ZC

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


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˚


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


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


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.


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).


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


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


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


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)


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%


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


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%


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


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


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


ZC

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