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Home Question Bank Math Geometry Archive 2025 January 10

Geometry Questions from Jan 10,2025

Browse the Geometry Q&A Archive for Jan 10,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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La ecuación de la directriz de la parábola \( y^{2}=8 x+8 \) \( \begin{array}{llll}\text { a) } x-3=0 & \text { b) } y-3=0 & \text { c) } x+3=0 & \text { d) } y+3=\end{array} \) \( \left.\begin{array}{l}48 \text { Dadas as rectas } \\ r:\left\{\begin{array}{c}y=2 \\ 2 x+z=13\end{array} \quad s:\left\{\begin{array}{l}x+2 y=4 \\ x\end{array}-z=3\right.\right.\end{array}\right\} \begin{array}{l}\text { e o punto } A(0,0,3) \text {, acha a ecuación xeral do plano que } \\ \text { pasa por } A \text { e é paralelo a } r \text { e a } s \text {. }\end{array} \) 46 Calcula \( b \) para que as rectas \( r \) e \( s \) se corten. Obtén despois o punto de corte e a ecuación do plano que as contén: \( r: \frac{x-1}{2}=\frac{y+5}{-3}=\frac{z+1}{2} \quad \) s: \( \frac{x}{4}=\frac{y-b}{-1}=\frac{z-1}{2} \) 46 Calcula \( b \) para que as rectas \( r \) e \( s \) se corten. Obtén despois o punto de corte e a ecuación do plano que as contén: \( r: \frac{x-1}{2}=\frac{y+5}{-3}=\frac{z+1}{2} \) 46 Calcula 6 para que as rectas \( r \) e \( s \) se corten. Obtén despois opunto de corte e a ecuación do plano que as contén: \( r: \frac{x-1}{2}=\frac{y+5}{-3}=\frac{z+1}{2} \quad \) s: \( \frac{x}{4}=\frac{y-b}{-1}=\frac{z-1}{2} \) 1. A pole that is 18 feet high, casts a 240 -inch-long shadow. How long will the shadow of a 27 -foot pole be? Extension Two Triangles have the following coordinates: Triangle \( A B C \) \( A(-4,6), B(-2,1), C(2,4) \) Triangle CDE \( C(2,4), D(6,7), E(8,2) \) Are the triangle congruent? For a 45°-45°-90° triangle with a hypotenuse measuring 14 cm, find the lengths of each leg. 13-15. What are the kinds of triangle accerding to side? 16-18. Give the three kinds of quadrilaterals. 19-21. Give the kinds of triangles according to angles. 22-24. What are the three types of parallelograms? 25. What is the minimum number of sides of a plane figure? 26. Name the plane figure having six side. 27. Give the value of 0.5 in percent? 28. How many days in a week? 29. How many seconds in 1 minute? 30. How many years in a decade? 32. What is this symbol referred to in distance |a| 33-44. Give the number of days of each month. 45. In subtracting integers, change the sign of 46-50. What are the parts of addition and give an example, 51-55. What are the parts of subtraction and give an example. 56-60. What are the parts of multiplication and give an example. 61-65. What are the parts of division and give an example. 66-70. Show the corresponding parts of rational expressions to radical expressions. 71. What is the formula in finding the number of board foot of a piece of wood. 72. What is the formula for area? 73. Give the constant value of pi ( \( \pi \) ), 74. What is the normal body temperature of a person? 75. Who is the Father of the Coordinate Geometry (formulated the Cartesian Coordinate Svetem) Omkreds \( =2, x \cdot \pi \) \( =2,2,3,14=12,56 \) 4. Beregn omkredsen af cirklerne og afrund resultatet til en decimal.
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