Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 12.7, Problem 4E
Follow the rules for working with measurements:
In a drawing, a ceiling-to-floor bay window area is being added to a room. The shape of the added floor space area is an isosceles trapezoid with bases 12.0 ft and 6.00 ft and with slant sides 3 ft 6 in. a. Find the area of the floor space added to the room. b. If the room has 9 ft 6 in. ceilings, find the additional volume of the room. c. How many square yards of vinyl floor material would be purchased if it is available only in 6-ft widths and the owner wants no seams within the added bay window area?
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Chapter 12 Solutions
Elementary Technical Mathematics
Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - In Illustration 1, line l intersects line m and...Ch. 12.1 - Suppose l||m and t l. Is t m? Why or why not?
Ch. 12.1 - In Illustration 2, a. name the pairs of adjacent...Ch. 12.1 - In Illustration 2, suppose 3=40 and 7=97. Find the...Ch. 12.1 - In Illustration 3, suppose lm and 1=57. What are...Ch. 12.1 - In Illustration 4, suppose ab,ac, and 1=37. Find...Ch. 12.1 - In Illustration 5, suppose AOB is a straight line...Ch. 12.1 - Suppose angles 1 and 2 are supplementary and 1=63....Ch. 12.1 - Suppose angles 3 and 4 are complementary and 3=38....Ch. 12.1 - In Illustration 6, suppose lm, AOB is a straight...Ch. 12.1 - In Illustration 7, suppose ab,tx, 3=38, and /1 5...Ch. 12.1 - Suppose angles 1 and 2 are complementary and 1=2....Ch. 12.1 - In Illustration 8, suppose 1 and 3 are...Ch. 12.1 - In Illustration 9, suppose lm, 1=3x50 and 2=x+60....Ch. 12.1 - In Illustration 9, suppose lm, 1=4x+55 and...Ch. 12.1 - In Illustration 9, suppose lm, 1=8x+60 and...Ch. 12.1 - A plumber wishes to add a pipe parallel to an...Ch. 12.1 - A machinist needs to weld a piece of iron parallel...Ch. 12.1 - In Illustration 12, find angle z if m||n....Ch. 12.1 - Given ABCD in Illustration 13, find the measure of...Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Prob. 11ECh. 12.2 - In Exercises 11-12, use the formula A=bh. A=792m2,...Ch. 12.2 - The area of a parallelogram is 486 ft2. The length...Ch. 12.2 - The area of a rectangle is 280 cm2. Its width is...Ch. 12.2 - A piece of 16-gauge steel has been cut into the...Ch. 12.2 - Looking at the side of a welded metal storage bin,...Ch. 12.2 - On a sectional chart used for aviation navigation,...Ch. 12.2 - A pilot flies from an airport to a VOR (Very high...Ch. 12.2 - A rectangular metal duct has a width of 8.0 in. If...Ch. 12.2 - A rectangular X-ray film measures 15 cm by 32 cm....Ch. 12.2 - Each hospital bed and its accessories use 96 ft2...Ch. 12.2 - A respirator unit needs a rectangular floor space...Ch. 12.2 - A 108-ft2 roll of fiberglass is 36 in. wide. What...Ch. 12.2 - The cost of the fiberglass in Exercise 23 is...Ch. 12.2 - How many pieces of fiberglass, 36 in. wide and 72...Ch. 12.2 - A business owner plans to build a storage garage...Ch. 12.2 - The rear view mirror of an automobile measures 2.9...Ch. 12.2 - A machinist plans to build a screen around his...Ch. 12.2 - A piece of sheet metal in the shape of a...Ch. 12.2 - A rectangular piece of sheet metal has an area of...Ch. 12.2 - What is the acreage of a ranch that is a square,...Ch. 12.2 - A rectangular field of corn is averaging 115...Ch. 12.2 - Find the amount of sheathing needed for the roof...Ch. 12.2 - A ceiling is 12 ft by 15 ft. How many 1-ft by 3-ft...Ch. 12.2 - The Smith family plan to paint the exterior of...Ch. 12.2 - An 8-in.-thick wall uses 15 standard bricks (8 in....Ch. 12.2 - What is the display floor space of a...Ch. 12.2 - Canvas that costs 34/in2 is used to make golf...Ch. 12.2 - By law, all businesses outside the Parkville city...Ch. 12.2 - Find the area of the three trapezoid-shaped...Ch. 12.2 - In a plant, an inside walkway is being laid out to...Ch. 12.2 - Prob. 42ECh. 12.2 - In the mid-20th century, engineers constructed a...Ch. 12.2 - A game preserve manager fences off a pasture...Ch. 12.2 - A plot of land in the shape of a parallelogram...Ch. 12.2 - A rectangular lot is 155 ft 175 ft. The house,...