Consider points A(2, –3,4), B(0, 1,2) and C(-1, 2,0). 1.4 Find the area of parallelogram ABCD with adjacent sides AB and AC. 1.5 Find the area of triangle ABC.
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A: We have to plot the points A(1,0) ,B(5,0),C(4,3) D(2,3) on the coordinate plane. Next we have to…
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Q: a) parallelogram, then find its area: P2(1, 0, 1), P3 (0, 1, 1), p.(1.1.1) Show that the four points…
A: Solution:-
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Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,-1,4), C(a. b.c), the midpoint M(1. 0,9) of…
A: The complete solutions are given below
Q: Find the area of the triangle formed by the three points P(1,0,1), Q (2,0,2), and R(3,3,3). a) 2.2…
A: Given that The three points To find the area of the triangle formed by the three points
Q: Consider points A(2, –3,4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: A) Find the measures of the angle between the diagonals of the rectangle whose vertices are:…
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Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,–1,3), C(a,b,c), the midpoint M(1,0,8) of…
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Q: In a parallelogram ABCD, |AB|= 12,|AC = 14. The distance from D to AC is 4. Find the distance from D…
A: Since you have asked multiple questions in a single request, we would be answering only the first…
Q: of the followWing could not be side measures of ISOsceles triangle? (TEKS 6.8A,RC3, SS)
A: Given, A isosceles triangle is shown below :
Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…
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Q: V The coordinates of A,B,C, D are (6,3),(3,5) (4,-2) & C, 32) sespectively and A DOe %3D A AB C of…
A: Using coordinates area formula for ABC A =1/2{ x1(y2-y3)+x2(y3-y1)+x3(y1-y2) Substitute the values…
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A: According to the guideline we should have been able to solve only one question at a time #7 as per…
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Q: Consider the parallelogram defined by A(3,6), B(7,10), C(15,10), and D(11,6). Determine the area of…
A: Solution
Q: Find the area of the triangle with the given vertices. Hint: -||u x v|| is the area of the triangle…
A: In this question we have to find the area of the triangle.
Q: Let A= (−4,5,−4),B= (−5,2,−5),C=(−8,4,−7), and D= (−7,7,−6). Find the area of the parallelogram…
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Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…
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Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…
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Q: Show that the points A(2, 3), B(4, 9), and C(-2, 7) are the vertices of an isosceles triangle. Find…
A: The triangle is as below:
Q: Consider ABCD, with A (-4, 4), B (1,6), C (–1, 1). and D( 6, 1). ABCD Is a parallelogram. Show that…
A: We know that, the diagonals of a parallelogram bisect each other at right angles. Therefore, mid…
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Q: The coordinates at the vertices A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…
A: If we can find the height of the triangle then area can find out using 12×base×height
Q: What is the area of the triangle whose vertices are at (p,q) (3p,q) and (2p,3q), where p.q>0 ? C2pq…
A: We have to find the area of the triangle whose vertices are p,q,3p,q, and 2p,3q.
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Q: In this exercise we find the area of a plane figure. Draw the parallelogram with vertices A(3, 5),…
A: Here we have to draw the parallelogram with vertex A(3,5), B(7,5), C(5,8), and D(9,8). The graph of…
Q: 19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2).…
A: Given: The coordinates of the quadrilateral are: A=2,0B=3,4C=-2,6D=-3,2 To Prove: ABCD is a…
Q: Use the Pythagorean theorem to determine the length of each segment in the figure shown. 6. 1. AB 4…
A: The given figure is: From the given diagram it is clear that: AX=3BX=3YG=1FY=4CZ=5DZ=3
Q: P(2, 2), Q(4, 2), R(8, 8), S(10, 8)
A: Given vertices are P(2,2) Q(4,2) R(8,8) S(10,8) find the area of the parallelogram
Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…
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Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,–1, 8), C(a, b, c), the midpoint M(1,0, 2)…
A: Given: A parallelogram has sides AB, BC, CD, and DA. Given A1, -1, 8, Ca, b, c, the midpoint M1, 0,…
Q: Given that C is midpoint of AB, if A(-2,4) and C(3,-6), what are the coordinates of B
A: To find the coordinates of B
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Q: Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the…
A: The triangle ABC with vertices A(0,2), B(2,0), C(2,2)The dilating factor of 3 about origin.
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A: Note : When multiple questions posted, then only first question or one preferred question is has tto…
Q: Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with…
A: Given points A(3,-1,2) B(2,1,5) C(1,-2,-2)
Q: 5(b) Given a parallelogram ABCD with points M and N that trisect the diagonal [BD] (see diagram…
A: A figure is shown M and N trisect diagonal BD
Q: Determine the measure of the interior angle at vertex A. 6x 6x 6x 3x 3x O A. 37.5° В. 22.5° C. 67.5°…
A: Now the sum of all the interior angles is, n-2·180°=5-2·180° ∵n=number of sides=5=540°
Q: Consider points A(2, –3, 4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…
A: Given points are A=(2, -3, 4)B=(0, 1, 2)C=(-1,…
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Q: Find the measures of 25 and 24 in the given rhombus with the diagonals drawn. 19 m24 =. degrees m25…
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Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).
