

Z B (0,0,10) m nABC UAB A 0 C(0,7,0) my 'AC A (24,0,0) m X Problem...
△ABC is a right triangle with
right angle C. Side AC is 6 units longer than side BC . If the
hypotenuse has length 52–√ units, find the length of AC.
courseware-Google Chrome a https://www.casa.uh.edu /Root/Pages/CW aspx?id 643857CE-8CB9-4B21-AC4B-1AD73C216A8D CourseWare Quiz 18 Howard, Calvin d) V10 e)V30 f None of the above CLOCK Start 11/7/2018 11:42:20 AM Taken 00:02:02 NAVIGATION Question 5 Q 1 Q2 Q3 Q4 Your answer is INCORRECT [100 Q 6 ABC is a right triangle with right...
Let R(A,B,C,D) be a relation with FDs F = {A—B, AC, C-A, B,C, ABC-D} Which of the following statements is correct ? (2 points) Select one: G = {A-B, B-C, C-A, AC=D } is a canonical cover of F H = { AC, CA, BC,BD} is a canonical cover of F. o F is a canonical cover of itself. O G and H are canonical covers of F. None of the above.
Find the area of the triangle ABC. a = 11.6 m b=5.2 m C=13.4° What is the area of the triangle? m2 (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as nee Enter your answer in the answer box.
all three
Problem 3: (circle one answer) (10 points) If F = (10/+10+ 10 k) N and G = (20/+20+20k} N, then F-G={_ A) 10 i + 10j + 10k IN B) 301 + 20j + 30K C) - 101-103-10k D) 301 + 30j + 30k E) None of the above Problem 4: (circle one answer) (10 points) If r = {5/) m and F = ( 10 ) N, the moment rx F equals {_ m. A) 501 B)...
28 Consider (O:OAOB) an orthonormal system in space. Let G be the center of gravity of triangle ABC. 1° Calculate the coordinates of G 2°Consider the points A' (2 ;0:0) ,B, (0:2:0) and C" (0:0,3). a) Verify that these three points define a plane. b) Write a system of parametric equations of the plane (A'BC'). 3 Write a system of parametric equations of line (AC). 4° Verify that K (4:0-3) is the trace of the line (AC) with the plane...
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
Given in space the points A(4,7,1), B(2,1,3), and c(0,-1,2) The vectors ū = AB , and ✓ = AC a. (9%) Find ū. v , ū x ū , proj, u b. (3%) Find the area of triangle ABC. c. (3 %) Find the parametric equation of line (AB). d. (3 %) Find the distance from point C to the line (AB). e. (3 %) Find the equation of the plane (ABC). A relatively easy way of getting into international...
Find the area of the triangle ABC. a= 104.2 m b=70.2 m c=95.8 m What is the area of the triangle? m? (Round to the nearest square meter as needed.) с 10 Solve the triangle 32° A B 28 What is the length of side a? a= (Round to the nearest whole number as needed.) What is the measure of angle B? o B= (Round to the nearest degree as needed.) What is the measure of angle C?.. C=0 (Round...
Problem 3 (10pt). Consider the sets V1 = {[a, b, c, d]T E R*: a+c=0}, V2 = {[a, b, c, d]T ER+ : a+c= 0,b+d=1}, V3 = {[a,b,c,d)' e R+ : ac =0}. Decide if V1, V2, V3 are subspaces of R4. Explain. Bonus (5pt). If one of V1, V2, V3 is a subspace find a basis for it and find its dimension.
3-) A B C D E cover sectioned below is hinged from point A. The AC - part is at an angle of (2) with horizontal, the CO part is upright and the DE part is at an angle of 180-22) with horizontal. The AC and DE parts of the cover have an isosceles triangle and the CD parts are rectangular. On the left side of the cover, there is a liquid with a specific gravity & above the B,...