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Home Question Bank Math Geometry Archive 2024 December 23

Geometry Questions from Dec 23,2024

Browse the Geometry Q&A Archive for Dec 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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T 5 - Mathematical Knowledge If a right triangle has one side that measures 5 cm and a hypotenuse that measures \( 5 \sqrt{2} \mathrm{~cm} \), what is the measure of the other side? A 5 cm B 25 cm C \( 5 \sqrt{3} \mathrm{~cm} \) D \( 10 \sqrt{2} \mathrm{~cm} \) Click the button or type the letter to the left of your answer. RT 5 - Mathematical Knowledge What is a circle's diameter if its area is \( 25 \pi \) square inches? A 5 inches B 10 inches C 25 inches D 50 inches Click the button or type the letter to the left of your an 5 - Mathematical Knowledge What is the volume of a right circular cylinder that has a diameter of 6 meters and a height of 10 meters? A \( 60 \pi \) B \( 90 \pi \) C \( 120 \pi \) D \( 360 \pi \) What is the approximate surface area of a box that is 8 inches wide, 12 inches long, and 9 inches tall? A 276 sq. in. Emilio is designing a desk decoration which is part of a sphere 8 cm in diameter. The decoration is 7 cm high. The diagram shows a cross-section of the decoration. The equation of the circle is \( \mathrm{x}^{2}+\mathrm{y}^{2}=16 \). a) Write down the equation of the base. b) Solve these simultaneous equations and find the diameter of the base. Emilio is designing a desk decoration which is part of a sphere 8 cm in diameter. The decoration is 7 cm high. The diagram shows a cross-section of the decoration. The equation of the circle is \( x^{2}+y^{2}=16 \). a) Write down the equation of the base. b) Solve these simultaneous equations and find the diameter of the base. 663. Сторона ромба дорівнюе 13 см, а одна з діагоналей - 10 см. Знайдіть другу діагональ ромба. 661. Основа рівнобедреного трикутника дорівнює 16 см, а висота, проведена до основи, -15 см. Знайдіть бічну сто- рону трикутника. 35. Verifica che i punti \( A(1,-1), B(-2,1), C(-8,5) \) sono allineati. (Suggerimento: basta mostrare che \( \overline{A C}=\overline{A B}+\overline{B C} \).) Elif dikdörtgen biçimindeki karton ũzerine, kartonun kenarlarıyla ve birbiriyle çakışmayan paralel çizgiler çizyor. Çizgilerin 19 tanesi kısa kenara paralel, 107 tanesi uzun kenara paraleldir. Çizilen her çizgi kartonun iki kenanyla kesişmektedir. Buna göre Elif bu kartonu, çizdiği çizgiler boyunca keserse kaç tane dikdörtgen karton parçası oluşur? \( \begin{array}{llll}\text { A) } 5! & \text { B) } 4 \text { - } 5 \text { ! } & \text { C) } 6 \text { ! } & \text { D) } 3 \cdot 6! \\ \text { E) } 5 \cdot 6!\end{array} \)
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