Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Chapter 7.2, Problem 7ES
To determine
To find if the described angle is an acute angle, a right angle, an obtuse angle or does not exist.
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Chapter 7 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 7.1 - Draw the yin-and-yang symbol shown at the right....Ch. 7.1 - Prob. 2EECh. 7.1 - Prob. 3EECh. 7.1 - Draw the heart-shaped figure shown at the right....Ch. 7.1 - Prob. 1ESCh. 7.1 - Prob. 2ESCh. 7.1 - Convert between the two measurements. 5yd = in.Ch. 7.1 - Prob. 4ESCh. 7.1 - Prob. 5ESCh. 7.1 - Prob. 6ES
Ch. 7.1 - Convert between the two measurements. 712 lb = ozCh. 7.1 - Prob. 8ESCh. 7.1 - Prob. 9ESCh. 7.1 - Prob. 10ESCh. 7.1 - Prob. 11ESCh. 7.1 - Prob. 12ESCh. 7.1 - Prob. 13ESCh. 7.1 - Prob. 14ESCh. 7.1 - Prob. 15ESCh. 7.1 - Prob. 16ESCh. 7.1 - Prob. 17ESCh. 7.1 - Prob. 18ESCh. 7.1 - Prob. 19ESCh. 7.1 - Prob. 20ESCh. 7.1 - Prob. 21ESCh. 7.1 - Prob. 22ESCh. 7.1 - Prob. 23ESCh. 7.1 - Prob. 24ESCh. 7.1 - Prob. 25ESCh. 7.1 - Prob. 26ESCh. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Prob. 29ESCh. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Prob. 32ESCh. 7.1 - Prob. 33ESCh. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Prob. 35ESCh. 7.1 - Prob. 36ESCh. 7.1 - Prob. 37ESCh. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - Prob. 39ESCh. 7.1 - Prob. 40ESCh. 7.1 - Prob. 41ESCh. 7.1 - A light year is approximately...Ch. 7.1 - In the 1980s, it became possible to measure...Ch. 7.1 - Prob. 44ESCh. 7.2 - Prob. 1EECh. 7.2 - Prepare a circle graph for the data provided in...Ch. 7.2 - Prob. 1ESCh. 7.2 - State the number of degrees in a full circle, a...Ch. 7.2 - Prob. 3ESCh. 7.2 - Prob. 4ESCh. 7.2 - Prob. 5ESCh. 7.2 - Prob. 6ESCh. 7.2 - Prob. 7ESCh. 7.2 - Prob. 8ESCh. 7.2 - Prob. 9ESCh. 7.2 - Prob. 10ESCh. 7.2 - Given AB = 12 cm, CD = 9 cm, and AD = 35 cm, find...Ch. 7.2 - Prob. 12ESCh. 7.2 - Prob. 13ESCh. 7.2 - Prob. 14ESCh. 7.2 - Given in mLOM=53 and in mLON=139, find the measure...Ch. 7.2 - Given in mMON=38 and mLON=85, find the measure of...Ch. 7.2 - Prob. 17ESCh. 7.2 - Prob. 18ESCh. 7.2 - Given that LON is a right angle, find the measure...Ch. 7.2 - Given that LON is a right angle, find the measure...Ch. 7.2 - Prob. 21ESCh. 7.2 - Prob. 22ESCh. 7.2 - Prob. 23ESCh. 7.2 - Prob. 24ESCh. 7.2 - Prob. 25ESCh. 7.2 - Prob. 26ESCh. 7.2 - Prob. 27ESCh. 7.2 - Prob. 28ESCh. 7.2 - Prob. 29ESCh. 7.2 - Prob. 30ESCh. 7.2 - Prob. 31ESCh. 7.2 - Prob. 32ESCh. 7.2 - Prob. 33ESCh. 7.2 - Prob. 34ESCh. 7.2 - Given that l1l2, find the measures of angles a and...Ch. 7.2 - Prob. 36ESCh. 7.2 - Given that l1l2, find the measures of angles a and...Ch. 7.2 - Given that l1l2, find the measures of angles a and...Ch. 7.2 - Given that l1l2, find x.Ch. 7.2 - Prob. 40ESCh. 7.2 - Prob. 41ESCh. 7.2 - Prob. 42ESCh. 7.2 - Given that ma=95 and mb=70, find the measures of...Ch. 7.2 - Given that in ma=35 and mb=55, find the measures...Ch. 7.2 - Prob. 45ESCh. 7.2 - Given