Elementary Geometry for College Students
6th Edition
ISBN: 9781285195698
Author: Daniel C. Alexander, Geralyn M. Koeberlein
Publisher: Cengage Learning
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Textbook Question
Chapter 1.4, Problem 9E
Use drawings as needed to answer each of the following questions.
Must two rays with a common endpoint be coplanar? Must three rays with a common endpoint be coplanar?
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10. Consider two bodies rotating as in the figure on the right. Object A rotates on the inner
ring while B rotates on the outer ring. If both takes 6 seconds to revolve around the center,
what is true about the angular speed w of the two objects?
A. WA WB
C. WA = WB
D. Wg = 2w4
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Locate the three purple points on the image below and answer the following questions:
1. Are these points coplanar?
2. Why or why not?
Next, identify the three red points on the image below and answer the following questions:
3. Are these points collinear?
4. Why or why not?
The Jefferson Memorial, located in Washington, D.C., shows examples of coplanar and other types of points.
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BIU
A frog is sitting on the edge of a playground carousel with radius 1 meter. The ray through the frog's position and
the center of the carousel makes an angle of measure e with the horizontal, and his starting coordinates are
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a.
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z*+ y* = 1
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2
е.
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f.
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h.
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b.
Chapter 1 Solutions
Elementary Geometry for College Students
Ch. 1.1 - In Exercises 1 and 2, which sentences are...Ch. 1.1 - In Exercises 1 and 2, which sentences are...Ch. 1.1 - In Exercises 3 and 4, give the negation of each...Ch. 1.1 - In Exercises 3 and 4, give the negation of each...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...
Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - Prob. 14ECh. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - Prob. 32ECh. 1.1 - In Exercises 33 to 36, use intuition to state a...Ch. 1.1 - Prob. 34ECh. 1.1 - In Exercises 33 to 36, use intuition to state a...Ch. 1.1 - In Exercises 33 to 36, use intuition to state a...Ch. 1.1 - Prob. 37ECh. 1.1 - In Exercises 37 to 40, use induction to state a...Ch. 1.1 - Prob. 39ECh. 1.1 - In Exercises 37 to 40, use induction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - Prob. 47ECh. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - Prob. 55ECh. 1.1 - In Exercises 55 and 56, P is a true statement,...Ch. 1.1 - In Exercises 55 and 56, P is a true statement,...Ch. 1.2 - If line segment AB and line segment CD are drawn...Ch. 1.2 - If angles ABC and DEF were measured with a...Ch. 1.2 - How many endpoints does a line segment have? How...Ch. 1.2 - Do the points A, B, and C appear to be collinear?Ch. 1.2 - How many lines can be drawn that contain both...Ch. 1.2 - Consider noncollinear points A, B, and C. If each...Ch. 1.2 - Name all the angles in the figure.Ch. 1.2 - Which of the following measures can an angle have?...Ch. 1.2 - Must two different points be collinear? Must three...Ch. 1.2 - Which symbols correctly expresses the order in...Ch. 1.2 - Which symbols correctly name the angle shown?ABC,...Ch. 1.2 - A triangle is named ABC. Can it also be named ACB?...Ch. 1.2 - Consider rectangle MNQ. Can it also be named...Ch. 1.2 - Suppose ABC and DEF have the same measure. Which...Ch. 1.2 - Suppose AB and CD have the same length. Which...Ch. 1.2 - When two lines cross intersect, they have exactly...Ch. 1.2 - Judging from the ruler shown not to scale,...Ch. 1.2 - Judging from the ruler, estimate the measure of...Ch. