Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.

Transcription

1 Mth101 Chapter 8 HW Name Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 1) 1) Rectangle 6 in. 12 in. 12 in. 6 in. A) 24 in. B) 12 in. C) 18 in. D) 36 in. 2) Square 8.5 ft 8.5 ft 8.5 ft 2) 8.5 ft A) 34 ft B) 44 ft C) ft D) 17 ft 3) Equilateral triangle 3) 22 in A) 44 in B) 66 in C) 65 in D) 242 in Find the perimeter of the figure shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 4) 4) 21 cm 7 cm 10 cm 2.5 cm 11 cm 4.5 cm A) 56 cm B) 53.5 cm C) 51.5 cm D) 59 cm Solve the problem. 5) A garden is in the shape of a rectangle 47 feet long and 25 feet wide. If fencing costs $7 a foot, what will it cost to place fencing around the garden? A) $2016 B) $1008 C) $8225 D) $504 5) 1

2 Use formulas to find the area of the figure. 6) 6) 11 cm 12 cm A) 44 cm2 B) 23 cm2 C) 132 cm2 D) 46 cm2 7) 7) 2 km 13 km 17 km A) 17 km2 B) km2 C) 34 km2 D) 13 km2 8) 8) 7 ft 15 ft 20 ft A) 136 ft2 B) 34 ft2 C) 70ft2 D) 68 ft2 9) 9) 9 m 9 m A) 18 m2 B) 36 m2 C) 81 m2 D) 13 m2 10) 10) 3 units 20 units 8 units 13 units A) 39 units2 B) 30 units2 C) 12 units2 D) 19.5 units2 2

3 11) 2.7 ft 11) 0.8 ft 0.2 ft 0.8 ft 2.7 ft A) 2.16 ft2 B) 5.4 ft2 C) 0.54 ft2 D) 3.5 ft2 12) 8 km 12) 14.6 km 20 km A) km2 B) km2 C) 292 km2 D) km2 13) 13) 6 ft 12 ft 12 ft 10 ft A) 17,280 ft2 B) 72 ft2 C) 312 ft2 D) 240 ft2 Solve the problem. 14) What will it cost to tile a rectangular floor measuring 255 feet by by 28 feet if the tile costs $16 per square foot? A) $9056 B) $299 C) $7140 D) $114,240 14) 3

4 Find the circumference and area of the circle. Round the answer to the nearest whole number. 15) 15) 16 cm A) 101 cm, 101 cm2 B) 50 cm, 201 cm2 C) 50 cm, 3217 cm2 D) 101 cm, 804 cm2 Solve the problem. Round all circumference and area calculations to the nearest whole number. 16) How many flowers spaced every 4 inches are needed to surround a circular garden with a 15-foot radius? Round all circumference and area calculations to the nearest whole number. A) 141 flowers B) 266 flowers C) 376 flowers D) 282 flowers 17) If asphalt pavement costs $0.90 per square foot, find the cost to pave the circular road (indicated by dots) in the figure shown. 16) 17) 50 ft 30 ft A) $ B) $ C) $ D) $ Find the area of the shaded region in the figure. Round results to the nearest unit. 18) Find the shaded area in the figure. 18) 6.65 cm A) 75.9 cm2 B) 215 cm2 C) 38.0 cm2 D) Not enough information. 4

5 Find the volume of the figure. If necessary, round the answer to the nearest whole number. 19) 19) 8 m 2 m 5 m A) 320 m3 B) 32 m3 C) 80 m3 D) 50 m3 20) 20) 10 ft 15 ft A) 236 ft3 B) 471 ft3 C) 1178 ft3 D) 4712 ft3 21) Cone 21) 6 in. 7 in. A) 615 in.3 B) 308 in.3 C) 88 in.3 D) 462 in.3 22) 22) 10 m A) 419 m3 B) 4189 m3 C) 2356 m3 D) 524 m3 5

6 23) 11 m 23) 12 m 4 m A) 553 m3 B) 176 m3 C) 528 m3 D) 8448 m3 Solve the problem. 24) A new pyramid has been found in South America. The pyramid has a rectangular base that measures 78 yd by 100 yd, and has a height of 100 yd. The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone. The stone weighs 468 lb per cubic yard. How many pounds does the pyramid weigh? A) 260,000 lb B) 121,680,000 lb C) 365,040,000 lb D) lb Find the surface area of the figure. 25) 24) 25) 3 m 4 m 6 m A) 54 m2 B) 72 m2 C) 144 m2 D) 108 m2 Find the surface area of the circular solid. Unless otherwise specified, use 3.14 for and round your answer to the nearest tenth. 26) A right circular cylinder with r = 6.7 in., h = 6.4 in. 26) A) in.2 B) in.2 C) in.2 D) in.2 6

