(4) A rectangular toom has an area of \( 6+8 \sqrt{7} \mathrm{~m}^{2} \). The leng the of the room is \( 5+\sqrt{7} \mathrm{~m} \). find the width of the room, gicking the answer as an exact surd in its simglest form.

A rectangle has dimensions of 12 loches and 9 inches. Which of the following dimensions below betong to a simitar rectangle? a. 6 inches and 4 inches b. 36 inches and 27 inches c. 14 inches and 11 inches d. 24 inches and 16 inches

Objectives 1) Solve real-world problems involving the surface area and volume of cylinders, cones, and spheres through expansion and factorization. 2) Calculate the surface areas and volumes of cylinders, cones and spheres. N.B: You should know by heart the area and perimeter of a square, rectangle, and circle. The formulas of the surface area and volumes of the cylinder, cones, and spheres be given.

Persamaan lingkaran berpusat di titik \( \mathrm{O}(0,0) \) dan melalui titik \( (-4,-6) \) adalah.... A. \( x^{2}+y^{2}=16 \) B. \( x^{2}+y^{2}=36 \) C. \( x^{2}+y^{2}=48 \) D. \( x^{2}+y^{2}=52 \)

2. Titik \( L(9,-2) \) dicerminkan terhadap \( x=2 \) kemudian dilanjutkan translasi \( T\binom{-2}{4} \), bayangan titik \( L \) adalah \( \ldots \) \( \begin{array}{llll}\text { A. }\binom{-5}{2} & \text { B. }\binom{-3}{4} & \text { C. }\binom{7}{6} & \text { D. }\binom{7}{2}\end{array} \)

Si un ángulo central mide 50 grados, ¿qué medida tiene el arco que este angulo subtende?