Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Textbook Question
Chapter 12.5, Problem 24E
Find the length of the diameter of a circular silo with circumference 52.0 ft.
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Students have asked these similar questions
Construct tables showing the values of alI the Dirichlet characters mod k fork = 8,9, and 10.
(please show me result in a table and the equation in mathematical format.)
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
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 - A rectangular lot is 155 ft 175 ft. The house,...Ch. 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. 12.3 - 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. 12.3 - A local manufacturer keeps cows on site to eat the...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. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Prob. 23ECh. 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 - 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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- Test the claim that a student's pulse rate is different when taking a quiz than attending a regular class. The mean pulse rate difference is 2.7 with 10 students. Use a significance level of 0.005. Pulse rate difference(Quiz - Lecture) 2 -1 5 -8 1 20 15 -4 9 -12arrow_forwardThere are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. D. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? I leave the answers to A and B to resolve the remaining two. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8 A. Measures of Central Tendency We are to calculate: Mean, Median, Mode The data (already ordered) is: 0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9, 11.1, 11.1, 11.6, 11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…arrow_forward
- A tournament is a complete directed graph, for each pair of vertices x, y either (x, y) is an arc or (y, x) is an arc. One can think of this as a round robin tournament, where the vertices represent teams, each pair plays exactly once, with the direction of the arc indicating which team wins. (a) Prove that every tournament has a direct Hamiltonian path. That is a labeling of the teams V1, V2,..., Un so that vi beats Vi+1. That is a labeling so that team 1 beats team 2, team 2 beats team 3, etc. (b) A digraph is strongly connected if there is a directed path from any vertex to any other vertex. Equivalently, there is no partition of the teams into groups A, B so that every team in A beats every team in B. Prove that every strongly connected tournament has a directed Hamiltonian cycle. Use this to show that for any team there is an ordering as in part (a) for which the given team is first. (c) A king in a tournament is a vertex such that there is a direct path of length at most 2 to any…arrow_forwardUse a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forwardhow to construct the following same table?arrow_forward
- The following is known. The complete graph K2t on an even number of vertices has a 1- factorization (equivalently, its edges can be colored with 2t - 1 colors so that the edges incident to each vertex are distinct). This implies that the complete graph K2t+1 on an odd number of vertices has a factorization into copies of tK2 + K₁ (a matching plus an isolated vertex). A group of 10 people wants to set up a 45 week tennis schedule playing doubles, each week, the players will form 5 pairs. One of the pairs will not play, the other 4 pairs will each play one doubles match, two of the pairs playing each other and the other two pairs playing each other. Set up a schedule with the following constraints: Each pair of players is a doubles team exactly 4 times; during those 4 matches they see each other player exactly once; no two doubles teams play each other more than once. (a) Find a schedule. Hint - think about breaking the 45 weeks into 9 blocks of 5 weeks. Use factorizations of complete…arrow_forward. The two person game of slither is played on a graph. Players 1 and 2 take turns, building a path in the graph. To start, Player 1 picks a vertex. Player 2 then picks an edge incident to the vertex. Then, starting with Player 1, players alternate turns, picking a vertex not already selected that is adjacent to one of the ends of the path created so far. The first player who cannot select a vertex loses. (This happens when all neighbors of the end vertices of the path are on the path.) Prove that Player 2 has a winning strategy if the graph has a perfect matching and Player 1 has a winning strategy if the graph does not have a perfect matching. In each case describe a strategy for the winning player that guarantees that they will always be able to select a vertex. The strategy will be based on using a maximum matching to decide the next choice, and will, for one of the cases involve using the fact that maximality means no augmenting paths. Warning, the game slither is often described…arrow_forwardLet D be a directed graph, with loops allowed, for which the indegree at each vertex is at most k and the outdegree at each vertex is at most k. Prove that the arcs of D can be colored so that the arcs entering each vertex must have distinct colors and the arcs leaving each vertex have distinct colors. An arc entering a vertex may have the same color as an arc leaving it. It is probably easiest to make use of a known result about edge coloring. Think about splitting each vertex into an ‘in’ and ‘out’ part and consider what type of graph you get.arrow_forward
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