that my=130, find the measures of angles a...Ch. 7.2 - Prob. 47ESCh. 7.2 - Prob. 48ESCh. 7.2 - Prob. 49ESCh. 7.2 - Prob. 50ESCh. 7.2 - Prob. 51ESCh. 7.2 - Prob. 52ESCh. 7.2 - Prob. 53ESCh. 7.2 - Cut out a triangle and then tear off two of the...Ch. 7.2 - Prob. 55ESCh. 7.2 - Prob. 56ESCh. 7.2 - If AB and CD intersect at point O, and mAOC=mBOC,...Ch. 7.3 - Complete the table below by calculating the...Ch. 7.3 - Prob. 2EECh. 7.3 - Prob. 3EECh. 7.3 - Prob. 4EECh. 7.3 - Prob. 5EECh. 7.3 - Prob. 6EECh. 7.3 - What is wrong with each statement? a. The...Ch. 7.3 - Prob. 2ESCh. 7.3 - Prob. 3ESCh. 7.3 - Prob. 4ESCh. 7.3 - Prob. 5ESCh. 7.3 - Find (a ) the perimeter and (b ) the area of the...Ch. 7.3 - Prob. 7ESCh. 7.3 - Prob. 8ESCh. 7.3 - Prob. 9ESCh. 7.3 - Prob. 10ESCh. 7.3 - Prob. 11ESCh. 7.3 - Find (a ) the circumference and (b ) the area of...Ch. 7.3 - Prob. 13ESCh. 7.3 - Prob. 14ESCh. 7.3 - Prob. 15ESCh. 7.3 - Prob. 16ESCh. 7.3 - Cross-Country A cross-country course is in the...Ch. 7.3 - Prob. 18ESCh. 7.3 - Sewing Bias binding is to be sewn around the edge...Ch. 7.3 - Prob. 20ESCh. 7.3 - Prob. 21ESCh. 7.3 - Prob. 22ESCh. 7.3 - Prob. 23ESCh. 7.3 - Athletic Fields Artificial turf is being used to...Ch. 7.3 - Prob. 25ESCh. 7.3 - Prob. 26ESCh. 7.3 - Area The width of a rectangle is 8 ft. If the area...Ch. 7.3 - Area The area of a parallelogram is 56 m2. If the...Ch. 7.3 - Prob. 29ESCh. 7.3 - Sailing A sail is in the shape of a triangle with...Ch. 7.3 - Gardens A vegetable garden is in the shape of a...Ch. 7.3 - Athletic Fields How much artificial turf should be...Ch. 7.3 - Prob. 33ESCh. 7.3 - Parks and Recreation A city plans to plant grass...Ch. 7.3 - Prob. 35ESCh. 7.3 - Prob. 36ESCh. 7.3 - Prob. 37ESCh. 7.3 - Prob. 38ESCh. 7.3 - Carpeting You want to install wall-to-wall...Ch. 7.3 - Interior Decorating You want to paint the...Ch. 7.3 - Prob. 41ESCh. 7.3 - Prob. 42ESCh. 7.3 - Carpentry Find the length of molding needed to put...Ch. 7.3 - Sewing How much binding is needed to bind the edge...Ch. 7.3 - Pulleys A pulley system is diagrammed below. If...Ch. 7.3 - Bicycles A bicycle tire has a diameter of 18 in....Ch. 7.3 - Prob. 47ESCh. 7.3 - Prob. 48ESCh. 7.3 - Irrigation An irrigation system waters a circular...Ch. 7.3 - Prob. 50ESCh. 7.3 - Prob. 51ESCh. 7.3 - Prob. 52ESCh. 7.3 - Lake Tahoe One way to measure the area of an...Ch. 7.3 - Prob. 54ESCh. 7.3 - Prob. 55ESCh. 7.3 - Prob. 56ESCh. 7.3 - Prob. 57ESCh. 7.3 - A circle with radius r and circumference C is...Ch. 7.3 - Herons (or Heros) formula is sometimes used to...Ch. 7.4 - Name the genus of each figure. a. Funnel b. Ships...Ch. 7.4 - Which one of the following figures is not...Ch. 7.4 - Which one of the following figures is not...Ch. 7.4 - In parts a and b, the letters of the alphabet are...Ch. 7.4 - Prob. 5EECh. 7.4 - Prob. 6EECh. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Prob. 2ESCh. 7.4 - Prob. 3ESCh. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Prob. 5ESCh. