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Home Question Bank Math Geometry Archive 2024 December 05

Geometry Questions from Dec 05,2024

Browse the Geometry Q&A Archive for Dec 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Prove: \( \triangle A B D \cong \triangle C B D \) \( \quad \begin{array}{l}7 \mathrm{ft} \times 7 \mathrm{ft} \times 6 \mathrm{ft} \\ =294 \mathrm{cu} \mathrm{ft} \\ 294 \mathrm{cuft} \times(1 \mathrm{box}) /(3 \mathrm{cu} \mathrm{ft}) \\ =98 \text { boxes }\end{array} \) 1) An estimate based solely on volume can be helpful but doesn't account for boxes not being able to use the entire volume due to shape. For a more accurate estimate, first determine how many boxes would fit across the width, if each box is 1.5 feet wide. Round down (Ex: Type 2.8 as 2). 5) Kyle coaches soccer and wants to determine how many soccer balls will fit in his trunk. The web tells Kyle that a soccer ball's diameter is 8.65 inches. Kyle realizes that just using trunk volume will be an overestimate due to balls not fitting evenly into a trunk's length, width, or height. So Kyle measures his trunk to be about \( 44^{\prime \prime} \) wide \( \times 46^{\prime \prime} \) long \( \times 20 \) " tall. Thus, \( 44 / 8.65=5 \) balls will fit across the width, \( 46 / 8.65=5 \) across the length, and 20/8.65 = 2 can be stacked high (all values rounded down). About how many balls will fit? ( 12 balls 50 balls Considera cualquier otro par de puntos \( A^{\prime \prime} \) y \( B^{\prime} \) que se correspondan entre si. ¿Cuaanto debe medir el ángulo 4) Kyle's uncle runs a golf driving range and asks Kyle if he'd like to have used golf balls for free to sell online. Kyle enthusiastically says yes. The uncle asks how many so his workers can get the balls ready for pickup. Kyle's Toyota Camry has 15.1 cubic feet. Kyle searches the web and learns a golf ball's diameter is 1.68 inches. Assuming a golf ball is a cube with length, width, and height each 1.68 inches, how many will fit? 770 5,500 3) Mary's parents ask her to pick up as many boxes of shoes as possible. Each box is \( 12^{\prime \prime} \times 8^{\prime \prime} \times 6^{\prime \prime} \). Mary realizes that just using trunk volume will be an overestimate due to boxes not fitting evenly into a trunk's length, width, or height. So Mary measures her trunk to be about \( 44^{\prime \prime} \) wide \( \times 46^{\prime \prime} \) long \( \times 20^{\prime \prime} \) tall. Placing the \( 12 " \) in the \( 44^{\prime \prime} \) width allows \( 44 / 12=3.7 \) or just 3 boxes across. Back, \( 46 / 8=5.75 \) or 5 boxes back. Tall, \( 20 / 6=3.3 \) or 3 boxes tall. How many boxes will fit? O 11 boxes ( 45 boxes iseña un plan. Determina el ángulo de giro de un punto en la primera figurar 2 . - Selecciona dos puntos \( A \) y \( B \) sobre la primera y la segundz figuras, respectivamente, de manera que \( A \) se correspond con \( B \) mediante la rotación aplicada entre las figuras. Traze segmentos PA y PB. ¿Cuál es la amplitud del ángulo \( \angle A P 8 \) 41) Une \( r \) has an equation of \( y+10=-2(x-6) \). Une \( s \) is perpendicular to line \( r \) and passes Unrough \( (1,2) \). What is the equation of line 5 ? Given the following measures of the sides of triangles, which is a right triangle? \[ \begin{array}{l}\text { (F) } 45 \mathrm{yd}, 35 \mathrm{yd}, 25 \mathrm{yd} \\ \text { (G) } 45 \mathrm{ft}, 40 \mathrm{ft}, 35 \mathrm{ft} \\ \text { (il) } 52 \mathrm{in} .50 \mathrm{in} ., 11 \mathrm{in} \\ \text { (D) } 41 \mathrm{~cm}, 40 \mathrm{~cm}, 9 \mathrm{~cm}\end{array} \] 41) Une \( r \) has an equation of \( y+10=-2(x-6) \). Une \( s \) is perpendicular to line \( r \) and passes through \( (1,2) \). What is the equavon of line \( s \) ?
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