A child's desk is made so that it is a replica of a full-size adult desk. Suppose the top of the full-size desk measures 48 inches long by 27 inches wide. If the top of a child's desk is 36 inches long and is similar to the full-size desk, what is the width?

Use geometric formulas to find the unsigned area between the graph of \( y=f(x) \) and the \( x \)-axis over the indicated interval. \( f(x)=x+10 ;[2,11] \) The area between \( f(x) \) and the \( x \)-axis is (Type an exact answer, using \( \pi \) as needed.)

В треугольнике \( A B C \) к стороне \( A B=6 \) см опущена высота, длина которой составила 22 см. Найди площадь этого треугольника и дай ттвет в квадратных сантиметрах.

find the center and radius of the circle \( x^{2}-2 x+y^{2}=3 \)

Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If the smaller gear rotates through an angle of \( 270^{\circ} \), through how many degrees will the larger gear rotate?

find the center and radius of the circle \( x^{2}-2 x+y^{2}=3 \)