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Prob. 12ESCh. 7.4 - Prob. 13ESCh. 7.4 - Prob. 14ESCh. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - Prob. 16ESCh. 7.4 - Prob. 17ESCh. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - Prob. 20ESCh. 7.4 - In the figure below, ACDE, BD measures 8 m, AD...Ch. 7.4 - Prob. 22ESCh. 7.4 - In the figure below, AEBD, AB = 3 ft, ED = 4 ft,...Ch. 7.4 - Prob. 24ESCh. 7.4 - In the figure below, MP and NQ intersect at O, NO...Ch. 7.4 - Prob. 26ESCh. 7.4 - Surveying Surveyors use similar triangles to...Ch. 7.4 - Surveying Surveyors use similar triangles to...Ch. 7.4 - Prob. 29ESCh. 7.4 - Prob. 30ESCh. 7.4 - Determine whether the two triangles are congruent....Ch. 7.4 - Prob. 32ESCh. 7.4 - Prob. 33ESCh. 7.4 - Prob. 34ESCh. 7.4 - Determine whether the two triangles are congruent....Ch. 7.4 - Prob. 36ESCh. 7.4 - Given triangle ABC and triangle DEF, do the...Ch. 7.4 - Given triangle PQR and triangle MNO, do the...Ch. 7.4 - Given triangle LMN and triangle QRS, do the...Ch. 7.4 - Given triangle DEF and triangle JKL, do the...Ch. 7.4 - Prob. 41ESCh. 7.4 - Prob. 42ESCh. 7.4 - Prob. 43ESCh. 7.4 - Prob. 44ESCh. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Prob. 46ESCh. 7.4 - Prob. 47ESCh. 7.4 - Prob. 48ESCh. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Prob. 50ESCh. 7.4 - Prob. 51ESCh. 7.4 - Prob. 52ESCh. 7.4 - Prob. 53ESCh. 7.4 - Prob. 54ESCh. 7.4 - Prob. 55ESCh. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Prob. 57ESCh. 7.4 - Prob. 58ESCh. 7.5 - A cylinder with a 2-cm radius and a height of 10...Ch. 7.5 - A sphere with a radius of 6 in. is placed in a...Ch. 7.5 - A chemist wants to know the density of a statue...Ch. 7.5 - Prob. 1ESCh. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Prob. 4ESCh. 7.5 - Prob. 5ESCh. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Prob. 7ESCh. 7.5 - Prob. 8ESCh. 7.5 - Prob. 9ESCh. 7.5 - Prob. 10ESCh. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Solve. Volume A rectangular solid has a length of...Ch. 7.5 - Prob. 14ESCh. 7.5 - Prob. 15ESCh. 7.5 - Prob. 16ESCh. 7.5 - Prob. 17ESCh. 7.5 - Prob. 18ESCh. 7.5 - Solve. Volume The diameter of the base of a...Ch. 7.5 - Prob. 20ESCh. 7.5 - Prob. 21ESCh. 7.5 - Prob. 22ESCh. 7.5 - Prob. 23ESCh. 7.5 - Prob. 24ESCh. 7.5 - Solve. The length of a side of a cube is equal to...Ch. 7.5 - Solve. A sphere and a cylinder have the same...Ch. 7.5 - Prob. 27ESCh. 7.5 - Prob. 28ESCh. 7.5 - Prob. 29ESCh. 7.5 - Prob. 30ESCh. 7.5 - Prob. 31ESCh. 7.5 - Prob. 32ESCh. 7.5 - Solve. Surface Area Find the exact surface area of...Ch. 7.5 - Prob. 34ESCh. 7.5 - Solve. Surface Area The radius of the base of a...Ch. 7.5 - Prob. 36ESCh. 7.5 - Solve. Surface Area The slant height of a cone is...Ch. 7.5 - Prob. 38ESCh. 7.5 - Prob. 39ESCh. 7.5 - Prob. 40ESCh. 7.5 - Solve. Appliances The volume of a freezer that is...Ch. 7.5 - Prob. 42ESCh. 7.5 - Solve. Paint A can of paint will cover 300 ft2 of...Ch. 7.5 - Solve. Ballooning A hot air balloon is in the...Ch. 7.5 - Prob. 45ESCh. