Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 4.3, Problem 39E
To determine
The trigonometric functions of angle
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Selon une économiste d’une société financière, les dépenses moyennes pour « meubles et appareils de maison » ont été moins importantes pour les ménages de la région de Montréal, que celles de la région de Québec.
Un échantillon aléatoire de 14 ménages pour la région de Montréal et de 16 ménages pour la région Québec est tiré et donne les données suivantes, en ce qui a trait aux dépenses pour ce secteur d’activité économique.
On suppose que les données de chaque population sont distribuées selon une loi normale.
Nous sommes intéressé à connaitre si les variances des populations sont égales.a) Faites le test d’hypothèse sur deux variances approprié au seuil de signification de 1 %. Inclure les informations suivantes :
i. Hypothèse / Identification des populationsii. Valeur(s) critique(s) de Fiii. Règle de décisioniv. Valeur du rapport Fv. Décision et conclusion
b) A partir des résultats obtenus en a), est-ce que l’hypothèse d’égalité des variances pour cette…
Q4
4 Points
3
Let A =
5
-1
Let S : R³ → R² be the linear transformation whose standard matrix is A.
Let U : R² → R³ be the linear transformation whose standard matrix is AT (the transpose of A).
Let P: R³ → R³ be the linear transformation which first applies S and then applies U.
Let Q: R² → R² be the linear transformation which first applies U and then applies S.
Find the standard matrix of P and the standard matrix of Q. Clearly indicate which is which in
your work.
Please select file(s) Select file(s)
Save Answer
Q3
4 Points
Let T: R4 → R³ be the linear transformation defined by the formula
11
x1+x3+2x4
T
x2 + 3 + 24
Is
−1 +222 +23
I
i. (2 points) Find the standard matrix of T.
ii (2 points) Determine if I is one-to-one and determine if I' is onto.
Please select file(s) Select file(s)
Chapter 4 Solutions
Basic Technical Mathematics
Ch. 4.1 - Change 17°24′ to decimal form.
Ch. 4.1 - Prob. 2PECh. 4.1 - Prob. 3PECh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7E
Ch. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - In Exercises 15–18, by means of the definition of...Ch. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Exercises 19–22, use a calculator conversion...Ch. 4.1 - In Exercises 19–22, use a calculator conversion...Ch. 4.1 - In Exercises 19–22, use a calculator conversion...Ch. 4.1 - Prob. 22ECh. 4.1 - In Exercises 23–26, use a calculator conversion...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - In Exercises 31–34, change the given angles to...Ch. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - In Exercises 35–42, draw angles in standard...Ch. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - A windmill rotates 15.6 revolutions in a...Ch. 4.2 - In Example 2, change (3, 4) to (4, 3) and then...Ch. 4.2 - Prob. 2PECh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - In Exercises 3–18, find values of the...Ch. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - In Exercises 19–26, find the values of the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - In Exercises 19–26, find the values of the...Ch. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - In Exercises 27-30, each given point is on the...Ch. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.3 - Find the value of sin 12.5°.
Ch. 4.3 - Find θ if tan θ = 1.039.
Ch. 4.3 - Find the values of cot 56.4°.
Ch. 4.3 - Prob. 4PECh. 4.3 - Prob. 1ECh. 4.3 - In Example 5, change sec 27.82° to csc 27.82° and...Ch. 4.3 - In Exercises 1–4, make the given changes in the...Ch. 4.3 -
In Exercises 1–4, make the given changes in the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - In Exercises 5–20, find the values of the...Ch. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - In Exercises 21–36, find θ for each of the given...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - In Exercises 41–44, use a calculator to verify the...Ch. 4.3 - Prob. 42ECh. 4.3 - In Exercises 41–44, use a calculator to verify the...Ch. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - In Exercises 51–54, find the values of the...Ch. 4.3 - In Exercises 51–54, find the values of the...Ch. 4.3 - In Exercises 51–54, find the values of the...Ch. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - In Exercises 55–60, solve the given problems.
The...Ch. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.4 - Prob. 1PECh. 4.4 - Prob. 2PECh. 4.4 - Prob. 3PECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 13ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 19ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 29ECh. 4.4 - In Exercises 7–30, solve the right triangles with...Ch. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - In Exercises 31–34, find the part of the triangle...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - In Exercises 35–38, find the indicated part of the...Ch. 4.4 - Prob. 37ECh. 4.4 - In Exercises 35–38, find the indicated part of the...Ch. 4.4 - Prob. 39ECh. 4.4 - In Exercises 39–42, solve the given problems.
40....Ch. 4.4 - In Exercises 39–42, solve the given problems.
