches b) 23.3 inches
c) 30.24 square inches
ZC-62.
a) 1.8 b) ≈ 2.9 c) ≈ 2.2 d) ≈ 3.8
ZC-63.
a) A = πr2 b) A = 32 c) ≈ 20.02 ft
ZC-64.
a) πr2 = 25 b) ≈ 2.8 m c) ≈ 17.7 m
ZC-65.
a) ≈ 70.9 feet or 71 or 72 feet
b) 400 ft2
ZC-66.
a) xy = 56; y = 8 b) xy = 3a; x + y = 3 + a
c) xy = 6π; x + y = 6 + π
d) xy = ab; x + y = a + b
Foundations for Algebra: Year 1 Chapter 9 Answers page 9
e) xy = π2; x + y = 2π
ZC-67. a) 14 b) 0 c) 19 d) 26 e) N + 9f) and are reciprocals, so their product is 1. You
will always return to your original number after the second step.
ZC-68.
a) 59 b) 1.76 c) 14 d) 85
ZC-69. First picture: = ; 225Second picture: What number is 30% of 2.5? = ;
ZC-70. a) Find diameter of circle to get width of rectangle, multiply the length and width of the rectangle to get area, then find area of circle and divide by 2 to get that area, and finally add the two parts to get the total area.
b) 284.5 square feet
ZC-71.
a) 54 b) 28 c) 3 d) 28
Foundations for Algebra: Year 1 Chapter 9 Answers page 10
ZC-73.
a) 80π in.3 ≈ 251.33 in.3 b) 640π cm3 ≈ 2010.6 cm3
c) 375.5 ft3 d) 27π m3 ≈ 84.8 m3
ZC-74. 1413.7 cubic centimeters
ZC-75.
a) 282.7 cubic feet
b) a semi-circle c) 141.3 cubic feet
ZC-76.
a) 190.9 square feet
b) 226.2 square feet
c) 176.7 square feet
d) 3.5 square feet
e) 307.9 square feet
f) 452.4 square feet
ZC-77.
a) 1809.55 ft3 b) 1055.58 cm3
ZC-78.
a) 12 b) 33˚ c) 21.75˚
ZC-79. 380 cubic meters
ZC-80.
a) 4 b) c) d)
Foundations for Algebra: Year 1 Chapter 9 Answers page 11
ZC-81.
a) xy = ; x + y = b) y = 5; x + y = 5.3
c) xy = ; x + y = d) x = 13; x + y =
13.2e) x = 2; x + y = 37
ZC-82.
a) 0.5b) c)
ZC-83.
a) 452 square feet
b) 124 square feet
c) 21.5%
Foundations for Algebra: Year 1 Chapter 9 Answers page 12
ZC-84. a) two of each of the following dimensions: 3 x 5, 3 x 6, and 5 x 6 inchesb) two of each of the following areas: 15, 18, and 30 square inchesc) 126 square inches
ZC-85. The area of each base is 24 square cm; the areas of the three sides are 24, 32, and 40 square cm. The total area is 144 square cm.
ZC-86. a) circumferenceb) The longer side is the circumference of the circle, which
equals 25.1 cm. Area of bases ≈ 2(4 · 4π) ≈ 100; lateral area ≈ 181; surface area ≈ 281 cm3.
ZC-88. a) C = 40 cm; r ≈ 6.37 cmb) bases = 2(6.372π) ≈ 254.82 cm2; lateral = 1000 cm2; S.A. ≈ 1254.82 cm2
ZC-89. It is a parallelogram of base 2 cm and height 25 cm, so its area is 50 square cm.
ZC-90.
a)b) 58.9 square
feetc) 235.6 square
feet
d) 942.5 square feet
e) 2120.6 square feet
Foundations for Algebra: Year 1 Chapter 9 Answers page 13
ZC-91.
a) 21 b) 35.6 c) -98 d) -14
ZC-92.
a) -3.6 b) -3 c) -6 d) 40
ZC-93.
a) 78.5 square cm
b) 785 cubic cm
ZC-94. First picture: Missing parts are 15, n, and 85%; = ; 12.75
Second picture: What percent of 7.5 is 4.575? = ; 61%
Foundations for Algebra: Year 1 Chapter 9 Answers page 14
ZC-95.
a) A = 50 sq. cm
b) r ≈ 4 cm; C = 25.1
ZC-96.
a) S.A. ≈ 602 sq. cm
b)
1,204,000,000
c) 333,333
d) 746.48 grams = 0.746 kg; 4478.87 grams = 4.479 kg; no, since the weight is 9.85 pounds.
e) 6.57 pounds; it is about 3 pounds heavier or almost twice as heavy.
ZC-97. 4.3 inches
ZC-98. D
ZC-99.
a) 25 x 40 inches
b) 3.14 inches c) 18,840 ft3
ZC-100.
a) V = 2155 cm3 b) V ≈ 265.74 ft3
c) V ≈ 190.46 cm3 d) V = 240 cm3
ZC-101.
a) A ≈ 512.1 yds2; C ≈ 80.2 yds
b) A ≈ 21,939.6 cm2; C ≈ 525.2 cm
c) A ≈ 0.000011 km2; C ≈ 0.012 km
Foundations for Algebra: Year 1 Chapter 9 Answers page 15
ZC-102.
a) 63,360 inches b) ≈ 776 times
c) ≈ 720.29 times d) ≈ 672.27 times
ZC-104. $8 and $27
ZC-105.
a) 314.16 sq. cm
b) 1256.64 sq. cm
c) 628.32 sq. cm
ZC-106. a) Pizza A area ≈ 113 square inches; Pizza B area ≈ 452 square inches. b) Pizza B is a better deal if you need that much pizza.
It would take four Pizza As to equal one Pizza B, which would cost $47.80.
ZC-108. a) inches; square inches
b) 36 inches; 108 square inches
c) 24 inches; 48 square inches
d) 60 cm; 300 square cm
ZC-109. The tube rolled the long way holds 171.6 cubic inches while the tube rolled the short way holds 134.8 cubic inches. Nan has more popcorn.
ZC-110.
a) 1.7 b) -0.25 c) -12 d) 45
Foundations for Algebra: Year 1 Chapter 9 Answers page 16
ZC-111. a) No, it is only 60 feet.
b) No, it would still be several feet short.
ZC-112. a) 83,427 square miles b) He is within legal bounds.
c) yes d) no e) 3329 watts f) 1262 watts
Foundations for Algebra: Year 1 Chapter 9 Answers page 17