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Home Question Bank Math Geometry Archive 2025 January 04

Geometry Questions from Jan 04,2025

Browse the Geometry Q&A Archive for Jan 04,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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2401 In un trapezio rettangolo la base minore è \( \frac{7}{9} \) di quella maggiore. Sapendo che la differenza fra le due basi misura 64 cm e che larea è \( 25600 \mathrm{~cm}^{2} \), calcola la lunghezza dell altezza. 1100 cm 5. Jim runs a company that makes ball bearings. The bearings are shipped in boxes that are then loaded onto trucks. Each bearing has a diameter of 0.96 cm . a) Each box can hold \( 8000 \mathrm{~cm}^{3} \) of ball bearings. How many ball bearings can a box hold? b) Each ball bearing has a mass of 0.95 g . Determine the mass of each box. c) The maximum mass a truck can carry is 11000 kg . What is the maximum number of boxes that can be loaded into a truck? d) Besides the ball bearings' mass, what else must Jim consider when loading a truck? a \( 10 \mathrm{~A}(0,2) \mathrm{B}(2,1) \mathrm{P}(3,2) \mathrm{Q}(5,6) \) Find the equation of the straight line perpendicular to \( y=-2 x+1 \) which passes through (4.3). \[ \sqrt{\frac{2.83 \times 5.31}{2.83+\sin 46^{\circ}}} \] 3. Given that x and y are positive integers and \( 2 \mathrm{x}-4 \mathrm{y}=3 \), evaluate \( \frac{16^{\circ}}{256^{\circ}} \) 4. the figure below, ADC is a chord of a circle centre O passing through \( \mathrm{A}, \mathrm{B} \) and Calculate the area of the sector OABC 308 In un rombo, che ha il lato di 6 cm , la somma e la differenza delle diagonali misurano rispetti- vamente \( 16,8 \mathrm{~cm} \) e \( 2,4 \mathrm{~cm} \). Quanto misurano le due diagonali? Quanto vale il perimetro? \( [7,2 \mathrm{~cm} ; 9,6 \mathrm{~cm} ; 24 \mathrm{~cm}] \) Prove that : \( 10.1 \quad \mathrm{PTKQ} \) is a cyclic quadrilateral 10.2 \( \begin{array}{ll}\mathrm{PK} \text { bisects } T K \hat{Q} . \\ 10.3 & \hat{\mathrm{~A}}=\hat{\mathrm{Q}}_{3} . \\ 10.4 & \text { If } \hat{\mathrm{T}}_{2}=\hat{\mathrm{P}}_{1} \text { then } \mathrm{A} \hat{\mathrm{Q} T}=90^{\circ} .\end{array} \) A cylinder has a radius that is half its height. If the height is 10 cm, what is the radius of the cylinder? Deterumua ASINTOTI e CENTRO de: \[ e: 3 x^{2}-10 x y+3 y^{2}-2 x-2 y+3=0 \] L'altezza di un parallelepipedo rettangolo misura 17 cm e il volume è \( 4675 \mathrm{~cm}^{3} \). Una dimensione di base misura 25 cm . Calcola il perimetro della base. \( \quad[72 \mathrm{~cm} \) ] 23 In un trapezio isoscele l'area è \( 5632 \mathrm{~cm}^{2} \), le basi sono una \( \frac{17}{5} \) dell'altra e la loro differenza è lunga 96 cm . Calcola il perimetro del trapezio.
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