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Prob. 49ESCh. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Prob. 54ESCh. 7.5 - Prob. 55ESCh. 7.5 - Oil Tanks A truck is carrying an oil tank. The...Ch. 7.5 - Swimming Pools How many liters of water are needed...Ch. 7.5 - Prob. 58ESCh. 7.5 - Prob. 59ESCh. 7.5 - Prob. 60ESCh. 7.5 - Prob. 61ESCh. 7.5 - A sphere fits inside a cylinder as shown in the...Ch. 7.5 - Prob. 63ESCh. 7.5 - Prob. 64ESCh. 7.5 - Explain how you could cut through a cube so that...Ch. 7.6 - Draw a horizontal line segment 10cm long with left...Ch. 7.6 - Using a protractor, construct at A a 35° angle.Ch. 7.6 - Draw at C a vertical line that intersects the...Ch. 7.6 - Prob. 4EECh. 7.6 - Prob. 5EECh. 7.6 - Prob. 6EECh. 7.6 - Prob. 7EECh. 7.6 - Prob. 8EECh. 7.6 - Prob. 1ESCh. 7.6 - Prob. 2ESCh. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Prob. 11ESCh. 7.6 - Prob. 12ESCh. 7.6 - Prob. 13ESCh. 7.6 - Prob. 14ESCh. 7.6 - Prob. 15ESCh. 7.6 - Prob. 16ESCh. 7.6 - Prob. 17ESCh. 7.6 - Prob. 18ESCh. 7.6 - Prob. 19ESCh. 7.6 - Prob. 20ESCh. 7.6 - Prob. 21ESCh. 7.6 - Prob. 22ESCh. 7.6 - Prob. 23ESCh. 7.6 - Prob. 24ESCh. 7.6 - Prob. 25ESCh. 7.6 - Prob. 26ESCh. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Prob. 31ESCh. 7.6 - Prob. 32ESCh. 7.6 - Prob. 33ESCh. 7.6 - Prob. 34ESCh. 7.6 - Prob. 35ESCh. 7.6 - Prob. 36ESCh. 7.6 - Prob. 37ESCh. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Prob. 39ESCh. 7.6 - Prob. 40ESCh. 7.6 - Prob. 41ESCh. 7.6 - Prob. 42ESCh. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Prob. 50ESCh. 7.6 - Prob. 51ESCh. 7.6 - Prob. 52ESCh. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Prob. 56ESCh. 7.6 - Prob. 57ESCh. 7.6 - Prob. 58ESCh. 7.6 - Prob. 59ESCh. 7.6 - Prob. 60ESCh. 7.6 - Recall that the circumference of a circle is given...Ch. 7.6 - Prob. 62ESCh. 7.6 - Prob. 63ESCh. 7.6 - Prob. 64ESCh. 7.6 - Prob. 65ESCh. 7.6 - Prob. 66ESCh. 7.6 - Prob. 67ESCh. 7.6 - Prob. 68ESCh. 7.6 - Prob. 69ESCh. 7.6 - Prob. 70ESCh. 7.6 - Prob. 71ESCh. 7.6 - Prob. 72ESCh. 7.6 - Prob. 73ESCh. 7.6 - Prob. 74ESCh. 7.7 - Prob. 1EECh. 7.7 - Prob. 2EECh. 7.7 - Prob. 3EECh. 7.7 - Prob. 4EECh. 7.7 - Prob. 5EECh. 7.7 - Prob. 6EECh. 7.7 - Prob. 7EECh. 7.7 - Prob. 1ESCh. 7.7 - Prob. 2ESCh. 7.7 - Prob. 3ESCh. 7.7 - What is the maximum number of right angles a...Ch. 7.7 - Prob. 5ESCh. 7.7 - Prob. 6ESCh. 7.7 - Prob. 7ESCh. 7.7 - In which geometry can two distinct lines be...Ch. 7.7 - Prob. 9ESCh. 7.7 - Prob. 10ESCh. 7.7 - Find the exact area of a spherical triangle with...Ch. 7.7 - Find the area of a spherical triangle with three...Ch. 7.7 - Prob. 13ESCh. 7.7 - Prob. 14ESCh. 7.7 - Prob. 15ESCh. 7.7 - Prob. 16ESCh. 7.7 - Prob. 17ESCh. 7.7 - Prob. 18ESCh. 7.7 - Prob. 19ESCh. 7.7 - Prob. 20ESCh. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - Prob. 22ESCh. 7.7 - Prob. 23ESCh. 7.7 - Prob. 24ESCh. 7.7 - Prob. 25ESCh. 7.7 - Prob. 26ESCh. 7.7 - Prob. 27ESCh. 7.7 - Prob. 28ESCh. 7.7 - Prob. 29ESCh. 7.7 - Prob. 30ESCh. 7.7 - Prob. 31ESCh. 7.7 - Prob. 32ESCh. 7.7 - Prob. 33ESCh. 7.7 - Prob. 34ESCh. 7.7 - Prob. 35ESCh. 7.7 - Prob. 36ESCh. 7.7 - Prob. 37ESCh. 7.7 - Prob. 38ESCh. 7.8 - Prob. 1EECh. 7.8 - Prob. 2EECh. