Geometry Questions from Dec 30,2024

Browse the Geometry Q&A Archive for Dec 30,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The diagram below shows a prism, with a base that is regular hexagon. How many pla fsymmetry does it have? mark) Un parallelepipedo rettangolo alto 18 m ha le dimensioni della base di 5 m e 4 m , Calcola if volume e la massa del parallelepipedo, sup- ponendo che sia di ferro ( \( d=7,8 \) ). \[ \left[360 \mathrm{~m}^{3} ; 2808 \mathrm{t}\right] \] 6. Analitik düzlemde verilen bir \( A B C D \) paralelkenarının köşe noktalarının koordinatları \( A(2 a,-9), B(-7,2 b) \), \( C(-2,3 b+2) \) ve \( D(3 a,-2) \) 'dir. Bu paralelkenarın köşegenlerinin kesişim noktası F noktası olduğuna göre, AFD üçgeninin ağırık mer- kezinin \( F \) noktasına olan uzaklığı kaç birimdir? \( \begin{array}{lll}\text { A) } \frac{5 \sqrt{26}}{6} & \text { B) } \frac{5 \sqrt{26}}{3} & \text { C) } \frac{10 \sqrt{26}}{3} \\ \text { D) } 5 \sqrt{26} & \text { E) } 10 \sqrt{26}\end{array} \) the geometric sequence \( \frac{27}{4} ; \frac{9}{4} ; \frac{3}{4} ; \ldots ; \frac{1}{2916} \) 1. Analitik düzlemde \( A(-10,10), B(-3,-4) \) ve \( D(-4,1) \) noktaları veriliyor. \( C \in[A B], D \in[C E] \) olmak üzere, \( \frac{|A C|}{|A B|}=\frac{4}{7}, \frac{|C D|}{|C E|}=\frac{1}{4} \) 'tir. Buna göre, \( [A E] \) 'nın orta noktasının \( D \) noktasına olan uzaklığı kaç birimdir? \( \begin{array}{llll}\text { A) } 2 & \text { B) } 2 \sqrt{2} & \text { C) } 3\end{array} \) 2) through: \( (-2,-2) \), slope \( =2 \) 4) through: \( (2,-2) \), slope \( =-3 \) 6) through: \( (1,-1) \), slope \( =-1 \) 8) through: \( (-5,2) \), slope \( =\frac{3}{5} \) 10) through: \( (-1,4) \), slope \( =-9 \) 12) through: \( (2,-2) \), slope \( =-\frac{7}{2} \) 14) through: \( (-5,-4) \), slope \( =\frac{2}{5} \) 16) through: \( (1,-1) \), slope \( =-3 \) 18) through: \( (4,2) \), slope \( =0 \) 20) through: \( (2,-1) \), slope \( =-\frac{3}{2} \) on of the line through the given points. 22) through: \( (-3,-2) \) and \( (0,-4) \) \( (x+1)^{2}+(y-4)^{2}=9 \) groph the circle 29) through: \( (3,-1) \) and \( (-4,-1) \) 30) through: \( (5,5) \) and \( (-2,0) \) 1) through: \( (0,-5) \) and \( (-2,-5) \) 32) through: \( (-4,2) \) and \( (-2,1) \) 3) through: \( (0,4) \) and \( (-3,1) \) 34) through: \( (0,-4) \) and \( (-2,-1) \) 5) through: \( (-4,-4) \) and \( (0,-3) \) 36) through: \( (0,1) \) and \( (-2,5) \) 7) through: \( (-1,-1) \) and \( (-3,0) \) 38) through: \( (0,3) \) and \( (-4,2) \) 9) through: \( (-5,0) \) and \( (-5,-3) \) 40) through: \( (2,0) \) and \( (-4,5) \) A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its surface area? Examplen that a rectangular farmland has length 12 meters and width 6 meters. Find the upper and lower bounds of the sum of length and width of the farmland. . Find the range of the area of the farmland (upper and lower bounds of the area).
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