
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 42ES
To determine
To find the value of
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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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- Name Assume there is the following simplified grade book: Homework Labs | Final Exam | Project Avery 95 98 90 100 Blake 90 96 Carlos 83 79 Dax 55 30 228 92 95 79 90 65 60 Assume that the weights used to compute the final grades are homework 0.3, labs 0.2, the final 0.35, and the project 0.15. | Write an explicit formula to compute Avery's final grade using a single inner product. Write an explicit formula to compute everyone's final grade simultane- ously using a single matrix-vector product.arrow_forward1. Explicitly compute by hand (with work shown) the following Frobenius inner products 00 4.56 3.12 (a) ((º º º). (156 (b) 10.9 -1 0 2)), Fro 5')) Froarrow_forward3. Let 4 0 0 00 0 0 1.2 0 00 0 0 0 -10.1 0 0 0 D = 0 0 0 00 0 0 0 0 05 0 0 0 0 0 0 2.8 Either explicitly compute D-¹ or explain why it doesn't exist.arrow_forward
- 4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forwardB3 Consider X ~ Bern(p) (a) Find Mx(t), the moment generating function of X. iid (b) If X1,..., Xn Bern(p), find the MGF, say My (t) of n Y = ΣΧ (c) Using the fact that i=1 n lim (1 (1+2)"= N→X = e² find limn→∞ My (t) in the case that p satisfies limn→∞ np = λ, say. (d) State the distribution of Y in the case that n is not large, and the distribution of Y in the limiting case described in the question.arrow_forward
- B1 The density of the x2 distribution is given in the notes as 1 F(§)2/2 (x)=()2/21 x/2-1/2, if x > 0, and e where I(t)=√xt-¹e dx is the gamma function. otherwise, Find the point at which o(a) has its maximum, i.e. find arg max, o, (x)arrow_forwardFor the matrix A = = ( 6 }) . explicitly compute by hand (with work shown) the following. I2A, where I2 is the 2 × 2 identity matrix. A-1 solving the following linear systems by using A-¹: c+y= 1 y = 1 (d) (e) (f) A² find the diagonal entries of Aarrow_forwardIf 3x−y=12, what is the value of 8x / 2y A) 212B) 44C) 82D) The value cannot be determined from the information given.arrow_forward
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