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Hogar Banco de preguntas Matemáticas Geometría Archive 2025 January 20

Geometry Questions from Jan 20,2025

Browse the Geometry Q&A Archive for Jan 20,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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5. En un triángulo \( A B C \) se traza la bisectriz interior \( B M \) tal que \( A B=B M \) y \( B C=2(M C)=8 \) Calcule \( A M \). \( \begin{array}{lll}\text { A) } 1 & \text { B) } 2 & \text { C) } 3 \\ \text { D) } 4 & \text { E) } 5 & \end{array} \) Dado un romboide \( A B C D \), en \( B C \) y \( C D \) se ubican los puntos \( L \) y \( Q \), respectivamente \( A L \cap B D=\{P\}, m \angle A L Q=m \angle P Q D=90^{\circ} \). Si \( A P=5 \), calcule \( P Q \). A) 4 B) 5 C) 6 D) 7 E) 8 In un parallelogrammo la somma delle misure della base e dellaltezza ad essa relintiva io so cm . Calcola l'area del parallelogrammo sapendo che l'altezza è \( \frac{2}{3} \) della base. 53 In un parallelogrammo la somma delle misure della base e dell'altezza ad essa relativa ie so cin. Calcola l'area del parallelogrammo sapendo che l'altezza è \( \frac{2}{3} \) della base. 16007 cm When granular materials fall, they form conical piles. The angle of slope, measured from the horizontal, at which the material comes to rest is called the angle of repose. The angle of repose is related to the height h and base radius r of the conical pile by the equation \( \theta=\cot ^{-1} \frac{\mathrm{r}}{\mathrm{h}} \). When certain granular materials are stored in a pile 12 feet high, the diameter of the base of the pile is 65 feet. (a) Find the angle of repose for these granular materials. \( \theta=20.27^{\circ} \) (Round to two decimal places as needed.) (b) What is the base diameter of a pile that is 17 feet high? diameter \( =92.07 \) feet (Round to two decimal places as needed.) (c) What is the height of a pile that has a base diameter of approximately 134 feet? height \( =\square \) feet (Round to two decimal places as needed.) 1. En un trapecio rectángulo \( A B C D \) recto en \( A \) y \( B \) se ubica en su región interior un punto \( P \), tal que \( (P B)^{2}-(P C)^{2}=20 \) y \( (P A)^{2}-(P D)^{2}=8 \), siendo \( A D=2(B C) \). Calcule \( B C \). \( \begin{array}{lll}\text { A) } 4,5 & \text { B) } 5 & \text { C) } 5,5 \\ \text { D) } 4 & \text { E) } 6 & \end{array} \) 53 In un parallelogrammo la somma delle misure della base e dell'altezza ad essa relativa è 50 When granular materials fall, they form conical piles. The angle of slope, measured from the horizontal, at which the material comes to rest is called the angle of repose. The angle of repose is related to the height h and base radius r of the conical pile by the equation \( \theta=\cot ^{-1} \frac{\mathrm{r}}{\mathrm{h}} \). When certain granular materials are stored in a pile 12 feet high, the diameter of the base of the pile is 65 feet. (a) Find the angle of repose for these granular materials. \( \theta=20.27^{\circ} \) (Round to two decimal places as needed.) (b) What is the base diameter of a pile that is 17 feet high? diameter \( =\square \) feet (Round to two decimal places as needed.) In un parallelogrammo la somma delle misure della base e dell'altezza ad essa retativactsc cm. Calcola l'area del parallelogrammo sanendo che l'altezza è 2 della base. (soo cm'l) 3 In un parallelogrammo la somma delle misure della base e dell'altezza ad essa relativa è 50 cm . Calcola l'area del parallelogrammo sapendo che l'altezza è \( \frac{2}{3} \) della base.
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