Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm 20, start text, space, c, m, end text and width 16 \text{ cm}16 cm 16, start text, space, c, m, end text. The painting and frame together form a larger rectangle with length 25 \text{ cm}25 cm 25, start text, space, c, m, end text and width 20 \text{ cm}20 cm 20, start text, space, c, m, end text. Find the area of the frame.

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

What is the length of the midsegment of a trapezoid with bases of length 15 and 25 ?