
To find: the length of the shorter leg and the longer leg.

Answer to Problem 16PPS
The length of the shorter leg is 13 in and the longer leg is 22.516 in.
Explanation of Solution
Given:
Hypotenuse = 26 inches
Calculation:
In a right angled
In the current problem, the triangle is a 30°-60°-90°triangle with hypotenuse being equal to 26 in.
Let the smaller leg be x.
The hypotenuse is equal to
Thus, from question, smaller leg x is
The longer leg is given by
Keeping values,
Longer leg
Conclusion:
The length of the shorter leg is 13 in and the longer leg is 22.516 in.
Chapter 10 Solutions
Pre-Algebra Student Edition
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Calculus: Early Transcendentals (2nd Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
College Algebra with Modeling & Visualization (5th Edition)
A First Course in Probability (10th Edition)
- Use the infinite geometric sum to convert .258 (the 58 is recurring, so there is a bar over it) to a ratio of two integers. Please go over the full problem, specifying how you found r. Thank you.arrow_forwardH.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+x3=0 4x1+ +3x3=0arrow_forwardneed help with 5 and 6 pleasearrow_forward
- 1) Given matrix A below, answer the following questions: a) What is the order of the matrix? b) What is the element a13? c) What is the element a₁₁? 4 -1arrow_forward[25 points] Given the vector let v = ER² and the collection of vectors ε = E-{)·()}-{☹) (9)} = {(A)·(9)}· B: = and C = · {(6)·(})}· answer the following question. (a) (b) (c) (d) (e) verify Verify is a basis for R² and find the coordinate [] of under ε. Verify B is a basis for R2 and find the coordinate []B of ʊ Verify C is a basis for R2 and find the coordinate []c of under ε. under ε. Find the change-of-basis matrix [I]+B from basis B to basis ε, and EE+BUB Find the change-of-basis matrix [I]B+ε from basis Ɛ to basis B, and verify [U]B= [] B+EVEarrow_forwardExplain the following terms | (a) linear span (b) dimension of vector space (c) linearly independent (d) linearly dependent (e) rank of matrix Aarrow_forward
- 3. Let u = 3/5 √ = and = -4/5 -() Define V span{ū, }. (a) (b) (c) Show that {u, } is orthonormal and forms a basis for V. Explicitly compute Projy w. Explicitly give a non-zero vector in V+.arrow_forwardIs 1.1 0.65 -3.4 0.23 0.4 -0.44 a basis for R3? You must explain your answer 0arrow_forwardFind the values of x and y in the following scalar multiplication. 8 2 x 1 3 || y = 9 LY_ Show Calculatorarrow_forward
- A professor gives two types of quizzes, objective and recall. He plans to give at least 15 quizzes this quarter. The student preparation time for an objective quiz is 15 minutes and for a recall quiz 30 minutes. The professor would like a student to spend at least 5 hours total (300 minutes) preparing for these quizzes. It takes the professor 1 minute to grade an objective quiz, and 1.5 minutes to grade a recall type quiz. How many of each type of quiz should the professor give in order to minimize his grading time (why still meeting the other requirements outlined)?arrow_forwardTable 15-21 shows the relative frequencies of the scores of a group of students on a philosophy quiz.Table 15-21 Score45678 Relative frequency7%11%19%24%39%arrow_forwardInstructions: Answer each question showing all work. 1. Out of 30 animals at a veterinarian clinic, 8 cats and 4 dogs have been vaccinated. 6 cats and 12 dogs are not yet vaccinated. Create a two-way frequency table to represent the data. 2. Convert the table from number 1 into a two-way relative frequency table. Instructions: Based on the tables created in questions 1 and 2 above, answer questions 3-7. 3. What percentage of cats from the total animals are vaccinated? 4. What is the relative frequency of dogs from the total animals that are not yet vaccinated? 5. What is the conditional frequency of cats that have not been vaccinated? 6. What is the marginal frequency of the total number of animals vaccinated? 7. What is the joint frequency of the cats that are vaccinated?arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





