Geometry Questions from Jan 05,2025

Browse the Geometry Q&A Archive for Jan 05,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Lana has an illustration she wants enlarged. It is 6 cm wide and has an area of \( 48 \mathrm{~cm}^{2} \). she wants both the width and the height doubled. Kelly glues unit cubes together by matching a \( 1 \times 1 \) face to another \( 1 \times 1 \) face to create the open-top box shown. The box has a bottom made of \( 1 \times 1 \) cubes. What is the total number of cubes used to create this box? Lana has an illustration she wants enlarged It is 6 cm wide and has an area of \( 48 \mathrm{~cm}^{2} \). She wants both the width and the height doubled. Jerry needs to paint the inside of the garage - the two side walls and the rear wall. The garage is 6 m long. 3 m wide and 2 m high. He can buy the paint in \( 2-\mathrm{L} \) and in \( 500-\mathrm{mL} \) tins. One L willcover \( 14 \mathrm{~m}^{2} \). If a rectangular box has dimensions of 2 m, 3 m, and 4 m, what is the volume of the box in cubic meters? Jerry needs to paint the inside of the garage - the two side walls and the rear wall. The garage is 6 m long, 3 m wide and 2 m high. He can buy the paint in \( 2-\mathrm{L} \) and in \( 500-\mathrm{mL} \) fins. One L wilfcover \( 14 \mathrm{~m}^{2} \). You just found the scale factor for three pairs of corresponding points in triangles \( A^{\prime} B^{\prime} C^{\prime} \) and \( A^{\prime \prime} B^{\prime \prime} C^{\prime \prime} \). Is there a dilation from triangle \( A^{\prime} B^{\prime} C^{\prime} \) to triangle \( A^{\prime \prime} B^{\prime \prime} C^{\prime \prime} \) with center \( P \) ? (2) Considera il poliedro qui a fic a. le facce b. gli spigoli c. i vertici d. una diagonale e. due facce aventi uno spigolo in f. due vertici che non appartengo g. due spigoli sghembi h. due facce parallele i. due spigoli paralleli Question 2 of 5 Which system of conic sections can have 2 solutions? Draw a picture of each to support you! 2. Emefa walked \( 2 t \mathrm{~km} \) from a village, P to \( v_{i_{\text {sit }}} \) a friend in another village, Q on a bearing of \( 065^{\circ} \). After spending some time with her friend, she continued to a nearby town, R , \( 3 t \mathrm{~km} \) away on a bearing of \( 155^{\circ} \). If the distance between P and R is \( 6 \sqrt{13} \mathrm{~km} \) : (a) illustrate the information in a diagram; (b) calculate, correct to the nearest whole number, the: (i) value of \( t \); (ii) bearing of R from P .
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