Geometry Questions from Dec 11,2024

Browse the Geometry Q&A Archive for Dec 11,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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5. Formula semplificata L'area di un cerchio è \( 196 \pi \mathrm{~cm}^{2} \). Calcola la misura del raggio. Applica la formula e semplifica il numero \( \pi \), come nel problema risolto della teoria. 6. IL CASO DA cHIARIRE la palyelia La base di una padella circolare ha l'area di \( 452,16 \mathrm{~cm}^{2} \). Quanto misura il raggio? E il diametro? Triangle \( A B C \) has vertices \( A(0,-1), B(-3,-4) \), and \( C(-5,-2) \). Which statement about triangle \( A B C \) is true? It is a right triangle because \( \overline{A B} \perp \overline{B C} \). It is not a right triangle because no two sides are congruent. It is not a right triangle because no two sides are perpendicular. It is a right triangle because \( \overline{A B} \perp \overline{A C} \). - Circle \( A \) has a diameter of approximately 20 inches and an area of approximately 300 inches squared. Which of these could be the area of Circle \( B \) ? A. About 100 inches squared B. About 300 inches squared C. About 900 inches squared D. About 2700 inches squared Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. \( \mathrm{x}^{2}+\mathrm{y}^{2}+4 \mathrm{x}-2 \mathrm{y}-20=0 \) The equation of the circle in standard form is (Simplify your answer.) \begin{tabular}{l} The center of the circle is \\ (Type an ordered pair.) \\ The radius of the circle is \( \mathrm{r}=\square \). \\ Use the graphing tool to graph the circle. \\ \hline Click to \\ enlarge \\ graph \end{tabular} Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the domain and range. \[ (x+6)^{2}+(y-2)^{2}=25 \] The center is \( \square \). (Type an ordered pair. Simplify your answer.) The radius is \( \square \). (Type an integer or a simplified fraction.) Craphe circle. Click to Express the domain of the relation in interval notation. \( \square \) Write the standard form of the equation of the circle with the given center and radius. Center \( (4,5), r=8 \) Type the standard form of the equation of the circle. \( \square \) (Simplify your answer.) 9- Sabe-se que os lotes de um condomínio fechado săo vendidos ao preço de Rs 350,00 o metro quadrado. Nessas condiçôes, por quanto será vendido o lote representado na figura abaixo, sabendo que tem a forma de um trapézio retângulo com as dimensőes indicadas? \[ 10 \mathrm{~m} \] Find the midpoint of the line segment with the given endpoints. \[ (-2,-5) \text { and }(-4,-2) \] The midpoint is \( \square \). (Type an ordered pair.) Find the distance between the pair of points \( (4,2) \) and \( (9,7) \). If necessary, express the answer in simplified radical forr and then round to two decimal places. The distance between the given points is (Simplify your answer. Type an exact answer, using radicals as needed.) Express the distance rounded to two decimal places if the exact simplified answer contains radicals. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The distance between the given points is approximately \( \square \) units. (Type an integer or decimal rounded to two decimal places as needed.) Determine whether the lines through each pair of points are parallel, perpendicular, or neither. \( (-2,-13) \) and \( (0,-5)(0,-7) \) and \( (4,-6) \) Parallel Perpendicular Neither
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