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Consider the square at the right, RSTV. It has...Ch. 1.2 - Square RSTV has diagonals RT and SV not shown. If...Ch. 1.2 - Use a compass to draw a circle. Draw a radius, a...Ch. 1.2 - Use a compass to draw a circle of radius 1 inch....Ch. 1.2 - The sides of the pair of angles are parallel. Are...Ch. 1.2 - The sides of the pair of angles are parallel. Are...Ch. 1.2 - The sides of the pair of angles are perpendicular....Ch. 1.2 - The sides of the pair of angles are perpendicular....Ch. 1.2 - On a piece of paper, use your compass to construct...Ch. 1.2 - On a piece of paper, use your protractor to draw a...Ch. 1.2 - A trapezoid is a four-sided figure that contains...Ch. 1.2 - In the rectangle shown, what is true of the...Ch. 1.2 - Prob. 33ECh. 1.2 - An angle is bisected if its two parts have the...Ch. 1.2 - Prob. 35ECh. 1.2 - Prob. 36ECh. 1.2 - Prob. 37ECh. 1.2 - Prob. 38ECh. 1.2 - ABC is straight angle. Using your protractor, you...Ch. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - In Exercises 41 to 44,m1+m2=mABC. Find m1 if...Ch. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - A compass was used to mark off three congruent...Ch. 1.2 - Use your compass and straightedge to bisect EF.Ch. 1.2 - In the figure, m1=x and m2=y. If x-y=24, find x...Ch. 1.2 - In the drawing, m1=x and m2=y. If mRSV=67 and...Ch. 1.2 - For Exercises 49 to 50, use the following...Ch. 1.2 - For Exercises 49 to 50, use the following...Ch. 1.3 - In Exercises 1 and 2, complete the statement....Ch. 1.3 - In Exercises 1 and 2, complete the statement....Ch. 1.3 - In Exercises 3 and 4, use the fact that...Ch. 1.3 - Prob. 4ECh. 1.3 - Prob. 5ECh. 1.3 - In Exercises 5 and 6, use the fact that...Ch. 1.3 - Prob. 7ECh. 1.3 - A cross-country runner jogs at a rate of 15 feet...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 20ECh. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 27ECh. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 29ECh. 1.3 - In Exercises 29 to 32, use only a compass and a...Ch. 1.3 - In Exercises 29 to 32, use only a compass and a...Ch. 1.3 - Prob. 32ECh. 1.3 - Can you use the construction for the midpoint of a...Ch. 1.3 - Generalize your findings in Exercise 33. 33. Can...Ch. 1.3 - Consider points A, B, C, and D, no three of which...Ch. 1.3 - Consider noncoplanar points A, B, C, and D. Using...Ch. 1.3 - Line l is parallel to plane P that is, it will not...Ch. 1.3 - AB and EF are said to be skew lines because they...Ch. 1.3 - Exercises 3840 In the box shown for Exercise 38,...Ch. 1.3 - Exercises 3940 In the box shown for Exercise 38,...Ch. 1.3 - Let AB=a and BC=b. Point M is the midpoint of BC....Ch. 1.4 - What type of angle has the given measure? a 47 b...Ch. 1.4 - What type of angle has the given measure? a 115 b...Ch. 1.4 - What relationship, if any, exists between two...Ch. 1.4 - What relationship, if any, exists between two...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - Use drawings as needed to answer each of the...Ch. 1.4 - Suppose that AB,AC,AD,AE, and AF are coplanar,...Ch. 1.4 - Exercises 10-13 Without using a protractor, name...Ch. 1.4 - Exercises 10-13 What, if anything, is wrong with...Ch. 1.4 - Exercises 10-13 FAC and CAD are adjacent and AF...Ch. 1.4 - For Exercises 14 and 15, let m1=x and m2=y. Using...Ch. 1.4 - For Exercises 14 and 15, let m1=x and m2=y. Using...Ch. 1.4 - Given: mRST=39 mTSV=23 Find: mRSV Exercises 1624Ch. 1.4 - Exercises 1624 Given: mRSV=59 mTSV=17 Find: mRSTCh. 