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Prob. 5EECh. 7.8 - Use an iterative process to draw stage 2 and stage...Ch. 7.8 - Use an iterative process to draw stage 2 and stage...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Prob. 5ESCh. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Prob. 7ESCh. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Prob. 9ESCh. 7.8 - Draw stage 3 and stage 4 of the fractal defined by...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Prob. 12ESCh. 7.8 - Prob. 13ESCh. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Prob. 17ESCh. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compare Similarity Dimensions Rank, from largest...Ch. 7.8 - Prob. 22ESCh. 7.8 - Prob. 23ESCh. 7.8 - Prob. 24ESCh. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - The price of a beverage is $3.56 per liter. What...Ch. 7 - Given that in ma=74 and in mb=52, find the...Ch. 7 - Triangles ABC and DEF are similar. Find the...Ch. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Given that BC=11 cm and that AB is three times the...Ch. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Patios What is the area of a square patio that...Ch. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Surveying Find the distance across the marsh in...Ch. 7 - Angle of Depression The distance from a plane to a...Ch. 7 - Angle of Elevation The angle of elevation from a...Ch. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Find the volume of a cylinder with a height of 6 m...Ch. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - In the figure below, lines l1 and l2 are parallel....Ch. 7 - In the figure below, lines l1 and l2 are parallel....Ch. 7 - Convert: 1.2 m = ________ cm.Ch. 7 - Find the volume of the figure. Give the exact...Ch. 7 - Triangles ABC and DEF arc similar. Find side BC.Ch. 7 - A right triangle has a 40° angle. Find the...Ch. 7 - Find the measure of x.Ch. 7 - Find the area of the parallelogram shown below.Ch. 7 - Surveying Find the width of the canal shown in the...Ch. 7 - Pizza How much more area is in a pizza with radius...Ch. 7 - Determine whether the two triangles are congruent....Ch. 7 - For the right triangle shown below, determine the...Ch. 7 - Find the values of sin , cos , and tan for the...Ch. 7 - Angle of Elevation From a point 27 ft from the...Ch. 7 - Trees Find the cross-sectional area of a redwood...Ch. 7 - Toolbox A toolbox is 14 in. long, 9 in. wide, and...Ch. 7 - Find the speed, in meters per second, of a car...Ch. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Find the area of a spherical triangle with a...Ch. 7 - City Geometry Find the Euclidean distance and the...Ch. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Compute the replacement ratio, scale ratio, and...
