Geometry Questions from Nov 14,2024

Browse the Geometry Q&A Archive for Nov 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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3. A right rectangular prism has edge lengths of \( 3 \frac{1}{2} \mathrm{ft}, 2 \frac{1}{4} \mathrm{ft} \), and \( 4 \frac{1}{3} \mathrm{ft} \). Safara wants to completely fill the prism with identical cubes. The cubes must have edge lengths that are unit fractions. What is the greatest edge length of the cubes that Safara could use? Explain. 1. Determina si cada enunciado es verdadero o falso. Explica con un ejemplo en caso de ser falso. a. Dados dos puntos distintos, hay exactamente una recta que pasa por los dos. b. Si hay dos rectas paralelas y se traza una recta que interseca a una de ellas, esa recta también interseca a la otra. c. Dos rectas pueden ser perpendiculares, aunque en el dibujo no sean secantes. d. Si \( r \) il \( s \) entonces, \( r \) y \( s \) son secantes. e. Si \( r \) y \( s \) son secantes, entonces \( r \perp s \). Traza segmentos de rectas con las siguientes medidas. a. \( \overline{A B} \) mide 18 cm . b. \( \overline{C D} \) mide la tercera parte de la medida de \( \overline{A B} \). c. \( \overline{E F} \) mide la mitad de la medida de \( \overline{C D} \). If a 36 -storey building is 110 -meter high, using the formula \( d=\sqrt{\frac{3 h}{2}} \) for sight distance when \( d \) is the distance in miles and h is height where the person is, how far can you see the builden on a clear day? ( 1 mile \( =1609.3 \mathrm{~m} \) ) uestions: How would you illustrate the problem? How far can you see the building on a clear day? If the height of the building increases/decreases, what might happen to the sight distaned Justify your answer. A right rectangular prism has edge lengths of \( 3 \frac{1}{2} \mathrm{ft}, 2 \frac{1}{4} \mathrm{ft} \), and \( 4 \frac{1}{3} \mathrm{ft} \). Safara wants to completely fill the prism with identical cubes. The cubes must have edge lengths that are unit fractions. What is the greatest edge length of the cubes that Safara could use? Explain. Determinar las coordenadas del centro, el vértice \( y \) los focos de las hipérbolas determinadas por las siguientes ecuaciones. a. \( 9 x^{2}-y^{2}-18 x+16 y-36=0 \) b. \( 4 y^{2}-x^{2}-16 y+4 x-88=0 \) c. \( y^{2}-4 x^{2}+2 y+4 x-19=0 \) d. \( 4 x^{2}-y^{2}+40 x+6 y+87=0 \) Fill in the blanks with integers The points \( M(3,2) \) and \( N(-1,4) \) are the ends of a diameter of circle \( C \). Find the equation of the tangent to the circle \( C \) at the point \( P(-1,6) \). Answer: -3 Sia \( A B C D \) un rombo. Dimostra che \( C \widehat{A} D \) e \( B \widehat{D} A \) sono complementari.
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