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Home Question Bank Math Geometry Archive 2024 November 20

Geometry Questions from Nov 20,2024

Browse the Geometry Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Adal tiene una caja que mide 18 cm de largo, 4 cm de altura y 10 cm de ancho. Ma-- nuel tiene una caja de 15 cm de largo, 7 cm de ancho y 8 cm de altura. ¿Cuál caja tiene mayor volumen? Para encontrar la anchura AB de un río se con- struyeron 2 triángulos semejantes, como se mues- tra en la figura. Y al medir se encontró que: \( \overline{A C}=420 u, \overline{C D}=28 u \), y \( \overline{D E}=45 u \). ¿Cuál es la anchura del río? Cai went to the store to buy a new TV. The sales clerk asked "How large is your current TV?". Cai replied "It is 39 inches wide and 22 inches tall". The sales clerk explained that TVs are sold by the measurement along the diagonal of the screen. Save Cai a trip home to remeasure - What is the diagonal measurement for Cai's current TV? Round your answer to the nearest whole number. Cai has a 51. Si el radio del cono recto de la figura mide 3 cm y su altura es el triple del radio. ¿Cuál es su volumen?: WRITE Which properties of a figure are preserved under a rotation from the preimage to the image? Explain. Select all that apply. A) Angle measures are preserved because angle measures remain the same measure. B) Parallelism is preserved because parallel lines remain parallel. C) Position is preserved because the image and the preimage are congruent. D) Distance is preserved because the lengths of segments remain the same measure. E) Collinearity is preserved because points remain on the same lines. On a circle with a radius of 3 , what is the length of the horizontal side at the angle \( \pi ? \) -1 0 3 Diketahui \( \triangle P Q R \) sebangun dengan \( \triangle P S t \), dengan \( S t=9 \mathrm{~cm}, Q R=6 \mathrm{~cm}, P Q=4 \mathrm{~cm} \), dan \( R T=3 \mathrm{~cm} \). Hitunglah panjang \( P R, P T \), QS, dan \( P S \). 11. a. How many diagonals are in a 53 -gon? b. Name the polygon that has 1,710 diagonals. 14. The \( 12^{\text {en }} \) grade class of 80 students is assembled in a large circle on the football fietd at halftime. Every student is connecled by a string to each of the other class members. a) How many pieces of string are necessary to connect all of the students to each othen b) Which rule did you use and why? Let \( \vec{a} \) and \( b \) be the vectors given by \( \vec{a}=\langle 2,0,-1\rangle \) and \( b=\langle 1,-1,3\rangle \). (1) Compute (i) \( \|\vec{a}\| \) and \( \|\vec{b}\| \) (ii) \( \vec{a} \cdot \vec{a}, \vec{a} \cdot \vec{b} \) in two different ways. (iii) \( \vec{a} \times \vec{b} \) and \( \vec{b} \times \vec{b} \) (2) Assume that \( \theta \) is the angle between the two vectors \( \vec{a} \) and \( \vec{b} \). Write down \( \cos \theta \) in terms of \( \vec{a} \cdot \vec{b} \) and \( \|\vec{a}\| \) and \( \|\vec{b}\| \). Deduce \( \cos \theta \) and find the angle \( \theta \) between the two vectors. (3) Find an equation of the plane \( P \) containing \( \vec{a} \) and \( \vec{b} \)
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