1.4 - Exercises 1624 Given: mRST=2x+9 mTSV=3x2 mRSV=67...Ch. 1.4 - Exercises 1624 Given: mRST=2x10 mTSV=x+6...Ch. 1.4 - Exercises 1624 Given: mRST=5(x+1)3 mTSV=4(x2)+3...Ch. 1.4 - Exercises 1624 Given: mRST=x2 mTSV=x4 mRSV=45...Ch. 1.4 - Exercises 1624 Given: mRST=2x3 mTSV=x2 mRSV=49...Ch. 1.4 - Exercises 1624 Given: STbisectsRSV mRST=x+y...Ch. 1.4 - Exercises 1624 Given: STbisectsRSV mRST=2x+3y...Ch. 1.4 - Given: AB and AC in plane P as shown AD intersects...Ch. 1.4 - Two angles are complementary. One angle is 12...Ch. 1.4 - Two angles are supplementary. One angle is 24 more...Ch. 1.4 - For two complementary angles, find an expression...Ch. 1.4 - Suppose that the two angles are supplementary....Ch. 1.4 - On the protractor shown, NP bisects MNQ. Find x....Ch. 1.4 - Exercises 30,31 On the protractor shown for...Ch. 1.4 - Classify as true or false: a If points P and Q lie...Ch. 1.4 - Prob. 33ECh. 1.4 - Prob. 34ECh. 1.4 - In Exercises 33 to 40, use only a compass and a...Ch. 1.4 - Prob. 36ECh. 1.4 - Draw a triangle with three acute angles. Construct...Ch. 1.4 - Prob. 38ECh. 1.4 - Prob. 39ECh. 1.4 - Prob. 40ECh. 1.4 - Prob. 41ECh. 1.4 - If mTSV=38,mUSW=40, and mTSW=61, find mUSV....Ch. 1.4 - Exercises 44, 45 If mTSU=x+2z,mUSV=xz, and...Ch. 1.4 - Prob. 44ECh. 1.4 - Prob. 45ECh. 1.4 - With 0x90, an acute angle has a measure x. Find...Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - In Exercises 7 10, state the property or...Ch. 1.5 - In Exercises 7 10, state the property or...Ch. 1.5 - Prob. 9ECh. 1.5 - In Exercises 7 10, state the property or...Ch. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - In Exercises 11 to 22, use the Given information...Ch. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - In Exercises 11 to 22, use the Given information...Ch. 1.5 - Prob. 22ECh. 1.5 - In Exercises 23 to 24, fill in the missing reasons...Ch. 1.5 - In Exercises 23 to 24, fill in the missing reasons...Ch. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.5 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.5 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.5 - In Exercises 31 and 32, fill in the missing...Ch. 1.5 - In Exercises 31 and 32, fill in the missing...Ch. 1.5 - Prob. 33ECh. 1.5 - Prob. 34ECh. 1.5 - Prob. 35ECh. 1.5 - The Division Property of Inequality requires that...Ch. 1.5 - Prob. 37ECh. 1.5 - Write a proof for: If a=b and c=d, then ac=bd....Ch. 1.6 - In Exercise 1 and 2, supply reasons. Given: 13...Ch. 1.6 - In Exercise 1 and 2, supply reasons. Given: AB...Ch. 1.6 - In Exercise 3 and 4, supply statements. Given: 12...Ch. 1.6 - In Exercise 3 and 4, supply statements. Given:...Ch. 1.6 - In Exercise 5 to 9, use a compass and a...Ch. 1.6 - In Exercises 5 to 9, use a compass and a...Ch. 1.6 - In Exercise 5 to 9, use a compass and a...Ch. 1.6 - Prob. 8ECh. 1.6 - Prob. 9ECh. 1.6 - Prob. 10ECh. 1.6 - In Exercise 11 and 12, provide the missing...Ch. 1.6 - In Exercise 11 and 12, provide the missing...Ch. 1.6 - Does the relation is perpendicular to have a...Ch. 1.6 - Does the relation is greater than have a reflexive...Ch. 1.6 - Does the relation is complementary to for angles...Ch. 1.6 - Does the relation is less than for a numbers have...Ch. 1.6 - Does the relation is a brother of have a reflexive...Ch. 1.6 - Does the relation is in love with have a reflexive...Ch. 1.6 - Prob. 19ECh. 1.6 - Prob. 20ECh. 1.6 - Prob. 21ECh. 1.6 - Prob. 22ECh. 1.6 - Prove the Extended Segment Addition Property by...Ch. 1.6 - The Segment-Addition Postulate can be generalized...Ch. 1.6 - Prove the Extended Angle Addition Property by...Ch. 1.6 - The Angle-Addition Postulate can be generalized as...Ch. 1.6 - Prob. 27ECh. 1.6 - In the proof below, provide the missing reasons....Ch. 1.6 - Prob. 29ECh. 1.6 - Prob. 30ECh. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - Prob. 5ECh. