The high school athletics department is installing a new rectangular addition to their current practice field. The length of the new addition will be at least 10 meters more than twice the width of the new addition. The original field has an area of 300 square meters. The area of the entire practice field, with the addition, must be no more than 1,200 square meters. If A represents the area of the entire practice field, including the new addition, and x represents the width of the new addition, in meters, which system of inequalities can be used to represent this situation?

The measure of the angles of triangle abc are given by the expressions in the table. angle-measure a-48 degrees b-(6x-28)degrees c- (2x) degrees find the value of x. then find the measures of angles b and c. enter your answers in the boxes. x= m m

Evaluate the expression for the given value of the variable. ∣-4b-8∣+∣-1-b^2 ∣+2b^3 ; b=-2

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.