7 27) A sphere with d = 11.0 yd 27) A) yd2 B) yd2 C) 95.0 yd2 D) 11.0 yd2 28) A right circular cone with r = 8 cm, h = 4 cm 28) (Use the formula S = r r2 + h2 + r2.) A) cm2 B) cm2 C) 50.2 cm2 D) cm2 The two triangles below are similar. Find the unknown side lengths. 29) 29) A) x = 4 B) x = 6 C) x = 9 D) x = 3 30) 30) 9 A) x = 11.25; y = B) x = 6; y = 12 C) x = 13.5; y = 18 D) x = 20; y = 28 7

8 Solve the problem. 31) Ivan, who is 1.70 m tall, wishes to find the height of a tree. He walks m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow. He is now 5.27 m from the end of the shadows. How tall is the tree? Round to the nearest hundredth. 31) A) 8.09 m B) 6.39 m C) 2.32 m D) 0.45 m a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. 32) 32) a = 6 c = 10 b A) b = 7 B) b = 8 C) b = 9 D) b = 10 33) a = 10 in., b = 24 in. 33) A) c = 26 in. B) c = 25 in. C) c = 22 in. D) c = 18 in. Solve the problem. 34) A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall. A) 12 ft B) 6 ft C) 8 ft D) 10 ft 34) Use the given right triangle to find the trigonometric function. 35) sin B 35) A) 4 3 B) 5 3 C) 3 5 D) 4 5 8

9 36) cos A 36) A) 3 5 B) 5 3 C) 4 5 D) ) tan B 37) A) 4 3 B) 3 2 C) 9 8 D) 3 4 Find the measure of the side of the right triangle whose length is designated by the lowercase letter. Round your answer to the nearest whole number. 38) 38) a 34 b = 170 cm A) 111 cm B) 124 cm C) 129 cm D) 115 cm 39) 39) 118 in. 40 A) 90 in. B) 83 in. C) 79 in. D) 85 in. 9

10 Find the measures of the parts of the right triangle that are not given. Round your answers to the nearest whole number. 40) 40) c a 29 b = 64 yd A) a = 39 yd; c = 73 yd; B = 61 B) a = 39 yd; c = 71 yd; B = 61 C) a = 35 yd; c = 71 yd; B = 61 D) a = 35 yd; c = 73 yd; B = 61 Use the inverse trigonometric keys on a calculator to find the measure of angle A, rounded to the nearest whole degree. 41) 41) 64 m 51 m A) 53 B) 56 C) 55 D) 54 42) 42) 16 m 25 m A) 31 B) 34 C) 32 D) 33 43) 43) 32 cm 26 cm A) 33 B) 36 C) 34 D) 35 10

11 Solve the problem. 44) A building 250 feet tall casts a 90 foot long shadow. Find the angle of elevation of the sun to the nearest degree. 44) 250 feet 90 feet A) 21 B) 69 C) 20 D) 70 45) A kite flies to a height of 32 feet when 77 feet of string is out. If the string is in a straight line, find the angle that it makes with the ground. Round to the nearest tenth of a degree. A) 27.2 B) 22.9 C) 24.6 D) ) A radio transmission tower is 220 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 26 with the ground? Give your answer to the nearest tenth of a foot. A) ft B) ft C) ft D) ft 47) John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is standing as 35. He walks 30 feet closer to the tree and finds that the angle of elevation has increased by 12. Estimate the height of the tree rounded to the nearest whole number. A) 90 ft B) 86 ft C) 67 ft D) 61 ft 48) Two hikers on opposite sides of a canyon each stand precisely 525 meters above the canyon floor. They each sight a landmark on the canyon floor on a line directly between them. The angles of depression from each hiker to the landmark meter are 37 and 21. How far apart are the hikers? Round your answer to the nearest whole meter. A) 1064 m B) 2064 m C) 2063 m D) 2065 m 49) A forest ranger at Lookout A sights a fire directly north of her position. Another ranger at Lookout B, exactly 2 kilometers directly west of A, sights the same fire at a bearing of N41.2 E. How far is the fire from Lookout A? Round your answer to the nearest 0.01 km. A) 2.32 km B) 2.18 km C) 2.25 km D) 2.28 km 50) From the edge of a 1000-foot cliff, the angles of depression to two cars in the valley below are 21 and 28. How far apart are the cars? Round your answers to the nearest 0.1 ft. A) ft B) ft C) ft D) ft 45) 46) 47) 48) 49) 50) 11