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the braces needed for the...Ch. 12.3 - Find the center-to-center distance between the two...Ch. 12.3 - Find the total length of brace material needed in...Ch. 12.3 - Often, a machinist must cut a keyway in a shaft....Ch. 12.3 - A piece of 4.00-in.-diameter round stock is to be...Ch. 12.3 - Find the length of the rafter in Illustration 6....Ch. 12.3 - Find the offset distance x (rounded to nearest...Ch. 12.3 - A conduit is run in a building (see Illustration...Ch. 12.3 - The voltage across a resistance is 85.2 V. The...Ch. 12.3 - The voltage across a coil is 362 V. The voltage...Ch. 12.3 - The resistor current is 24 A. The total current is...Ch. 12.3 - The resistor current is 50.2 A. The coil current...Ch. 12.3 - In Exercises 2527, see Illustration 11. Find the...Ch. 12.3 - In Exercises 2527, see Illustration 11. Find the...Ch. 12.3 - In Exercises 2527, see Illustration 11. Find the...Ch. 12.3 - The base of a window is 7.2 m above the ground....Ch. 12.3 - Find the area and perimeter of each isosceles...Ch. 12.3 - Find the area and perimeter of each isosceles...Ch. 12.3 - Find the area and perimeter of an equilateral...Ch. 12.3 - Find the area and perimeter of an equilateral...Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Two pieces of steel angle are welded to form right...Ch. 12.3 - A triangular gusset (a triangular metal bracket to...Ch. 12.3 - A helicopter is 62.0 mi due north of a VOR (Very...Ch. 12.3 - An unusual architectural design requires...Ch. 12.3 - A steel plate is punched with a triangular hole as...Ch. 12.3 - A square hole is cut from the equilateral triangle...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - In a shaded corner outside of a manufacturing...Ch. 12.3 - A helicopter is at a position from two VORs as in...Ch. 12.3 - Slope may be defined as the steepness of an area...Ch. 12.3 - Starting at point A, a hiker walks due south for...Ch. 12.3 - When measuring land in odd-shaped lots, we often...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Find the lengths of AO and CD in Illustration 3....Ch. 12.4 - InIllustration4, quadrilaterals ABCD and XYZW are...Ch. 12.4 - An inclined ramp is to be built so that it reaches...Ch. 12.4 - Prob. 7ECh. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Prob. 10ECh. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - The side mirror of a small pickup truck is similar...Ch. 12.4 - A small heater has a rectangular filter that is 16...Ch. 12.4 - A polygon cross-sectional duct is to be exposed...Ch. 12.4 - A 6.00-ft by 8.00-ft bookcase is to be built. It...Ch. 12.4 - A vertical tower 132.0 ft high is anchored to the...Ch. 12.4 - Illustration 12 shows the master mold for a...Ch. 12.4 - A team of rock climbers needs to estimate the...Ch. 12.4 - A cat owner has a scratching post that is shaped...Ch. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Prob. 3ECh. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Prob. 5ECh. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Find the measure of each unknown angle:Ch. 12.5 - Find the measure of each unknown angle:Ch. 12.5 - Prob. 9ECh. 12.5 - A round plate 12 in. in diameter is to have 10...Ch. 12.5 - The area of a circle is 28.2 cm2. Find its radius.Ch. 12.5 - The area of a circle is 214 ft2. Find its radius.Ch. 12.5 - The circumference of a circle is 62.9 m. Find its...Ch. 12.5 - The circumference of a circle is 17.2 in. Find its...Ch. 12.5 - How many degrees are in a central angle whose arc...Ch. 12.5 - How many degrees are in a central angle whose arc...Ch. 12.5 - A welded circular metal tank has radius 24.0 in. A...Ch. 12.5 - A circular hole is to be made in the side of a...Ch. 12.5 - Prob. 19ECh. 12.5 - The side view of a tire resembles a doughnut. If...Ch. 12.5 - If the rim diameter of a wheel of a vehicle is...Ch. 12.5 - Round metal duct has a cross-sectional area of 113...Ch. 12.5 - A wheel of radius 1.80 ft is used to measure a...Ch. 12.5 - Find the length of the diameter of a circular silo...Ch. 12.5 - A rectangular piece of insulation is to be wrapped...Ch. 12.5 - How many 1.5-in.