5) A painting is 16 in tall and 8 in wide. If it is reduced to a width of 1 in, then how tall will it be?

5. वर्गाकार आधार भएको एउटा पिरामिडको पूरा सतहको क्षेत्रफल \( 14400 \mathrm{~cm}^{2} \) छ । यदि आधारको भुजा र ठाडो उचाइ \( 8: 3 \) को अनुपातमा भए, The total surface area of the square based pyramid is \( 14400 \mathrm{~cm}^{2} \) and the ratio between the side and vertical height is \( 8: 3 \). (a) एउटा वर्गाकार आधार भएको पिरामिडमा \( \ell^{2}=\left(\frac{\mathrm{a}}{2}\right)^{2}+\mathrm{h}^{2} \) भए \( \ell \) ले के जनाउँदछ ? In a square based pyramid \( \ell^{2}=\left(\frac{\mathrm{a}}{2}\right)^{2}+\mathrm{h}^{2} \), what does \( \ell \) represent? (b) उक्त पिरामिडको छड्के उचाइ पत्ता लगाउनुहोस् । (Find the slant height of the pyramid.) (c) आधारको क्षेत्रफल र त्रिभुजाकार सतहहरूको क्षेत्रफल तुलना गर्नुहोस् । Compare the area of base and area of triangular faces.

PREGUNTA 2 Hallar la distancia entre los pares de puntos \( \left(-5,-120^{\circ}\right) \) y \( \left(4,150^{\circ}\right) \) : 6,5

DETAILS MY NOTES AUFEXC4 7.4.025. In the figure below, \( \overline{M P} \) and \( \overline{N Q} \) intersect at \( O, N O=36 \mathrm{~cm}, M N=15 \mathrm{~cm}, M P=52 \mathrm{~cm} \), and \( Q O=12 \mathrm{~cm} \). Find the length of \( \overline{O P} \).

\( \triangle A B C \) underwent a sequence of rigid transformations to give \( \triangle A^{\prime} B^{\prime} C^{\prime} \). Which transformations might have taken place? A. a reflection across the \( y \)-axis followed by a reflection across the \( x \)-axis B. a rotation \( 90^{\circ} \). clockwise about the origin followed by a reflection across the \( x \)-axis C. a rotation \( 270^{\circ} \) clockwise about the origin followed by a reflection across the \( x \)-axis D. a reflection across the \( x \)-axis followed by a reflection across the \( y \)-axis

4.45. In the triangle \( A B C \), the altitudes \( A D \) and \( C E \) are drawn; \( M \) is their intersection point. Find \( Z A M C \) given \( Z B A C=25^{\circ} \) and \( B C A 75^{\circ} \).