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - Name, in order, the five parts of the formal proof...Ch. 1.7 - Which part hypothesis or conclusion of a theorem...Ch. 1.7 - Which part Given or Prove of the proof depends...Ch. 1.7 - Which of the following can be cited as a reason in...Ch. 1.7 - When can a theorem be cited as a reason reason in...Ch. 1.7 - Based upon the hypothesis of a theorem, do the...Ch. 1.7 - Prob. 13ECh. 1.7 - Prob. 14ECh. 1.7 - For each theorem stated in Exercises 13 to 18,...Ch. 1.7 - Prob. 16ECh. 1.7 - For each theorem stated in Exercises 13 to 18,...Ch. 1.7 - Prob. 18ECh. 1.7 - Prob. 19ECh. 1.7 - Prob. 20ECh. 1.7 - Prob. 21ECh. 1.7 - Prob. 22ECh. 1.7 - Prob. 23ECh. 1.7 - Prob. 24ECh. 1.7 - In Exercises 19 to 26, use the drawing in which AC...Ch. 1.7 - In Exercises 19 to 26, use the drawing in which AC...Ch. 1.7 - Prob. 27ECh. 1.7 - Prob. 28ECh. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.7 - Prob. 30ECh. 1.7 - Prob. 31ECh. 1.7 - Prob. 32ECh. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.CR - Name the four components of a mathematical system.Ch. 1.CR - Name three types of reasoning.Ch. 1.CR - Name the four characteristics of a good...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 7 and 8, state the hypothesis...Ch. 1.CR - In Review Exercises 7 and 8, state the hypothesis...Ch. 1.CR - Prob. 9CRCh. 1.CR - Prob. 10CRCh. 1.CR - Prob. 11CRCh. 1.CR - A, B and C are three points on a line. AC=8, BC=4,...Ch. 1.CR - Use three letters to name the angle shown. Also...Ch. 1.CR - Figure MNPQ is a rhombus. Draw diagonals MP and QN...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - On the basis of appearance, what type of angle is...Ch. 1.CR - On the basis of appearance, what type of angle is...Ch. 1.CR - Given: BD bisects ABC mABD=2x+15 mDBC=3x+5 Find:...Ch. 1.CR - Given: mABD=2x+5 mDBC=3x4 mABC=86 Find: mDBCCh. 1.CR - Given: AM=3x1 MB=4x5 M is the midpoint of AB Find:...Ch. 1.CR - Given: AM=4x4 MB=5x+2 AB=25 Find: MBCh. 1.CR - Given: D is the midpoint of AC ACBC CD=2x+5...Ch. 1.CR - Given: m3=7x21 m4=3x+7 Find: mFMHCh. 1.CR - Given: mFMH=4x+1 m4=x+4 Find: m4Ch. 1.CR - In the figure, find: a KHFJ b MJMH c KMJJMH d MKMHCh. 1.CR - Given: EFG is a right angle. mHFG=2x6 mEFH=3mHFG...Ch. 1.CR - Two angles are supplementary. One angle is 40 more...Ch. 1.CR - aWrite an expression for the perimeter of the...Ch. 1.CR - The sum of the measures of all three angles of the...Ch. 1.CR - Susan wants to have a 4-ft board with some pegs on...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - Fill in the missing statements or reasons. Given:...Ch. 1.CR - Write two-column proofs for Review Exercises 39 to...Ch. 1.CR - Write two-column proofs for Review Exercises 39 to...Ch. 1.CR - Prob. 41CRCh. 1.CR - Prob. 42CRCh. 1.CR - Prob. 43CRCh. 1.CR - Prob. 44CRCh. 1.CR - Prob. 45CRCh. 1.CR - Prob. 46CRCh. 1.CR - Given: VP Construct: VW such that VW=4VPCh. 1.CR - Prob. 48CRCh. 1.CR - Prob. 49CRCh. 1.CR - Prob. 50CRCh. 1.CR - Prob. 51CRCh. 1.CR - Prob. 52CRCh. 1.CT - Which type of reasoning is illustrated...Ch. 1.CT - Given ABC as shown, provide a second correct...Ch. 1.CT - Using the Segment-Addition Postulate, state a...Ch. 1.CT - Complete each postulate: a If two lines intersect,...Ch. 1.CT - Prob. 5CTCh. 1.CT - Prob. 6CTCh. 1.CT - Given that NP bisects MNQ, state a conclusion...Ch. 1.CT - Complete each theorem: a If two lines are...Ch. 1.CT - State the conclusion for the following deductive...Ch. 1.CT - Prob. 10CTCh. 1.CT - In the figure, AB=x, BD=x+5, and AD=27. Find: a...Ch. 1.CT - Prob. 12CTCh. 1.CT - Prob. 13CTCh. 1.CT - Prob. 14CTCh. 1.CT - Prob. 15CTCh. 1.CT - Prob. 16CTCh. 1.CT - Prob. 17CTCh. 1.CT - Construct the angle bisector of obtuse angle RST.Ch. 1.CT - Prob. 19CTCh. 1.CT - In exercises 20 to 22, complete the missing...Ch. 1.CT - Prob. 21CTCh. 1.CT - In exercises 20 to 22, complete the missing...Ch. 1.CT - Prob. 23CT
