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Home Question Bank Math Geometry Archive 2024 December 17

Geometry Questions from Dec 17,2024

Browse the Geometry Q&A Archive for Dec 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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In \( \triangle U V W, \overline{U V} \cong \overline{W U} \) and \( \mathrm{m} \angle W=51^{\circ} \). Find \( \mathrm{m} \angle U \) What is the slope of the line that passes through the points \( (0,0) \) and \( (0,5) \) ? in simplest form. If the volume of a cylinder is 150 cubic centimeters and the height is 10 cm, what is the radius of the base? Solve the word problems. 2.1) Find the volume of a cereal box that measures 20.5 inches high, 8 inches long and 3.25 inches wide. Area of base Si se sabe que los vertices de un triangulo son los puntos \( A(2,-1,6), B(-4,3,0) \) y \( C(-2,-3,4) \), Cual es la forma vectorial de la recta que contiene la mediana trazada desde el vertice A a. \( L: \quad(x, y, z)=(2,-1,6)+\lambda(-1,-1,4) \) b. \( L: \quad(x, y, z)=(2,-1,6)+\lambda(-5,1,-4) \) c. \( L: \quad(x, y, z)=(2,-1,6)+\lambda(5,-1,4) \) d. Ninguna de las mencionadas Si se sabe que los vertices de un triangulo son los puntos \( A(2,-1,6), B(-4,3,0) \) y \( C(-2,-3,4) \). Cual es la forma vectorial de la recta que contiene la mediana trazada desde el vertice \( A \) a. \( L: \quad(x, y, z)=(2,-1,6)+\lambda(-1,-1,4) \) b. \( L: \quad(x, y, z)=(2,-1,6)+\lambda(-5,1,-4) \) c. \( L: \quad(x, y, z)=(2,-1,6)+\lambda(5,-1,4) \) d. Ninguna de las mencionadas Que figura geometrica forma el area de interseccion entre la superficie cilindrica \( C: x^{2}+z^{2}=36 \) y el plano \( P: x-y=9 \) a. Circunferencia b. Parabola c. Elipse d. Hiperbola Calcula el área superficial total de un cubo cuyo lado mide 6 cm. (B) If \( \mathrm{A}(4,3), B(7,0), \mathrm{C}(1,-2) \) and \( \mathrm{D}(1,2) \) Prove that : (1) \( \overline{\mathrm{AD}} / / \overline{\mathrm{BC}} \) (2) The figure ABCD is trapezoid * 24. Analyze Geraldo is going to paint the interior walls of the lobby of the (local history museum. The room is 40 ft by 60 ft . Its height is 16 ft In order to purchase the right amount of paint, Geraldo must calculate the lateral surface area of the room. What is the lateral surface area? * 25 . There are approximately \( 2.25 \times 10^{12} \) grains of sand on a stretch of (46) beach, If a bucket holds \( 1.25 \times 10^{9} \) grains of sand, how many buckets would it take to remove all of the sand from the beach? * 26. Last month, Andrea missed two days of school because she had a (48) cold. What percent of school days did Andrea miss? Hint: Assume that there are 20 school days in a month.
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