Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 12.3, Problem 45E
Find the measure of the missing angle in each triangle (do not use a protractor):
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The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b.
Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…
The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b.
Develop line charts for each variable and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical).
What is the line chart for the variable Fossil Fuels Production?
The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b.
Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…
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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- For each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical). Month PercentApr 1972 4.97May 1972 5.00Jun 1972 5.04Jul 1972 5.25Aug 1972 5.27Sep 1972 5.50Oct 1972 5.73Nov 1972 5.75Dec 1972 5.79Jan 1973 6.00Feb 1973 6.02Mar 1973 6.30Apr 1973 6.61May 1973 7.01Jun 1973 7.49Jul 1973 8.30Aug 1973 9.23Sep 1973 9.86Oct 1973 9.94Nov 1973 9.75Dec 1973 9.75Jan 1974 9.73Feb 1974 9.21Mar 1974 8.85Apr 1974 10.02May 1974 11.25Jun 1974 11.54Jul 1974 11.97Aug 1974 12.00Sep 1974 12.00Oct 1974 11.68Nov 1974 10.83Dec 1974 10.50Jan 1975 10.05Feb 1975 8.96Mar 1975 7.93Apr 1975 7.50May 1975 7.40Jun 1975 7.07Jul 1975 7.15Aug 1975 7.66Sep 1975 7.88Oct 1975 7.96Nov 1975 7.53Dec 1975 7.26Jan 1976 7.00Feb 1976 6.75Mar 1976 6.75Apr 1976 6.75May 1976…arrow_forwardUsing FDF, BDF, and CDF, find the first derivative; 1. The distance x of a runner from a fixed point is measured (in meters) at an interval of half a second. The data obtained is: t 0 x 0 0.5 3.65 1.0 1.5 2.0 6.80 9.90 12.15 Use CDF to approximate the runner's velocity at times t = 0.5s and t = 1.5s 2. Using FDF, BDF, and CDF, find the first derivative of f(x)=x Inx for an input of 2 assuming a step size of 1. Calculate using Analytical Solution and Absolute Relative Error: = True Value - Approximate Value| x100 True Value 3. Given the data below where f(x) sin (3x), estimate f(1.5) using Langrage Interpolation. x 1 1.3 1.6 1.9 2.2 f(x) 0.14 -0.69 -0.99 -0.55 0.31 4. The vertical distance covered by a rocket from t=8 to t=30 seconds is given by: 30 x = Loo (2000ln 140000 140000 - 2100 9.8t) dt Using the Trapezoidal Rule, n=2, find the distance covered. 5. Use Simpson's 1/3 and 3/8 Rule to approximate for sin x dx. Compare the results for n=4 and n=8arrow_forwardCan you check if my step is correct?arrow_forward
- I need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, and Simplify to Find the Frequency-Domain Expression. I need to understand on finding Y(s)arrow_forward1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b) the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the 8-second period. t 0 2 4 6 8 V 10 15 12 10 16 2. Find the midpoint rule approximation for (a) n = 4 +5 x²dx using n subintervals. 1° 2 (b) n = 8 36 32 28 36 32 28 24 24 20 20 16 16 12 8- 4 1 2 3 4 5 6 12 8 4 1 2 3 4 5 6arrow_forward1. A Blue Whale's resting heart rate has period that happens to be approximately equal to 2π. A typical ECG of a whale's heartbeat over one period may be approximated by the function, f(x) = 0.005x4 2 0.005x³-0.364x² + 1.27x on the interval [0, 27]. Find an nth-order Fourier approximation to the Blue Whale's heartbeat, where n ≥ 3 is different from that used in any other posts on this topic, to generate a periodic function that can be used to model its heartbeat, and graph your result. Be sure to include your chosen value of n in your Subject Heading.arrow_forward
- I need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, andarrow_forwardma Classes Term. Spring 2025 Title Details Credit Hours CRN Schedule Type Grade Mode Level Date Status Message *MATHEMATICS FOR MANAGEME... MTH 245, 400 4 54835 Online Normal Grading Mode Ecampus Undergradu... 03/21/2025 Registered **Web Registered... *SOIL SCIENCE CSS 205, 400 0 52298 Online Normal Grading Mode Undergraduate 03/21/2025 Waitlisted Waitlist03/21/2025 PLANT PATHOLOGY BOT 451, 400 4 56960 Online Normal Grading Mode Undergraduate 03/21/2025 Registered **Web Registered... Records: 3 Schedule Schedule Detailsarrow_forwardHere is an augmented matrix for a system of equations (three equations and three variables). Let the variables used be x, y, and z: 1 2 4 6 0 1 -1 3 0 0 1 4 Note: that this matrix is already in row echelon form. Your goal is to use this row echelon form to revert back to the equations that this represents, and then to ultimately solve the system of equations by finding x, y and z. Input your answer as a coordinate point: (x,y,z) with no spaces.arrow_forward
- 1 3 -4 In the following matrix perform the operation 2R1 + R2 → R2. -2 -1 6 After you have completed this, what numeric value is in the a22 position?arrow_forward5 -2 0 1 6 12 Let A = 6 7 -1 and B = 1/2 3 -14 -2 0 4 4 4 0 Compute -3A+2B and call the resulting matrix R. If rij represent the individual entries in the matrix R, what numeric value is in 131? Input your answer as a numeric value only.arrow_forward1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forward
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