
Concept explainers
Choose from the terms below to fill in the blanks for exercises 7–34. Each of the terms will be used at least once.
vertex |
supplementary angles |
corresponding angles |
|
|
a straight angle |
complementary angles |
alternate interior angles |
|
|
an obtuse angle |
vertical angles |
transversal |
|
|
an acute angle |
|
Use the figure to the right to answer exercises 9–12

Want to see the full answer?
Check out a sample textbook solution
Chapter 10 Solutions
Prealgebra (6th Edition)
- Electric charge is distributed over the triangular region D shown below so that the charge density at (x, y) is σ(x, y) = 4xy, measured in coulumbs per square meter (C/m²). Find the total charge on D. Round your answer to four decimal places. 1 U 5 4 3 2 1 1 2 5 7 coulumbsarrow_forwardLet E be the region bounded cone z = √√/6 - (x² + y²) and the sphere z = x² + y² + z² . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple Integral Spherical Coordinates Cutout of sphere is for visual purposes 0.8- 0.6 z 04 0.2- 0- -0.4 -0.2 04 0 0.2 0.2 x -0.2 04 -0.4 Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Round your answer to 4 decimal places. Hint: Solve the cone equation for phi. * Oops - try again.arrow_forwardThe temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane 9.x+y+z = 1 is T(x, y, z) = (xy + 8z +20) degrees Celcius. Find the average temperature over the solid. (Answer to 4 decimal places). Average Value of a function using 3 variables z 1- y Hint: y = -a·x+1 * Oops - try again. xarrow_forward
- Find the saddle pointsarrow_forwardProblem #5 Section A of my math class has 110 students. Section B of my math class has 80 students. a). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 15 students can from Section A? b). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 15 students can from Section B? c). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 7 students come from section A and 8 students come from section B?arrow_forwardProblem #6 A special passcode to unlock your phone consists of 4 digits where repeated digits are not allowed. If someone were to randomly guess a 4 digit passcode, what is the probability that they guess your passcode on the first try?arrow_forward
- Problem #3 If a card is picked at random from a standard 52-card deck, what is the probability of getting a black card or a queen?arrow_forwardProblem #1 In the 2010 census, it was reported that the United States had a population of 310 million people. Of those, 74 million were under the age of 18. If you chose a person from the U.S. population at random, what is the probability they are under the age of 18? Problem #2 Given a set S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if you were choosing a number at random what is the probability that you would choose an even number or a number larger than 7?arrow_forwardAnswer number twoarrow_forward
- Answer number onearrow_forwardFor the curve defined by r(t) = (e** cos(t), et sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = πT 3 T (1) N Ň (1) 133 | aN = 53 ar = = =arrow_forwardFind the tangential and normal components of the acceleration vector for the curve - F(t) = (2t, −3t³, −3+¹) at the point t = 1 - ā(1) = T + Ñ Give your answers to two decimal placesarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,




