Geometry Questions from Dec 15,2024

Browse the Geometry Q&A Archive for Dec 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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0. Divide la figura de abajo en cuatro partes iguales. What is the formula for the surface area of a sphere in terms of its radius? 1. Queremos vallar un campo rectangular utilizando diferentes materiales en cada Empezando por el fondo del campo y moviéndonos alrededor de éste en el se contrario a las agujas del reloj, el coste del material para cada lado es de \( 6 € / \mathrm{m} \). 9 \( 12 € / \mathrm{m} \) y \( 14 € / \mathrm{m} \), respectivamente. Si tenemos que gastar exactamente 1000 € comprar el material del cercado, determina las dimensiones del campo que maximiz Exercice 1: (6 points) Peut-on construire un triangle \( A B C \) dont les cotes mesurent : a. \( A B=13 \mathrm{~cm}, B C=8 \mathrm{~cm}, \quad A C=6 \mathrm{~cm} \) ? b. \( A B=3 \mathrm{~cm}, \quad B C=5 \mathrm{~cm}, \quad A C=9 \mathrm{~cm} \) ? Justifie tes réponses. \( \begin{array}{ll}21 & \text { Il raggio della ruota di una bicicletta è di } \\ 20 \mathrm{~cm} \text {. } & \text { de } \\ \text { a) Calcola la circonferenza della ruota. } & \text { alt } \\ \text { b) Durante un tragitto il contagiri della } & \text { pi } \\ \text { ruota ha contato } 5000 \text { giri completi. } & \text { a } \\ \text { Quanto era lungo il tragitto? } & \\ \text { Approssima ai decimi. } & \text { (a) } 126 \mathrm{~cm} ; \mathrm{b}) 6,3 \mathrm{~km}]\end{array} \) Calculate the volume of a composite solid that consists of a cylinder with a height of 10 cm and a base radius of 3 cm, topped with a hemisphere of the same radius. \( \frac{\text { Opgave } 4}{\text { I en retvinklet trekant, hvor vinkel C er ret, kendes kateten } a=10.2 \text { og arealet af trekanten T=61.2. hvad er } b=?} \) 26 A hipotenusa de um triangulo retangulo mede 2 dme um dos catetos possui ( 0,4 )dma mais que o outro. Nessas condiçes, o menor cateto desse triangulo mede, em decimetros: \( \begin{array}{ll}\text { (A) } 1 & \text { (C) } \frac{6}{5} \\ \text { (B) } \frac{2}{5} & \text { (b) } \frac{8}{5}\end{array} \) Find the equation for the parabola with vertex at \( (2,-5) \) and directrix \( x=-1 \). Show your work! If \( a=24, b=18 \), and \( c=16 \), find \( m \angle C \)
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