41....Ch. 4.4 - Prob. 42ECh. 4.5 - Find θ if the letters in the road are 2.0 m long,...Ch. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 5ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 8ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - In Exercises 3–44, solve the given problems....Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - In Exercises 23-28, find the indicated...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - In Exercises 5–20, find the values of the...Ch. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - In Exercises 29–36, find the values of the...Ch. 4 - In Exercises 29–36, find the values of the...Ch. 4 - Prob. 36RECh. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - Prob. 38RECh. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - In Exercises 37–48, find θ for each of the given...Ch. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - In Exercises 49 and 50, assume θ is an acute angle...Ch. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - In Exercises 51–60, solve the right triangles with...Ch. 4 - In Exercises 51–60, solve the right triangles with...Ch. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 -
In Exercises 61–105, solve the given...Ch. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - The apparent power S in an electric circuit in...Ch. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 88RECh. 4 - Prob. 89RECh. 4 - Prob. 90RECh. 4 - Prob. 91RECh. 4 - Prob. 92RECh. 4 - Prob. 93RECh. 4 - Prob. 94RECh. 4 - Prob. 95RECh. 4 - Prob. 96RECh. 4 - Prob. 97RECh. 4 - Prob. 98RECh. 4 - Prob. 99RECh. 4 - In Exercises 61–105, solve the given...Ch. 4 - Prob. 101RECh. 4 - Prob. 102RECh. 4 - Prob. 103RECh. 4 - Prob. 104RECh. 4 - In Exercises 61–105, solve the given...Ch. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Find tan θ in fractional form if (assume θ is...Ch. 4 - Find csc θ if tan θ = 1.294 (assume θ is acute).
Ch. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PT
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- The three right triangles below are similar. The acute angles LL, LR, and ZZ are all approximately measured to be 66.9°. The side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. Z 20.17 m 60.51 m 66.9° 7.92 m 66.9° 80.68 m 66.9° 23.76 m 31.68 m Take one 18.55 m K P 55.65 m X 74.2 m Y (a) For each triangle, find the ratio of the length of the side opposite 66.9° to the length of the hypotenuse. Round your answers to the nearest hundredth. JK JL PQ PR XY ☐ XZ (b) Use the ALEKS Calculator to find sin 66.9°, cos 66.9°, and tan 66.9°. Round your answers to the nearest hundredth. sin 66.9° = ☐ cos 66.9° tan 66.9° = ☐ (c) Which trigonometric function gives each ratio of sides in part (a)? Osine Ocosine Otangent none of thesearrow_forwardAccording to an economist from a financial company, the average expenditures on "furniture and household appliances" have been lower for households in the Montreal area than those in the Quebec region. A random sample of 14 households from the Montreal region and 16 households from the Quebec region was taken, providing the following data regarding expenditures in this economic sector. It is assumed that the data from each population are distributed normally. We are interested in knowing if the variances of the populations are equal. a) Perform the appropriate hypothesis test on two variances at a significance level of 1%. Include the following information: i. Hypothesis / Identification of populations ii. Critical F-value(s) iii. Decision rule iv. F-ratio value v. Decision and conclusion b) Based on the results obtained in a), is the hypothesis of equal variances for this socio-economic characteristic measured in these two populations upheld? c) Based on the results obtained in a),…arrow_forwardPlease plot graphs to represent the functionsarrow_forward
- EXAMPLE 6.2 In Example 5.4, we considered the random variables Y₁ (the proportional amount of gasoline stocked at the beginning of a week) and Y2 (the proportional amount of gasoline sold during the week). The joint density function of Y₁ and Y2 is given by 3y1, 0 ≤ y2 yı≤ 1, f(y1, y2) = 0, elsewhere. Find the probability density function for U = Y₁ - Y₂, the proportional amount of gasoline remaining at the end of the week. Use the density function of U to find E(U).arrow_forward7.20 a If U has a x² distribution with v df, find E(U) and V (U). b Using the results of Theorem 7.3, find E(S2) and V (S2) when Y₁, Y2,..., Y, is a random sample from a normal distribution with mean μ and variance o².arrow_forwardAccording to a survey conducted by the American Bar Association, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Washington, D.C., is a lawyer. a If you select a random sample of 1500 Americans, what is the approximate probability that the sample contains at least one lawyer? b If the sample is selected from among the residents of Washington, D.C., what is the ap- proximate probability that the sample contains more than 30 lawyers? c If you stand on a Washington, D.C., street corner and interview the first 1000 persons who walked by and 30 say that they are lawyers, does this suggest that the density of lawyers passing the corner exceeds the density within the city? Explain.arrow_forward
- 7.50 Shear strength measurements for spot welds have been found to have standard deviation 10 pounds per square inch (psi). If 100 test welds are to be measured, what is the approximate probability that the sample mean will be within 1 psi of the true population mean? 7.51 Refer to Exercise 7.50. If the standard deviation of shear strength measurements for spot welds is 10 psi, how many test welds should be sampled if we want the sample mean to be within 1 psi of the true mean with probability approximately 992arrow_forward8.12 The reading on a voltage meter connected to a test circuit is uniformly distributed over the interval (0, +1), where 0 is the true but unknown voltage of the circuit. Suppose that Y₁, Y2,..., Y, denote a random sample of such readings. a Show that Y is a biased estimator of and compute the bias. b Find a function of Y that is an unbiased estimator of 0. C Find MSE(Y) when Y is used as an estimator of 0.arrow_forwardx 1.1 1.2 1.3 f 3.1 3.9 य find numerical f'(1) by using approximation.arrow_forward
- No chatgpt pls will upvote Already got wrong chatgpt answer Plz no chatgpt downvote.arrow_forwardQ/Let G be a simple graph-show that if Gis not connected, then it is complement is Connected.arrow_forwardQ/prove that if d (u,v) >2 then there is a vertex z in G st. d (u,v) = d(u, z)+d(z₁v)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSON
Discrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Trigonometric Ratios; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=9-eHMMpQC2k;License: Standard YouTube License, CC-BY