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Home Question Bank Math Geometry Archive 2024 November 17

Geometry Questions from Nov 17,2024

Browse the Geometry Q&A Archive for Nov 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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One of the ancient stone pyramids in Egypt has a square base that measures 145 m on each side. The height is 87 m . What is the volume of the pyramid? One of the ancient stone pyramids in Egypt has a square base that measures 147 m on each side. The height is 102 m . What is the volume of the pyramid? What is the volume of a triangular prism that has a height of \( 6 \mathrm{in} . \), a triangular base that measures 8 in . on each side, and a height of \( 6.93 \mathrm{in} . ? \) Find the area of the triangle shown to the right. 13 Le plan est muni du repère orthonormé direct (O, I, J). A est le point d'affixe \( z_{\mathrm{A}} \) et OAB est un triangle isocèle de sommet O , tel que : mes \( (\overrightarrow{\mathrm{OA}}, \overrightarrow{\mathrm{OB}})=\theta+k 2 \pi,[k \in \mathbb{Z}] \) Faire la figure et déterminer l'affixe de B dans chacun des cas suivants : \( \begin{array}{ll}\text { (1) } z_{\mathrm{A}}=3+2 i, \theta=\frac{5 \pi}{6} & \text { (2) } z_{\mathrm{A}}=5, \theta=-\frac{7 \pi}{3}\end{array} \) Selena Henson is planning a patio that will adjoin the sides of her L-shaped home. One side of the patio is 60 ft and the other is 32 ft . The shape of the patio is triangular. Determine a representation of the patio and find the perimeter if the length of the third side is 68 ft . 13 Le plan est muni du repère orthonormé direct (O, I, J). A est le point d'affixe \( z_{\mathrm{A}} \) et OAB est un triangle isocèle de sommet O, tel que : mes \( (\overrightarrow{\mathrm{OA}}, \overrightarrow{\mathrm{OB}})=\theta+k 2 \pi,[k \in \mathbb{Z}] \). Faire la figure et déterminer l'affixe de B dans chacun des cas suivants : \( \begin{array}{ll}\text { (1) } z_{\mathrm{A}}=3+2 i, \theta=\frac{5 \pi}{6} & \text { (2) } z_{\mathrm{A}}=5, \theta=-\frac{7 \pi}{3}\end{array} \) How many square feet of steel are needed to manufacture a spherical water tank with a diameter of \( 41 \mathrm{ft?} \) What are the lateral surface area and total surface area of a cylindrical oil storage tank that has a 42 -ft diameter and 17 -ft height? Find the lateral surface area and total surface area of the cone that has a radius of 12 ft , slant height of 15 ft , and height of 9 ft .
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