A: The question is from Advanced Calculus
Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…
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Q: Classify the triangle PEN as scalene, isosceles, or equilateral from the given vertices. P(4, 7),…
A: We have been given the coordinates of a triangle P(4, 7) E(6, 2) N(5, -2)
Q: find the general form of an equatoin for the perpendicular bisector of the segment AB where A=(-1,2)…
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- Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.The price (in rands) in June of a 1 kg packet of laundry in KwaDukuza is shownis shown below for each 5 years.Year 2016 2017 2018 2019 2020Price 17.8 29.6 41.1 46.3 46.52.2.1 Find the percentage increase in the price of laundry detergent between eachperiod. (2)2.2.2 Use the 4 percentages in question 2.2.1 above, to calculate the overall geometricmean percentage increase in the price of laundry detergent each year. (3)2.2.3 Interpret the geometric mean calculated in 2.2.2 above.
- In the multichannel model (M/M/m), we must assume that the average service time for all channels is the same. True FalseBased on Angel et al. (2003). A fertilizer companyis trying to determine the cheapest fertilizer mix thatprovides desired amounts of nutrients. The mix ismade by combining the following fertilizers: SSA,SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage ofpotassium (K), sulfur (S), calcium (Ca), sodium (Na)and phosphorus (P) in each fertilizer is listed in the fileP06_88.xlsx. For example, a pound of SSA is 16% Kand 26% Na. The mix must contain at least 600 poundsof K, 550 pounds of S, 750 pounds of Ca, 900 poundsof Na, and 750 pounds of P. The mix cannot containboth GUR and TSP, because if both are present in themix, the affect of other fertilizers is nullified. The costper pound (in cents) of each fertilizer is listed in thesame file. Develop a linear integer model to find theminimum-cost fertilizer mixture that meets the statedchemical requirements.The table below contains monthly share prices for Pfizer Inc. (PFE) and Astrazeneca Plc. (AZN). It also contains the monthly prices for the S&P 5000 index (S&PCOMP). Date Time S&PCOMP PFE AZN 2/1/2019 0 2510.03 43.25 37.80 1/2/2019 1 2706.53 42.88 36.65 1/3/2019 2 2803.69 43.36 41.76 1/4/2019 3 2867.19 42.84 41.27 1/5/2019 4 2923.73 40.77 37.35 3/6/2019 5 2744.45 41.92 37.90 1/7/2019 6 2964.33 43.77 41.31 1/8/2019 7 2953.56 38.25 44.00 3/9/2019 8 2906.27 36.12 45.27 1/10/2019 9 2940.25 35.43 43.66 1/11/2019 10 3066.91 38.39 48.39 2/12/2019 11 3113.87 38.29 48.38 2/1/2020 12 3257.85 39.14 50.39 3/2/2020 13 3248.92 37.51 48.51 2/3/2020 14 3090.23 34.88 45.87 1/4/2020 15 2470.50 31.75 43.78 1/5/2020 16 2830.71 37.64 51.86 1/6/2020 17 3055.73 35.46 55.16 1/7/2020 18 3115.86 33.74 53.32 3/8/2020 19 3294.61 38.35 56.82 1/9/2020 20 3526.65 36.88 55.38 1/10/2020 21 3380.80 36.37 54.30 2/11/2020 22 3310.24 36.23 50.62 1/12/2020 23…
- I want example of last-come first-served (LCFS)Table 2 Department Mean SD CoefVar Min Q1 Median Q3 Max IQR Skewness Finance 6.052 3.874 64.01 1.630 3.393 4.585 7.500 22.860 4.107 2.00 HR 5.441 3.235 59.45 2.000 3.200 4.100 6.430 21.860 3.230 1.24 IT 5.880 3.887 66.10 0.530 3.250 4.630 6.8 24.980 3.550 2.18 Marketing 6.010 3.737 62.18 1.670 3.475 5.000 6.645 22.200 3.170 2.14 Training 6.095 3.719 61.02 1.500 3.330 5.000 7.640 20.000 4.310 2.00 CoefVar stands for coefficient of variation graph (1) The company has hired you to answer the following questions: Do you think that the salaries in the departments are skewed, justify your answer with proper measure from table (2).Use this data and create a model that estimates a student's giving rate as an alumni based on the three parameters provided. If a class has a graduation rate of 74, the % of classes under 20 student equal to 55, and a Student=Faculty Ratio of 19, what should we expect our Alumni Giving Rate to be? (Enter a whole number) University Graduation Rate % of Classes Under 20 Student-Faculty Ratio Alumni Giving Rate Boston College 85 39 13 25 Brandeis University 79 68 8 33 Brown University 93 60 8 40 California Institute of Technology 85 65 3 46 Carnegie Mellon University 75 67 10 28 Case Western Reserve Univ. 72 52 8 31 College of William and Mary 89 45 12 27 Columbia University 90 69 7 31 Cornell University 91 72 13 35 Dartmouth College 94 61 10 53 Duke University 92 68 8 45 Emory University 84 65 7 37 Georgetown University 91 54 10 29 Harvard University 97 73 8 46 Johns Hopkins University 89 64 9 27 Lehigh University 81 55 11 40 Massachusetts Inst.…