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- mate hat is the largest area that can be en 18 For the function y=x³-3x² - 1, use derivatives to: (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (c) determine the intervals of concavity. (d) determine the points of inflection. b) (e) sketch the graph with the above information indicated on the graph.arrow_forwarduse L'Hopital Rule to evaluate the following. a) 4x3 +10x2 23009׳-9 943-9 b) hm 3-84 хто бу+2 < xan x-30650)arrow_forwardConstruct a know-show table for each statement below that appears to be true.arrow_forward
- Problem 3. Pricing a multi-stock option the Margrabe formula The purpose of this problem is to price a swap option in a 2-stock model, similarly as what we did in the example in the lectures. We consider a two-dimensional Brownian motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices are modeled by the following equations: dX = dY₁ = X₁ (rdt+ rdt+0₁dW!) (²)), Y₁ (rdt+dW+0zdW!"), with Xo xo and Yo =yo. This corresponds to the multi-stock model studied in class, but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure P is already the risk-neutral measure (Both stocks have rate of return r). We write σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to exchange one share of X for one share of Y. That is, the option has payoff F=(Yr-XT). (a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for the process Xt. Reminder before proceeding to question (b): Girsanov's theorem…arrow_forwardProblem 1. Multi-stock model We consider a 2-stock model similar to the one studied in class. Namely, we consider = S(1) S(2) = S(¹) exp (σ1B(1) + (M1 - 0/1 ) S(²) exp (02B(2) + (H₂- M2 where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with t≥0 Cov (B(¹), B(2)) = p min{t, s}. " The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian motion (W+)+20 (W(1), W(2))+20 such that = S(1) S(2) = = S(¹) exp (011W(¹) + (μ₁ - 01/1) t) 롱) S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t). where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p). Hint: The constants will follow the formulas developed in the lectures. (a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2) functions of (B(1), B(²)). as (b) Using the formulas obtained in (a), show that the process (WA) is actually a 2- dimensional standard Brownian motion (i.e. show that each component is normal, with mean 0, variance t, and that their…arrow_forwardRoedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand. Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If Roedel manufactures a…arrow_forward
- Show three different pairs of integers, a and b, where at least one example includes a negative integer. For each of your examples, determine if each of the following statements are true or falsearrow_forwardThe scores of 8 students on the midterm exam and final exam were as follows. Student Midterm Final Anderson 98 89 Bailey 88 74 Cruz 87 97 DeSana 85 79 Erickson 85 94 Francis 83 71 Gray 74 98 Harris 70 91 Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary. Test statistic: rs =arrow_forward(a) Develop a model that minimizes semivariance for the Hauck Financial data given in the file HauckData with a required return of 10%. Assume that the five planning scenarios in the Hauck Financial rvices model are equally likely to occur. Hint: Modify model (8.10)-(8.19). Define a variable d, for each scenario and let d₂ > R - R¸ with d ≥ 0. Then make the objective function: Min Let FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG = proportion of portfolio invested in the small-cap growth fund SV = proportion of portfolio invested in the small-cap value fund R = the expected return of the portfolio R = the return of the portfolio in years. Min s.t. R₁ R₂ = R₁ R R5 = FS + IB + LG + LV + SG + SV = R₂ R d₁ =R- d₂z R- d₂ ZR- d₁R- d≥R- R = FS, IB, LG, LV, SG, SV…arrow_forward
- The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to determine which cities Martin-Beck should construct a plant in. Let y₁ = 1 if a plant is constructed in Detroit; 0 if not y₂ = 1 if a plant is constructed in Toledo; 0 if not y₂ = 1 if a plant is constructed in Denver; 0 if not y = 1 if a plant is constructed in Kansas City; 0 if not. The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem. *,, = the units shipped in thousands from plant i to distribution center j i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…arrow_forwardConsider the following mixed-integer linear program. Max 3x1 + 4x2 s.t. 4x1 + 7x2 ≤ 28 8x1 + 5x2 ≤ 40 x1, x2 ≥ and x1 integer (a) Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph. The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0). The region is above the horizontal axis, to the right of the vertical axis, and below the line segments. At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…arrow_forwardConsider the nonlinear optimization model stated below. Min s.t. 2x²-18x + 2XY + y² - 14Y + 53 x + 4Y ≤ 8 (a) Find the minimum solution to this problem. |at (X, Y) = (b) If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is| , so the actual change is a decrease of rather than what we expected in part (b).arrow_forward
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