1

25%. (15);.025; 2%. (16) 20 05; 5%. (17) 2;.08 (See note below); 8%. (18); .375; 37%. (19) 21.05; 105%. (20); .04; 4%.

Note. This mixed decimal and fractional form is often used when an unending decimal would result.

b(1) 150; (2) 50; (3) 4; (4) 900.

c(1) 150%; (2) 275%; (3) 150%; (4) 550%.

d(1) 1.64; (2) 2,496; (3) .34; (4) 4.42. e(1) .207%; (2) .028%.

ƒ(1) 433———; (2) 2,500; (3) 520; (4) 200; (5) 200.

Paragraph 21.

a 336.6 pounds. b3

a(1) 17; (2) 58; (3) −21; (4) —189°; (5)-252 volts.

b(1) 251 amperes; (2) -8 volts; (3) -.6875cy; (4) -81.99ax; (5) 1.810xy. 8 c(1) —17.92; (2) −72; (8); (4) 85 .075852; (5) .0028125; (6) 120. d(1) 9; (2) ; (8) 700; (4) 250; (5)

20

21

ampere; (6) —.0025.

$1400.00. e .372 ohm. .298 ohm; .459 ohm; .893 ohm. f 2.820 pounds; 3.776 pounds; 4.119 pounds; 2,567 pounds. g 300 rpm. h 157.5 rpm.

a

f(1) 10a3b-15a2b2 + 35ab3. (2) 4a3 + 12a4a. (3) 27. (4) 2x4 + 5x3y + 4x2y2 + 2xy3 — y'. (5) 9x4 — 4x2y2 +

16(2 — 5q)

3t+ 4y

(9)

25q2

; (10)

+7); (4) 7r(13+ 5); +32).

(2) 4w10; (3) 64ab8; (4) -2763212.

-8; (3) ab3; (4) ±6yz2; (6) ±20a; (7) −3; (8) 10) 5x4y5z2.

2); (2) 5a (a + 3); (3) 2x (5x2 (4) 3z (2ay + 3bx4c); (5) 5x); (6) 3a3 (a2 2ab

-3(1 23) or 143ry; (8) 7a+8m); (9) π(r12 + r22); c22cd+d2).

e(1) 3y2; (2) 28; (2); (3) 21my:

;

(5) 3√2x 1; (6)

; (7)

y

b(1) No4; (2) Vab1; (3) No62; (4) (5) Vx; (6) Va3b; (7) 6ŵr; (8) 26 (9) √2r1 + 3r2; (10) 3yx.

c(1) al; (2) (5x)1; (3) 6xd1; (4) (5) (3a3b5); (6) y3al; (7) 8(3 (8) 9gt; (9) 3bcidi; (10) (x — y)1.

d(1) 2√3; (2) 3√7; (3) 3x (4) 12ab2√2; (5) 2bd√15; (6) 21√ (7) 9pz\/7p; (8) 12dr's\/3ds; 45a2√б; (10) 112w1x2y\/2xz.

; (2) Y; (3)

R2

TR2,

36 2c

y (y+3)

νε

; (3)

;

6x 6x

(4)

2(y+3)'

e(1) YZ; (2)

2x

; (6) No (3 — 2x) 2

(7) ŵā (a + b); (8).

α

8 +1

3 2x

·; (10) † (i + 3)3.

;

b = 12, c = 15. (3) a = 12, b = 16, c =
20. (4) a 17.5, b = 10/11, c = 37.5.
=
(5) a = 10, b = 6, c = 2√34. (6) a =
37.08, b = 18.4, c = 41.4.

d(1) b = 103, c = 20. (2) a = 7, c =
7√2. (3) a = 4√3, b = 4. (4) b = 3√3,
c = 6\/3. (5) a = 12.5, b = 12.5√3.

Paragraph 164.

a(1) .02618, .99966, .02619, 38.1885. (2)
.26584, .96402, .27576, 3.62636. (3) .53238,
.84650, .62892, 1.59002. (4) .59693,
.80230, .74402, 1.34405. (5) .70690,
.70731, .99942, 1.00058. (6) .70706,
.70716, .99986, 1.00014. (7) .57649,
.81710, .70553, 1.41737. (8) .81370,
.58129, 1.39982, .71438. (9) .74811,
.66357, 1.12740, .88700. (10) .92429,
.38169, 2.42158, .41295.

b(1) 14° 54′ 51′′; (2) 66° 35′ 51′′; (3)
19° 56′ 54′′; (4) 25° 17′ 5′′; (5) 40° 23'
35′′; (6) 68° 45′ 2′′; (7) 22° 11′ 47′′;
(8) 34° 5' 19"; (9) 52° 13′ 2′′; (10) 51°
29' 49"

c(1) 44° 43′ 29′′; (2) 10.29; (3) 32.9; (4)
19.76; (5) 12.4; (6) 54° 18′ 52.5"; (7)
33.69; (8) 16.5; (9) 36° 28′ 9′′; (10)
128.3; (11) 32.9; (12) 29° 3' 15"

d(1) 43.845 feet; (2) 80.027 feet; (3)
12.226 feet, 8.69 feet high; (4) 3,149 feet;
(5) 11.734 feet; (6) 91.77 feet; (7) 206
feet; (8) 3,578 feet; (9) 16,647 feet
(3.153 miles); (10) 82.12 feet; (11) 1.414
inches each; (12) side opposite 60° 5.196
inches, side opposite 30o 3 inches.

Paragraph 178.

a C 62° 16′ 38′′, a = 14.59. b B =
69° 58'. c A = 23° 33′ 22′′, B = 45° 16
31", C 111° 10' 7". d A 81° 31' 41'
B = 41° 7′ 29′′. e 240 square inches.
97.880 square feet. g 55.424 square inches
h A 32° 33′ 45′′, B 84° 36′ 15′′, c =
15.95 inches.

Paragraph 176.

a(1) 4 radian; (2) 4 radians; (3) {
radians; (4) 2.78 radians.

b(1) 35 inches; (2) 17.6 feet; (3) 18.!
miles; (4) .00198 inch.

c(1) .52 radian; (2) 4.6 radians; (3)
2.77 radians; (4) 5.89 radians.

d(1) 45° 50′ 11.8"; (2) 1432° 23′ 40.2"
(3) 197° 40′ 13.44"; (4) 540°.
e(1)π/6; (2) π/3; (3) 5′′/4; (4) 4π.

Paragraph 192.

a(1) 5.5 amperes; (2) 1.30 amperes.
b(1) 28 to 100 ohms; (2) 7 to 25 ohms.
c 221 volts; 7.514 watts.

d(1) .8 ampere; (2) 24 volts; (3) 80
volts.

e(1)Gr = .35 inch; (2) 2.857 ohms;
(3) I2 = 10 amperes, I, = 5 amperes; (4)
IT 35 amperes.

f(1) G1 = 1 mho, G2 = .333 mho, G ̧ =
.1 mho, G. = .05 mho, G ̧ = .02 mho; (2)
Gr 1.503 mhos; (3) Rr = .665 mho.
g(1) 17.08 ohms; (2) 86.4 volts; (3) 100.8
volts; (4) 228.192 volts.

T