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- A frame consisting of a simple span BD, an overhang AB, and a bracket CEF, is supported by a pin at B and a roller at D (see Figure 2). The beam ABCD has a uniform cross section with a moment of inertia I = 0.00025 ft. The frame is subjected to a concentrated load P at point Fas shown in the figure. Take E = 32,000 ksi, L = 12 ft, a = 6 ft, and P = 900 lb. a) Draw the shear force and bending moment diagrams of the horizontal section ABCD using the graphical method. (Hint: use the method of sections to study CEF first) b) Using the method of superposition, find an expression for the elastic curve v(x) of the segment BC. x is a horizontal coordinate measured from point of A. (Hint: select appropriate cases from the table shown below and use superposition to find v(x) for 0≤ x' ≤3, then translate the origin of the coordinate system to point A to get the final expression in terms of x). c) Using the method of integration, find expressions for the elastic curve v(x) of the segments AB and…arrow_forwardII. Two sprinklers with a spray radius of 50 feet are located 50 feet apart. Find the total area covered by the sprinklers if they are both on at full power in two different ways. A. Set up polar coordinate equations and use calculus. B. Use basic facts of geometry.arrow_forwardThe wave properties of electrons have been observed, but there are no observable wave properties of bowling balls. Below are data that represent electrons and bowling balls in motion. electron bowling ball Mass (kg) -31 9.11 x 10-3 7.35 The wavelength for the electron is a.b x 10-cd m? The values of a, b, c, and d, respectively, are provided with no spaces or commas.) Answer: Speed (m/s) 3.75 x 106 13.2 and (Record all four digits of your answer in the spacearrow_forward
- 3. When riding the London Eye (Very large Ferris Wheel with pods), a person's height over time can be determined. The London Eye is 443 ft tall and the wheel has a diameter of 394 feet. One revolution takes 20 minutes. a) Determine a sinusoidal equation to model this scenario using the values of a, k, d & c. b) How high are you after 11 min? c) At what height above the ground (minimum height) do you get onto the Ferris Wheel? d) Use this equation to find out how long the rider will be 400 ft or higher above the ground in one revolution. = 443 = 221.5 ft 42 P=20min K=* do start pt - 20 mins (Complete on revolute) ince cosine starts at max: when t=o do- no phase Shift + 14 =2=27π Чт 20 C=O person starts at bottom 25 in (1x1) +443 (t) = 221-5 cos (1/10tarrow_forwardConsider the figure shown below. B' VB L UA A' The fiber AB has an undeformed length of L = 1.6 m. In its original position, it makes an angle theta = 47 in degrees with the x-axis as shown. After a load is applied, the ends A and B undergo displacements ua and vB, respectively along the x and y axes as indicated in the figure. If the displacements u, = 0.4 (in m) and vg = 0.5 (in m), then compute the normal strain (up to three decimal places) when it reaches the new configuration A'B'. Answer:arrow_forward3. A ball is thrown with an initial velocity of 70 ft/sec, at an angle of 35° with the horizontal. Find the vertical and horizontal components of the velocity. 4. To carry a 100-pound cylindrical weight, two people lift on the ends of short ropes that are tied to an eyelet on the top center of the cylinder. Each rope makes a 20° angle with the vertical. Draw a figure that gives a visual representation of the problem, and find the tension in the ropes.arrow_forward
- Pulleys C and D in Figure are fastened together. Weights A and B are supported by ropes wound around the pulleys as shown. The radius for pulley C is 162 mm and the radius for pulley D is 124 mm. If weight A is attached to pully C and is accelerating downward at 2.4 m/s2, determine the angular acceleration of pulleys C and D. Provide your answer in rad/s2 and round to the nearest one decimal place.arrow_forwardPlease answer no. 4 onlyarrow_forwardSolve this multiple choice questions correctly in 1 hour and get the thumbs up please show neat and clean workarrow_forward
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