-diameter pipes will be needed to...Ch. 12.5 - A manifold is being designed to carry compressed...Ch. 12.5 - A pipe has a 3.50-in. outside diameter and a...Ch. 12.5 - In Illustration 5, find the area of the...Ch. 12.5 - Find the area and perimeter of the figure in...Ch. 12.5 - Find the length of strapping needed for the pipe...Ch. 12.5 - In a design for a workstation, in Illustration 8,...Ch. 12.5 - A boiler 5.00 ft in diameter is to be placed in a...Ch. 12.5 - A pulley is connected to a spindle of a wheel by a...Ch. 12.5 - Mary needs to punch 5 equally spaced holes in a...Ch. 12.5 - In Illustration 12, a. find the measure of 1,...Ch. 12.5 - Find the measure of 1 in Illustration 13....Ch. 12.5 - In Illustration 13, the length of AC is 5 and the...Ch. 12.5 - Illustration 14 shows a satellite at position P...Ch. 12.5 - In Illustration 15, CP = 12.2 m and PB = 10.8 m....Ch. 12.5 - Prob. 41ECh. 12.5 - Exercises 4144 refer to Illustration 16. AB and AC...Ch. 12.5 - Exercises 4144 refer to Illustration 16. AB and AC...Ch. 12.5 - Prob. 44ECh. 12.5 - Prob. 45ECh. 12.5 - Prob. 46ECh. 12.5 - Prob. 47ECh. 12.5 - Prob. 48ECh. 12.5 - Windmills are used to generate electricity. The...Ch. 12.5 - Prob. 51ECh. 12.5 - A restaurant uses 9.00-in. (diameter) banquet...Ch. 12.5 - Prob. 53ECh. 12.5 - Prob. 54ECh. 12.5 - Prob. 55ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 3ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 5ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 7ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 9ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 13ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Prob. 15ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Prob. 17ECh. 12.6 - Prob. 18ECh. 12.6 - Prob. 19ECh. 12.6 - Prob. 20ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Prob. 23ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - A pulley is turning at an angular velocity of 10.0...Ch. 12.6 - Prob. 26ECh. 12.6 - The radius of a gear is 22.0 cm. It turns through...Ch. 12.6 - A wheel of diameter 6.00 m travels a distance of...Ch. 12.6 - A wheel of diameter 15.2 cm turns through an angle...Ch. 12.6 - In Illustration 1, find a. the length of arc s b....Ch. 12.6 - In Illustration 2, find a. the length of arc s b....Ch. 12.6 - Given two concentric circles (circles with the...Ch. 12.6 - A round pizza, with a 12.0-in. diameter, is cut...Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: In...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: An...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.8 - Find the volume of each cylinder:Ch. 12.8 - Find the volume of each cylinder:Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. If...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Prob. 18ECh. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Prob. 21ECh. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Prob. 26ECh. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Prob. 28ECh. 12.8 - Prob. 29ECh. 12.8 - Prob. 30ECh. 12.8 - Prob. 31ECh. 12.8 - Prob. 32ECh. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Prob. 7ECh. 12.9 - Prob. 8ECh. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Find a. the volume and b. the lateral surface area...Ch. 12.9 - Find a. the volume and b. the lateral surface area...Ch. 12.9 - A loading chute in a flour mill goes directly into...Ch. 12.9 - The circular tank in Illustration 2 is made of 12...Ch. 12.9 - The nose of an airplane has a right circular cone...Ch. 12.9 - Prob. 16ECh. 12.9 - Gravel is piled in the shape of a cone. The...Ch. 12.9 - Find the weight of the display model shown in...Ch. 12.9 - Prob. 19ECh. 12.9 - Find the volume and lateral surface area of the...Ch. 12.9 - Find the volume and the lateral surface area of...Ch. 12.9 - Find the volume and the lateral surface area of...Ch. 12.9 - A hopper must be designed to contain plastic resin...Ch. 12.9 - A piece of 1-in. (diameter) round stock is tapered...Ch. 12.9 - A welder is assigned to fabricate luggage storage...Ch. 12.9 - Prob. 26ECh. 12.9 - A lamp manufacturer decides to offset various...Ch. 12.9 - Prob. 28ECh. 12.9 - Prob. 29ECh. 12.9 - The artist in Exercise 28 wishes to pour a second...Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - A balloon 30.1 m in radius is to be filled with...Ch. 12.10 - An experimental balloon is to have a diameter of...Ch. 12.10 - A welder has a large pan with the shape of a hemi-...Ch. 12.10 - An experimental aircraft has a Plexiglas covering...Ch. 12.10 - A cooling water tower is in need of a larger ball...Ch. 12.10 - A shift lever ball has diameter 2.125 in. What is...Ch. 12.10 - How many gallons of water can be stored in the...Ch. 12.10 - A city drains 150,000 gal of water from a full...Ch. 12.10 - A spherical tank for liquefied petroleum is 16.0...Ch. 12.10 - Find the volume of the cylindrical silo with a...Ch. 12.10 - You are designing a dome house in the shape of a...Ch. 12.10 - A canister of coolant used to charge an air...Ch. 12.10 - A meteorologist needs to launch a weather balloon...Ch. 12.10 - A park ranger orders a hot air balloon to use for...Ch. 12 - Classify each angle as right, acute, or obtuse:Ch. 12 - Classify each angle as right, acute, or obtuse:Ch. 12 - Prob. 3RCh. 12 - For Exercises 35, see Illustration 1: ILLUSTRATION...Ch. 12 - Prob. 5RCh. 12 - Name the polygon that has a. 4 sides, b. 5 sides,...Ch. 12 - Prob. 7RCh. 12 - Find the perimeter and the area of each...Ch. 12 - Prob. 9RCh. 12 - The area of a rectangle is 79.6 m2. The length is...Ch. 12 - Prob. 11RCh. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Prob. 15RCh. 12 - Prob. 16RCh. 12 - Find the measure of the missing angle in...Ch. 12 - Prob. 18RCh. 12 - Find the area and circumference of the circle in...Ch. 12 - The area of a circle is 462 cm2. Find its radius.Ch. 12 - How many degrees are in a central angle whose arc...Ch. 12 - Change 24.0 to radians.Ch. 12 - Change 18 rad to degrees.Ch. 12 - The radius of a wheel is 75.3 cm. The wheel turns...Ch. 12 - A wheel of diameter 25.8 cm travels a distance of...Ch. 12 - A wheel of radius 16.2 cm turns an angle of 1028....Ch. 12 - Prob. 27RCh. 12 - Prob. 28RCh. 12 - Prob. 29RCh. 12 - Prob. 30RCh. 12 - Prob. 31RCh. 12 - Prob. 32RCh. 12 - Prob. 33RCh. 12 - Prob. 34RCh. 12 - Prob. 35RCh. 12 - Prob. 36RCh. 12 - Find the area of a rectangle 18.0 ft long and 6.00...Ch. 12 - Find the perimeter of a square log 160 m on a...Ch. 12 - Given the trapezoid in Illustration 1, find...Ch. 12 - Given the trapezoid in Illustration 1, find...Ch. 12 - Find the length of a side a in Illustration 2....Ch. 12 - Given a circle of radius 20.0 cm, find its areaCh. 12 - Prob. 7TCh. 12 - Prob. 8TCh. 12 - Prob. 9TCh. 12 - Find the volume of a rectangular box 12.0 ft 8.00...Ch. 12 - Prob. 11TCh. 12 - Find the volume of a cylindrical tank 20.0 m in...Ch. 12 - Find a. the volume and b. the lateral surface area...Ch. 12 - Find the volume of the frustum of the cone in...Ch. 12 - A welder is assigned to fabricate the sheet metal...Ch. 12 - Add: 8+(+7)+(3)Ch. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Find the product: (2x2+7x3)(4x+5)Ch. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - A 200-bu wagon holds 3.4 tons of grain. Express...Ch. 12 - A 160-lb object, 28.0 in. from the fulcrum of a...Ch. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Solve: 5xy=12y=2xCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 21CRCh. 12 - Prob. 22CRCh. 12 - Prob. 23CRCh. 12 - Prob. 24CRCh. 12 - Prob. 25CRCh. 12 - Find the perimeter and area of each triangle:Ch. 12 - Prob. 27CRCh. 12 - Find the area and the circumference of the circle...Ch. 12 - The area of a circle is 168cm2. Find its radius.Ch. 12 - Find the volume and total surface area of the...
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- If 50 is 10% of 500 lanterns, what percent is 100 out of 500 lanterns?arrow_forwardwhat is 4m-1? m=3arrow_forward53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(BA)?arrow_forward
- 26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?arrow_forwardCalculs Insights πT | cos x |³ dx 59 2arrow_forward2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.arrow_forward
- The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)arrow_forward4. Solve the system of equations and express your solution using vectors. 2x1 +5x2+x3 + 3x4 = 9 -x2+x3 + x4 = 1 -x1-6x2+3x3 + 2x4 = -1arrow_forward3. Simplify the matrix expression A(A-B) - (A+B)B-2(A - B)2 + (A + B) 2arrow_forward
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